TIME-DEPENDENTQUANTUMMETHODS FORLARGESYSTEMS
10.1146/annurev.physchem.50.1.167
Crossref journal-article
Annual Reviews
Annual Review of Physical Chemistry (22)
Abstract

▪ Abstract  This review focuses on time-dependent methods suitable for simulating the quantum dynamics of processes in large clusters and condensed-phase environments. A number of mean field, quantum-classical, and quantum statistical approximations that avoid the conventional exponential scaling with the number of degrees of freedom are reviewed. In addition, rigorous semiclassical and path integral approaches are described that are feasible in certain physical situations. Select chemical applications illustrating the capabilities of these methods are discussed.

Bibliography

Makri, N. (1999). TIME-DEPENDENTQUANTUMMETHODS FORLARGESYSTEMS. Annual Review of Physical Chemistry, 50(1), 167–191.

Authors 1
  1. Nancy Makri (first)
References 130 Referenced 194
  1. {'key': 'b1', 'author': 'Dirac PA', 'year': '1930', 'journal-title': 'Proc. Cambridge Philos. Soc.'} / Proc. Cambridge Philos. Soc. by Dirac PA (1930)
  2. 10.1080/00268976400100041
  3. 10.1063/1.431911
  4. 10.1063/1.439292
  5. 10.1063/1.444225
  6. 10.1002/9780470141199.ch4
  7. 10.1080/01442359409353298
  8. 10.1063/1.476019
  9. 10.1063/1.469339
  10. 10.1063/1.1750107
  11. 10.1063/1.468939
  12. 10.1063/1.471678
  13. 10.1016/0009-2614(83)80302-9
  14. 10.1063/1.458965
  15. 10.1063/1.467707
  16. 10.1063/1.477094
  17. 10.1063/1.453501
  18. 10.1016/0009-2614(90)85644-R
  19. 10.1016/0009-2614(90)87014-I
  20. 10.1063/1.463007
  21. 10.1063/1.463332
  22. 10.1063/1.472327
  23. 10.1063/1.458664
  24. 10.1063/1.465496
  25. 10.1063/1.454210
  26. 10.1063/1.450239
  27. 10.1063/1.460557
  28. 10.1103/PhysRev.122.499
  29. 10.1002/9780470143773.ch2
  30. 10.1063/1.454028
  31. 10.1063/1.463878
  32. 10.1063/1.463550
  33. 10.1007/BF01329203
  34. 10.1063/1.469778
  35. 10.1063/1.476447
  36. Blake NP, Metiu H. 1995. InFemtosecond Chemistry, ed. I. Manz, L. Wöste, 2:533–62. Weinheim: VCH
  37. 10.1063/1.466780
  38. 10.1063/1.474273
  39. 10.1063/1.474998
  40. 10.1016/0009-2614(75)80014-5
  41. 10.1016/0301-0104(75)80074-7
  42. 10.1063/1.437910
  43. 10.1063/1.459170
  44. 10.1063/1.1675788
  45. {'key': 'b45', 'first-page': '46', 'volume': '2', 'author': 'Landau LD', 'year': '1932', 'journal-title': 'Phys. Z. Sowjetunion'} / Phys. Z. Sowjetunion by Landau LD (1932)
  46. 10.1098/rspa.1932.0165
  47. {'key': 'b47', 'first-page': '369', 'volume': '5', 'author': 'Stueckelberg E', 'year': '1932', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta by Stueckelberg E (1932)
  48. 10.1063/1.462449
  49. 10.1063/1.467455
  50. 10.1063/1.472093
  51. 10.1063/1.474397
  52. 10.1103/PhysRev.181.166
  53. 10.1063/1.469428
  54. 10.1016/0010-4655(91)90272-M
  55. 10.1103/PhysRevLett.66.3172
  56. 10.1016/0009-2614(89)87628-6
  57. 10.1063/1.474382
  58. 10.1063/1.430620
  59. 10.1063/1.442382
  60. 10.1063/1.443342
  61. 10.1063/1.456759
  62. 10.1016/0009-2614(75)85284-5
  63. 10.1103/PhysRevB.51.16761
  64. 10.1021/jp970842t
  65. 10.1021/jp953105a
  66. 10.1063/1.476142
  67. 10.1016/S0009-2614(97)00369-2
  68. 10.1039/a801310a
  69. 10.1073/pnas.14.2.178
  70. 10.1002/9780470143827.ch3
  71. 10.1093/oso/9780198556541.001.0001 / Semiclassical Mechanics with Molecular Applications. by Child MS (1991)
  72. 10.1103/PhysRevLett.69.402
  73. 10.1063/1.1674535
  74. 10.1016/0301-0104(84)80039-7
  75. 10.1063/1.459848
  76. 10.1063/1.475612
  77. 10.1063/1.472959
  78. 10.1080/00268979650027289
  79. 10.1002/9780470141557.ch4
  80. 10.1016/S0550-3213(86)80034-7
  81. 10.1016/0009-2614(87)80142-2
  82. 10.1063/1.473532
  83. 10.1063/1.473171
  84. 10.1063/1.475665
  85. 10.1063/1.477389
  86. 10.1063/1.477025
  87. 10.1016/S0009-2614(98)00590-9
  88. 10.1063/1.478011
  89. 10.1103/PhysRevE.59.R4729
  90. 10.1039/a805196h
  91. 10.1103/RevModPhys.20.367
  92. {'key': 'b92', 'volume-title': 'Quantum Mechanics and Path Integrals.', 'author': 'Feynman RP', 'year': '1965'} / Quantum Mechanics and Path Integrals. by Feynman RP (1965)
  93. 10.1002/9780470141274.ch2
  94. 10.1016/0010-4655(91)90265-M
  95. 10.1063/1.531046
  96. 10.1063/1.455061
  97. 10.1016/0009-2614(88)87380-9
  98. 10.1103/PhysRevA.41.5709
  99. Makri N. Manuscript in preparation
  100. 10.1142/S0217984995000632
  101. 10.1063/1.447913
  102. 10.1016/0010-4655(91)90266-N
  103. 10.1063/1.449861
  104. Skilling J. 1989. InMaximum Entropy and Bayesian Methods, ed. J Skilling, Dortrecht, Netherlands: Kluwer (10.1007/978-94-015-7860-8)
  105. 10.1016/0370-1573(95)00074-7
  106. 10.1063/1.467892
  107. 10.1063/1.472508
  108. 10.1063/1.457242
  109. 10.1002/9780470141526.ch4
  110. 10.1103/PhysRevLett.58.563
  111. 10.1088/0022-3719/20/24/005
  112. {'key': 'b112', 'volume-title': 'Statistical Mechanics.', 'author': 'Feynman RP', 'year': '1972'} / Statistical Mechanics. by Feynman RP (1972)
  113. 10.1063/1.468244
  114. 10.1021/j100334a007
  115. 10.1063/1.468503
  116. 10.1063/1.467176
  117. 10.1063/1.470962
  118. 10.1016/0003-4916(63)90068-X
  119. 10.1002/anie.199311113
  120. {'key': 'b120', 'author': 'Makri N', 'year': '1999', 'journal-title': 'J. Phys. Chem.'} / J. Phys. Chem. by Makri N (1999)
  121. 10.1103/RevModPhys.59.1
  122. 10.1016/0009-2614(92)85654-S
  123. 10.1021/j100112a050
  124. {'key': 'b124', 'volume-title': 'Statistical Physics.', 'author': 'Kubo R', 'year': '1991'} / Statistical Physics. by Kubo R (1991)
  125. 10.1002/9780470141526.ch2
  126. 10.1063/1.469508
  127. 10.1063/1.469509
  128. 10.1016/S0010-4655(96)00130-0
  129. 10.1063/1.478130
  130. 10.1021/jp970707g
Dates
Type When
Created 23 years, 1 month ago (July 27, 2002, 7:40 a.m.)
Deposited 1 year, 7 months ago (Jan. 5, 2024, 11:42 p.m.)
Indexed 1 year, 2 months ago (June 25, 2024, 4:37 a.m.)
Issued 25 years, 10 months ago (Oct. 1, 1999)
Published 25 years, 10 months ago (Oct. 1, 1999)
Published Print 25 years, 10 months ago (Oct. 1, 1999)
Funders 0

None

@article{Makri_1999, title={T<scp>IME</scp>-D<scp>EPENDENT</scp>Q<scp>UANTUM</scp>M<scp>ETHODS FOR</scp>L<scp>ARGE</scp>S<scp>YSTEMS</scp>}, volume={50}, ISSN={1545-1593}, url={http://dx.doi.org/10.1146/annurev.physchem.50.1.167}, DOI={10.1146/annurev.physchem.50.1.167}, number={1}, journal={Annual Review of Physical Chemistry}, publisher={Annual Reviews}, author={Makri, Nancy}, year={1999}, month=oct, pages={167–191} }