Welcome to  J. Gonzalo Muga's home page.
 

Index:

 Address
 List of publications (journals)
 Other publications (in books)
 "Time in Quantum Mechanics'' Workshops
"Wokshops on quantum optics and foundations of quantum mechanics"
  ''Time in Quantum Mechanics'' BOOK
 The group; Support for graduate students, postdocs, visitors...


Participants of the workshop "Time in Quantum Mechanics" (June 2000, Bilbao).  From left to right:
P. Busch, M. Appleby, R. Sala Mayato, D. Alonso, J. G. Muga, W. de Muynck, and I.L. Egusquiza.

Contact address

J. G. Muga
Departamento de Química-Física
Facultad de Ciencias, UPV-EHU
Apdo 644 Bilbao, Spain

Tel: (34)946015526

Email: qfpmufrj@lg.ehu.es

List of publications:
(To download some of them you need to be subscribed to the journal)

  1. Quantum Second Virial Coefficient Paradox

    2. J. G. Muga and J. Veguillas
    Phys. Lett. A118, 375-376, (1986)
     
  2. The intertwining relation for collisions in finite volume

    3. J. G. Muga and R. D. Levine
    Phys. Lett. A121, 201-204 (1987)
     
  3. Exact normalization of scattering states in Liouville space

    4. J. G. Muga
    J. Chem. Phys. 88, 486-497 (1988)
     
  4. On the Lippmann-Schwinger equation in Liouville space

    5.  J. Veguillas and J. G. Muga
    Physica A150, 172-198 (1988)
     
  5. A limit of applicability of formal scattering theory

    6. J. G. Muga
    Physica Scripta 38, 645-650 (1988)
     
  6. Subdynamics and perturbation theory in wave functions space

    7. J. G. Muga
    Physica A 153, 652-662 (1988)
     
  7. Invariants in potential scattering

    8. J. G. Muga
    Physica A 153 663-651 (1988)
     
  8. Dual ensemble and fluctuations for systems with random elements

    9. J. G. Muga and R. D. Levine
    Mol. Phys. 67, 1209-1223 (1989)
     
  9. Spectral moments for systems described by an ensemble of Hamiltonians

    10. J. G. Muga and R. D. Levine
    Mol. Phys. 67, 1225-1239 (1989)
     
  10. Stationary scattering theories

    11. J. G. Muga and R. D. Levine
    Physica Scripta 40, 129-140 (1989)
     
  11. Time dependent quantum mechanical approaches to the continuous spectrum: Scattering resonances in a finite box

    12. A. Hammerich, J. G. Muga and R. Kosloff
    Isr. Jour. Chem. 29, 461-471 (1989)
     
  12. A proposed mechanism for resonances in H + H2 collisions

    13. J. G. Muga and R. D. Levine
    Chem. Phys. Lett. 162, 7-13 (1989)
     
  13. The jz-conserving approximation as a probe for the entrance channel dynamics: H + H2

    14. J. G. Muga and R. D. Levine
    J. Chem. Soc. Faraday Trans. 86, 1669-1679 (1990)
     
  14. Transition from discrete to continuous spectrum: separable potential in one dimension

    15. J. G. Muga and R. F. Snider
    Can. J. Phys. 68, 394-402 (1990)
     
  15. Scattering by a separable potential in one dimension

    16. J. G. Muga and R. F. Snider
    Can. J. Phys. 68, 403-410 (1990)
     
  16. Classical trajectory studies versus statistical model predictions of the reagent rotational energy dependence for the reaction Cl + I C H3 --> Cl I + CH3

    17. L. Bañares, M. Menéndez, J. C. Whitehead, J. G. Muga and A. González Ureña
    Chemical Physics 146, 139-146 (1990)
     
  17. Quantum trajectories

    18. J. G. Muga
    Chemical Physics Research 1, 59-65 (1990)
     
  18. Scattering in a finite box

    19. J. G. Muga
    Trends in Chem. Phys. 1, 17-31 (1991)
     
  19. Classical transmittance and tunneling

    20. J. G. Muga
    J. Phys. A 24, 2003-2012 (1991)
     
  20. Stationary scattering as an initial value problem

    21. J. G. Muga
    Phys. Lett. A 157 325-329 (1991); 159 (1991) 442 (E)
     
  21. Coherent electron tunneling in triple coupled quantum wells

    22. H. Cruz and J. G. Muga
    Appl. Phys. A 54, 178-180 (1992)
     
  22. Asymptotic behaviour in phase space scattering

    23. J. G. Muga and R. F. Snider
    Phys. Rev. 45, 2940-2950 (1992)
     
  23. Time dependent electron tunneling through parabolic quantum wells

    24. H. Cruz and J. G. Muga
    Phys. Rev. B 45, 11885-11889 (1992)
     
  24. Characteristic times for resonant tunneling through double barrier heterostructures

    25. J. G. Muga and H. Cruz
    Physica B 179, 326-334 (1992)
     
  25. Transmission and reflection tunneling times

    26. J. G. Muga, S. Brouard and R. Sala
    Phys. Lett. A 167, 24-28 (1992)
     
  26. Violation of pure state condition of the classically evolved Wigner function

    27. J. G. Muga and R. F. Snider
    Europhysics Letters 19, 569-573 (1992)
     
  27. Equivalence between tunnelling times based on (a) absorption probabilities, (b) the Larmor clock, and (c) scattering projectors

    28. J. G. Muga, S. Brouard and R. Sala
    J. Phys.: Condens. Matter 4, L579-L584 (1992)
    Download it freely from IOP
     
  28. Transmittance for wave-packet scattering

    29. J. G. Muga, S. Brouard and R. F. Snider
    Phys. Rev. A 46, 6075-6078 (1992)
     
  29. Coherent and escape tunneling processes in asymmetric coupled quantum wells

    30. H. Cruz and J. G. Muga
    J. Appl. Phys. 72, 5750-5755 (1992)
     
  30. Wigner trajectories and Liouville's theorem

    31. R. Sala, S. Brouard and J. G. Muga
    J. Chem. Phys. 99,  2708-2714 (1993)
     
  31. Transmission, reflection and interference contributions to the tunnelling dwell time

    32. S. Brouard, R. Sala and J. G. Muga
    Europhys. Lett. 22, 159-165 (1993)
     
  32. Comparison of classical and quantum evolution of phase space distribution functions

    33. J. G. Muga, R. Sala and R. F. Snider
    Physica Scripta 47,  732 (1993)
     
  33. Quantum virial theorem for time dependent states

    34. J. G. Muga
    Am. J. Phys. 62,  183-184 (1994)
     
  34. Properties of the transition superoperator

    35. R. F. Snider and J. G. Muga
    Can. J. Phys 27, 152-161 (1994)
     
  35. A solvable model for inlastic scattering

    36. J. G. Muga and R. F. Snider
    Am. J. Phys. 62, 848 (1994)
     
  36. Systematic approach to define and classify quantum transmission and reflection times

    37. S. Brouard, R. Sala and J. G. Muga
    Phys. Rev. 49, 4312-4325 (1994)
     
  37. Quantal methods for classical dynamics in Liouville space

    38. R. Sala and J. G. Muga
    Phys. Lett. A 192, 180-184 (1994)
     
  38. Perfect absorbers for stationary and wave packet scattering

    39. S. Brouard, D. Macías and J. G. Muga
    J. Phys. A 27, L439-L445 (1994)
    Download it freely from IOP
     
  39. Optimization of absorbing potentials

    40. D. Macías, S. Brouard and J. G. Muga
    Chem. Phys. Lett 228,  672-677 (1994)
     
  40. First European Workshop on Tunnelling Times

    41. J. R. Barker, S. Brouard, V. Gasparian, G. Iannaccone, A. P. Jauho, C. R. Leavens,
    J. G. Muga, R. Sala and D. Sokolovski
    Phantoms Newsletter Nr. 7, Oct. 1994, pg. 5.
     
  41. Time of Arrival in Quantum Mechanics

    42. J. G. Muga, S. Brouard and D. Macías
    Annals of Physics (NY) 240, 351-366 (1995)
     
  42. Wigner function for the square barier

    43. J. G. Muga, R. Sala and S. Brouard
    Solid State Comunications 94, 351 (1995)
     
  43. Statistical properties of the delay time matrix

    44. J. G. Muga and D. M. Wardlaw
    Phys. Rev. E 51,  5377 (1995)
     
  44. Does positive flux provide a valid definition of tunneling times?

    45.  V. Delgado, S. Brouard and J. G. Muga
    Solid State Comm. 94,  979-982 (1995)
     
  45. The influence functional: Application to tunneling

    46. R. Sala, S. Brouard and J. G. Muga
    J. Phys. A 28, 6233-6244 (1995)
     
  46. Dwell time and asymptotic behaviour of probability density

    47. J. G. Muga, V. Delgado and R. F. Snider
    Phys. Rev. B 52, 16381-16384 (1995)
     
  47. Are anomalously short traversal times measurable?

    48. V. Delgado and J. G. Muga
    Annals of Physics (NY) 248, 122-133 (1996)
     
  48. Comparison of positive flux operators for transition state theory using a solvable model

    49. J. G. Muga, V. Delgado, R. Sala and R. F. Snider
    J. Chem. Phys. 104, 7015-7026 (1996)
     
  49. Short Time behaviour of the quantum probability density

    50. J. G. Muga, G. W. Wei and R. F. Snider
    Europhysics Letters 35, 247-252 (1996)
     
  50. Moderately dense quantum kinetic theorry: Aspects of Pair Correlations

    51. R. F. Snider, G. W. Wei and J. G. Muga
    J. Chem. Phys. 105, 3057-3065 (1996)
     
  51. Moderately dense quantum kinetic theorry: Transport Coefficient Expressions

    52. R. F. Snider, G. W. Wei and J. G. Muga
    J. Chem. Phys. 105, 3066-3078 (1996)
     
  52. Transient and asymptotic effects in tunneling

    53. S. Brouard and J. G. Muga
    Phys. Rev. 54, 3055-3066 (1996)
     
  53. Survival probability for the Yamaguchi potential

    54. J. G. Muga, G. W. Wei and R. F. Snider
    Annals of Physics 252,  336-356 (1996)
     
  54. Colisiones cuánticas en una dimensión

    55. J. G. Muga
    Rev. Acad. Can. Cien. 8, 9-74 (1996) (published by Academia Canaria de Ciencias.)
     
  55. Comments on - Quantum and Classical Probability Distributions for Position and Momentum- by R. W. Robinett [Am. J. Phys. 63(9)823-832(1995)]

    56. C.C. Real, J. G. Muga and S. Brouard
    Am. J. Phys. 65,  157-158 (1997)
     
  56. Phase space formalisms of quantum mechanics with singular kernel

    57. R. Sala, J. P. Palao and J. G. Muga
    Phys. Lett. A 231, 304-310 (1997)
    quant-ph/9901042
     
  57. Barrier traversal times using a phenomenological track formation model

    58. J. P. Palao, S. Brouard and J. G. Muga
    Phys. Lett. A233, 227-232 (1997)
    quant-ph/9901040
     
  58. Arrival time in quantum mechanics

    59. V. Delgado and J. G. Muga
    quant-ph/9704010
    Phys. Rev. 56, 3425-3435 (1997)
     
  59. Average local values and local variances in quantum mechanics

    60. J. G. Muga, J. P. Palao and R. Sala
    Phys. Lett. A 238, 90-94 (1998)
    quant-ph/9901041
     
  60. The arrival time concept in quantum mechanics

    61. J. G. Muga, R. Sala and J. P. Palao
    Superlattices and Microstructures 23, 833-842 (1998)
    quant-ph/9801043
     
  61. Solvable three boson model with attractive delta function interactions

    62. J. G. Muga and R. F. Snider
    quant-ph/9802068
    Phys. Rev. A 57, 3317-3329 (1998)
     
  62. A simple construction procedure of absorbing potentials

    63. J. P. Palao and J. G. Muga
    Chem. Phys. Lett. 292,  1-6 (1998)
     
  63. Composite absorbing potentials

    64. J. P. Palao, J. G. Muga and R. Sala
    Phys. Rev. Lett. 80, 5469-5472 (1998)
     
  64. Collisional transitory enhancement of the high momentum components of a quantum wave packet

    65. S. Brouard and J. G. Muga
    Phys. Rev. Lett. 81, 2621-2625 (1998)
     
  65. Space-time properties of free-motion time-of-arrival eigenstates

    66. J. G. Muga, C. R. Leavens and J. P. Palao
    Phys. Rev. A 58, 4336-4344 (1998)
     
  66. Comparison of complex potentials: Absorption width and robustness

    67. J. P. Palao and J. G. Muga
    J. Phys. Chem. 102,  9464-9469 (1998)
     
  67. Solvable model for quantum wavepacket scattering in one dimension

    68. J. G. Muga and J. P. Palao
    J. Phys. A 31,  9519-9533 (1998)
     
  68. Negative time delays in one dimensional absorptive collisions

    69. J. G. Muga and J. P. Palao
    Ann. Phys. (Leipzig) 7 671-678 (1998)
     
  69. Transient increase of high momenta in quantum wave packet collisions

    70. S. Brouard and J. G. Muga
    Ann. Phys. (Leipzig) 7  679-686 (1998)
     
  70. Arrival time distributions and perfect absorption in classical and quantum mechanics

    71. J. P. Palao, J. G. Muga and C. R. Leavens
    Physics Letters A 253  21-27 (1999)
    quant-ph/9803087
     
  71. Time of arrival in quantum mechanics

    72. J. G. Muga and C. R. Leavens
    Physics Reports 338 (2000) 353
     
  72. Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation

    73. A.D. Baute, R. Sala Mayato, J.P. Palao, J.G. Muga, I.L. Egusquiza
    quant-ph/9904055, Phys. Rev. A61, 022118 (2000)
     
  73. Free motion time-of-arrival operator and probability distribution

    74. I.L. Egusquiza and J.G. Muga
    quant-ph/9905023, Phys. Rev. A61, 012104 (1999) and Erratum, Phys. Rev. A61, 059901 (E) (2000) .
     
  74. Time-of-arrival distributions from position-momentum and energy-time joint measurements

    75. A. D. Baute, I. L. Egusquiza, J. G. Muga, R. Sala-Mayato
    quant-ph/9911088, Phys. Rev. A61 052111 (2000)
     
  75. Consistent histories, the quantum Zeno effect, and time of arrival

    76. I.L. Egusquiza and J.G. Muga
    quant-ph/0003041, Phys. Rev. A 62, 032103 (2000)
     
  76. Time dependence of evanescent quantum waves

    77. J. G. Muga and M. Buttiker
    Phys. Rev. A 62, 023808 (2000)
     
  77. Sources of quantum waves

    78. A. D. Baute, I. L. Egusquiza, J. G. Muga
    J. Phys. A 34, 4289 (2001)
    quant-ph/0007066
     
  78. Effect of classically forbidden momenta in one dimensional quantum scattering

    79. A. D. Baute, I. L. Egusquiza, J. G. Muga
    Int. J. Theor. Phys. Group Theor. and Nonl. Optics 8, 1 (2002)
    quant-ph/0007079.
     
  79. Evanescent waves in a time-of-arrival measurement model

    80. A. D. Baute, I. L. Egusquiza, J. G. Muga
    quant-ph/0012051.
    Phys. Rev. A 64, 014101 (2001)
     
  80. Transient interference of transmission and incidence

    81. A. Pérez, S. Brouard, J. G. Muga
    quant-ph/0005050.
    Phys. Rev. A 64, 012710 (2001)
     
  81. Time of arrival distributions for interacting potentials

    82. A. D. Baute, I. L. Egusquiza, J. G. Muga
    quant-ph/0102005.
    Phys. Rev. A 64, 012501 (2001)
     
  82. Comment on ``Foundations of quantum mechanics: Connection with stochastic processes´´

    83. D. Alonso, R. Sala, J. G. Muga
    quant-ph/0011038.
    Phys. Rev. A 64, 016101 (2001)
     
  83. Moller operators and Lippmann-Schwinger equations for step-like potentials

    84. A. D. Baute, I. L. Egusquiza, J. G. Muga
    J. Phys. A, 34, 5341 (2001)
    quant-ph/0104043.
     
  84. Asymptotic behaviour of the probability density in one dimension

    85. J. A. Damborenea, I. L. Egusquiza, J. G. Muga
    Am. J. Phys., 70, 738  (2002)
    quant-ph/0109151.
     
  85. Quantum times of arrival for multiparticle states

    86. A. D. Baute, I. L. Egusquiza, J. G. Muga
    Phys. Rev. A, in press (2002)
    quant-ph/0109133.
    Phys. Rev. A 65, 032114 (2002)
     
  86. Model for the arrival-time distribution in fluorescence time-of-flight experiments

    87. J. G. Muga, A. D. Baute, J. A. Damborenea, I. L. Egusquiza.
    quant-ph/0009111.  Superseded by Phys. Rev. A 65, 052104 (2002)
     
  87. Bounds and enhancements for negative scattering time delays

    88. J. G. Muga, I. L. Egusquiza, J. A. Damborenea, F. Delgado
    quant-ph/0206181.
    Phys. Rev. A 65, 042115 (2002)
     
  88. Time scale of forerunners in quantum tunneling

    89. G. García Calderón, J. Villavicencio, F. Delgado, J. G. Muga
    quant-ph/0206020.
    Phys. Rev. A 65, 042119 (2002)
     
  89. Transient response of a quantum wave to an instantaneous potential step switching

    90. F. Delgado, H. Cruz, J. G. Muga
    quant-ph/0207159.
    J. Phys. A 35, 10377 (2002)
     
  90. A measurement based approach to quantum arrival times

    91. J. A. Damborenea, I. Egusquiza, G. Hegerfeldt, J. G. Muga
    quant-ph/0209027.
    Phys. Rev. A 65, 052104 (2002)
     
  91. Quantum time-of-flight measurements: kick clock versus continuous clock

    92. D. Alonso, R. Sala Mayato, J. G. Muga
    quant-ph/0205136.
    Phys. Rev. A 67, 032105 (2003)

  92. Explicit solution for a Gaussian wave packet impinging on a square barrier

    93. A. L. Pérez Prieto, S. Brouard, J. G. Muga
    J. Phys. A 36, 2371 (2003)
    quant-ph/0301114.
     
  93. Suppression of Rabi oscillations for moving atoms

    94. B. Navarro, I. L. Egusquiza, J. G. Muga, and G. C. Hegerfeldt
    Phys. Rev. A 67, 063819 (2003)
    quant-ph/0302201.

  94. Tunneling dynamics in relativistic and nonrelativistic wave equations

    95. F. Delgado, J. G. Muga, A. Ruschhaupt, G. García-Calderón, J. Villavicencio
    Phys. Rev. A 68, 032101 (2003)
    quant-ph/0303133.

  95. Atomic time-of-arrival measurements with a laser of finite beam width

    96. J. A. Damborenea, I. L. Egusquiza, G. C. Hegerfeldt, J. G. Muga
    J. Phys. B 36, 2657 (2003)


  96. Quantum arrival times and operator normalization

    97. G. C. Hegerfeldt, D. Seidel, J. G. Muga
    Phys. Rev. A 68, 022111 (2003)

  97. Comment on: "On the standard quantum mechanical approach to times of arrival"

    98. I. L. Egusquiza, J. G. Muga, B. Navarro, A. Ruschhaupt
    Phys. Lett. A 313 (2003) 498

  98. Optimal atomic detection of ultracold atoms by control of detuning and spatial dependence of laser intensity

    99. B. Navarro, I. L. Egusquiza, J. G. Muga, G. C. Hegerfeldt
    J. Phys. B 36, 3899 (2003)

  99. Ultrafast propagation of Schr\"odinger waves in absorbing media
    100. F. Delgado, J. G. Muga and A. Ruschhaupt
    Phys. Rev. A 69, 022106 (2004)

  100. Comparison between semiclassical and composite absorbing potentials

    101. J. G. Muga y B. Navarro
    Chemical Physics Letters 390, 454-457 (2004)

  101. Complex Absorbing Potentials

    102. J. G. Muga, J. P. Palao, B. Navarro, I. L. Egusquiza
    Physics Reports 395 (2004), 357-426

  102. Exact and approximate complex potentials for modelling time observables

    103. A. Ruschhaupt, J. A. Damborenea, B. Navarro, J. G. Muga and G. C. Hegerfeldt
    Eur. Phys. Lett. 2004

  103. Operator-normalized quantum arrival times in the presence of interactions

    104. G. C. Hegerfeldt, D. Seidel, J. G. Muga, and B. Navarro
    Phys. Rev. A 2004

  104. Simultaneous arrival of information in absorbing wave guides

    105. A. Ruschhaupt and J. G. Muga
    Phys. Rev. Lett. 2004


    Other publications (in books, or ``popular science''): 
     
  105. Time in quantum mechanics, an overview

    106. A. D. Baute, S. Brouard, I. L. Egusquiza, J. G. Muga, R. Sala Mayato, J. P. Palao
    in Time's arrows, quantum measurements, and superluminal behaviour, A. Ranfagni, D. Mugnai and L. Schulman (eds.) (CNR, Roma, 2001) p. 67
     
  106. The Weyl-Wigner influence functional

    107. R. Sala, S. Brouard and J. G. Muga
    Proc. of the IV Wigner Symposium, (1996) pp. 176-179, eds. N. M. Atakishiyev, T. H. Seligman and K. B. Wolf (World Scientific, Singapore)
     
  107. Characteristic times in one dimensional collisions

    108. J. G. Muga, S. Brouard, V. Delgado and J. P. Palao
    Proc. of the Adriatico Conference ``Tunnelling and its implications'', eds. D. Mugnai et al. (World Scientific, Singapore 1997), pp. 34-49
     
  108. Classical aspects of tunneling

    109.  J. G. Muga, R. Sala and H. Cruz
    in Molecular Electronics and Molecular Electronic Devices, K. Sienicki (ed.), (CRC Press, Boca Raton) (1993), pp. 183-206 (Chap. 5)
     
  109. Characteristic times in scattering theory

    110. J. G. Muga
    in Time in Quantum Mechanics, J. G. Muga, R. Sala and I. L. Egusquiza (eds.), (Springer-Verlag 2002)
     
  110. Introduction

    111. J. G. Muga, R. Sala Mayato, I. L. Egusquiza
    in Time in Quantum Mechanics, J. G. Muga, R. Sala and I. L. Egusquiza (eds.), (Springer-Verlag 2002)
     
  111. ``Standard'' Quantum Mechanical Approach to Times of Arrival

    112. I. L. Egusquiza, J. G. Muga, and A. D. baute
    in Time in Quantum Mechanics, J. G. Muga, R. Sala and I. L. Egusquiza (eds.), (Springer-Verlag 2002)
     
  112. La mecánica cuántica en la vida diaria

    113. (Quantum mechanics in everyday life)
    J. G. Muga
    Anales de Química 97 (2001) 53
     
  113. Effect of Negative and Classically-Forbidden Momenta in One-Dimensional Quantum Scattering

    114. A. D. Baute, I. L. Egusquiza,  J. G. Muga
    in Theoretical Physics 2002, T. F. George and H. F. Arnoldus, eds., Nova Science (New York, 2002)
  114. Quantum Theory of Tunneling, book review

    115. J. G. Muga
    Physics Today, Feb. 2004

``Time in quantum mechanics'' (TQM) Workshops
 

      When do events occur?
      How long do physical processes take?

      In spite of the emphasis of quantum theory on the observable concept, there is no commonly accepted recipe to incorporate time observables and their distributions in the quantum formalism. This series of workshops is devoted to the discussion of  the different proposals to deal with time in quantum mechanics and other related subjects in foundations of quantum mechanics.

      Some of the discussed topics: tunnelling times, arrival times, jump times, arrows of time, joint measurements of non-commuting observables, time measurements, response times, transient effects, time operators, Zeno effect, interpretations of quantum mechanics, time-of-flight experiments/theory, measurement of characteristic times via atom-laser interaction

       Interested in participating? To attend the meetings, or to give a talk please contact me.

List of previous editions:

  1. La Laguna 1994
    2. Participants: J.R.  Barker,  S. Brouard, V. Gasparian, G. Iannaccone, A. P. Jauho, C. R. Leavens, J. G. Muga, R. Sala, D. Sokolovski
  2. La Laguna 1998
    3. Participants: Y. Aharonov, J. Halliwell, J. León, J. G. Muga, J. Oppenheim,  J. P. Palao, S. Popescu, B. Reznik, L. Schulman, D. Sokolovski, Tate


  3. La Laguna 1999
    4. Participants: M. Buttiker, J. G. Muga, A. Steinberg
  4. Bilbao 2000
    5. Participants: M. Appleby, P. Busch, I. L. Egusquiza, J. G. Muga, W. de Muynck, R. Sala Mayato


  5. La Laguna 2001
    6. Participants: S. Brouard, I. L. Egusquiza, C. R. Leavens, J. G. Muga, D. Sokolovski


  6. Bilbao 2001
    7. Participants: M. Appleby, I. L. Egusquiza, L. Garay, G. Hegerfeldt, J. León, J. G. Muga, R. Sala


  7. La Laguna  2002
    8. Participants: D. Alonso, I. L. Egusquiza, P. Facchi, J. G. Muga, S. Pascazio, L. S. Schulman, D. Sokolovski



  8. La Laguna, June 2003
    9. Participants: I. L. Egusquiza, G. C. Hegerfeldt, J. G. Muga, B. Navarro, A. Ruschhaupt, L. Schulman, M. O. Scully
     
  9. La Laguna, June 2004

    10. Participants: I. L. Egusquiza, V. Hannstein, G. C. Hegerfeldt, J. G. Muga,
     B. Navarro, T. Neumann, D. Seidel, D. Sokolovski, V. Zurek


``Workshops on quantum optics and foundations of quantum mechanics''

This  workshop series  is devoted to "atom optics" and to research on fundamental questions of quantum mechanics
based on the effect of lasers on atomic motion.

The last editions are:

II Workshop

III Workshop

IV Workshop





``Time in quantum mechanics'' Book
 
  WE ARE PREPARING THE SECOND EDITION 

                                        Muga, J.G., Universidad del Pais Vasco, Bilbao, Spain; Sala Mayato,
                                        R., Universidad de La Laguna, Spain; Egusquiza, I.L., Euskal Herriko
                                        Univertsitatea, Bilbao, Spain (Eds.)
 
 


                                   Time in Quantum Mechanics

                                        2002. XII, 400 pp. Hardcover
                                        3-540-43294-9
                                        Springer-Verlag
                                        LNP-m72
 

                                        The treatment of time in quantum mechanics is still an important and
                                        challenging open question in the foundation of the theory. This book
                                        describes the problems, and the attempts and achievements in defining,
                                        formalizing and measuring different time quantities in quantum theory,
                                        such as the parametric (clock) time, tunneling times, decay times, dwell
                                        times, delay times, arrival times or jump times. This multiauthored book,
                                        written as an introductory guide for the non-initiated as well as a useful
                                        source of information for the expert, covers many of the open questions.
                                        A brief historical overview is to be found in the introduction. It is followed
                                        by 12 chapters devoted to conceptual and theoretical investigations as
                                        well as experimental issues in quantum-mechanical time
                                        measurements. This  unique monograph should be of interest to physicists as well
                                        as philosophers of science working in the foundations of quantum
                                        physics.
 

      Contents:                    Introduction.- Characteristic Times in
                                        Scattering Theory.- The Time Energy Uncertainty Relation.- Jump Time
                                        and Passage Time: The Duration of a Quantum Transition.- Bohm
                                        Trajectory Approach to Timing Electrons.- Decoherent Histories for
                                        Space-Time Domains.- Quantum Traversal Time and Path Integrals.-
                                        Quantum Clocks and Stopwatches.- The Local Larmor Clock, Partial
                                        Densities of States and Mesoscopic Physics.- "Standard" Quantum
                                        Mechanical Approach to Times of Arrival.- Experimental Issues in
                                        Quantum-Mechanical Time Measurement.- Microwave Experiments on
                                        Tunneling Time.- The Two-State Vector Formalism of Quantum
                                        Mechanics.
 
 

       Keywords:                Quantum Measurement, Quantum-Mechanical Time,
                                        Tunneling Time, Decay Time, Jump Time, Arrival Time, Traversal Time,
                                        Quantum Clock, Zeno Effect, Time-Energy uncertainty relations.
 

        Preface
 
 


Quantum foundations and quantum optics group; Support for Graduate students, postdocs, visitors...


November 2002, from left to right: F. Delgado, I. Egusquiza, J. A. Damborenea, B. Navarro, A. Ruschhaupt, and J. G. Muga

Our group in Bilbao is currently formed by  J. A. Damborenea, F. Delgado, B. Navarro, A. Ruschhaupt, R. de la Madrid,
E. Galapón,  I. L. Egusquiza and myself. 

We are looking for one more graduate student interested in our current research lines (see publication list).
Funding may also be available for postdocs or visitors.
Please contact us for more details.

Last update: June 2004


18-12-02, Christmas party at the Department: From left to right: Fernando Delgado,                     With my Thesis advisor, J. Veguillas (November  2002)
Luis León (Head of Department), J. Gonzalo Muga, José Antonio Damborenea ("Dambo"),
and Beatriz Navarro ("Bea").