메뉴 건너뛰기




Volumn 134, Issue 10, 2011, Pages

An approach for generating trajectory-based dynamics which conserves the canonical distribution in the phase space formulation of quantum mechanics. I. Theories

Author keywords

[No Author keywords available]

Indexed keywords

PHASE SPACE METHODS; QUANTUM THEORY; TRAJECTORIES;

EID: 84927691480     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3555273     Document Type: Article
Times cited : (41)

References (64)
  • 2
    • 33745014742 scopus 로고
    • 10.1103/PhysRev.40.749
    • E. Wigner, Phys. Rev. 40, 749 (1932). 10.1103/PhysRev.40.749
    • (1932) Phys. Rev. , vol.40 , pp. 749
    • Wigner, E.1
  • 4
    • 25044456610 scopus 로고
    • 10.1103/PhysRev.131.2766
    • R. J. Glauber, Phys. Rev. 131, 2766 (1963). 10.1103/PhysRev.131.2766
    • (1963) Phys. Rev. , vol.131 , pp. 2766
    • Glauber, R.J.1
  • 8
    • 36749116312 scopus 로고
    • 10.1063/1.433238
    • E. J. Heller, J. Chem. Phys. 65, 1289 (1976). 10.1063/1.433238
    • (1976) J. Chem. Phys. , vol.65 , pp. 1289
    • Heller, E.J.1
  • 9
    • 5544222460 scopus 로고
    • 10.1016/0003-4916(75)90065-2
    • E. A. Remler, Ann. Phys. 95, 455 (1975). 10.1016/0003-4916(75)90065-2
    • (1975) Ann. Phys. , vol.95 , pp. 455
    • Remler, E.A.1
  • 12
    • 4043052988 scopus 로고    scopus 로고
    • The Wigner-function approach to non-equilibrium electron transport
    • DOI 10.1088/0034-4885/67/7/R01, PII S0034488504566332
    • C. Jacoboni and P. Bordone, Rep. Prog. Phys. 67, 1033 (2004). 10.1088/0034-4885/67/7/R01 (Pubitemid 39072560)
    • (2004) Reports on Progress in Physics , vol.67 , Issue.7 , pp. 1033-1071
    • Jacoboni, C.1    Bordone, P.2
  • 13
    • 0034916531 scopus 로고    scopus 로고
    • Wigner-function formulation for quantum transport in semiconductors: Theory and Monte Carlo approach
    • DOI 10.1016/S0378-4754(00)00247-0, PII S0378475400002470
    • C. Jacoboni, A. Bertoni, P. Bordone, and R. Brunetti, Math. Comput. Simulat. 55, 67 (2001). 10.1016/S0378-4754(00)00247-0 (Pubitemid 32672708)
    • (2001) Mathematics and Computers in Simulation , vol.55 , Issue.1-3 , pp. 67-78
    • Jacoboni, C.1    Bertoni, A.2    Bordone, P.3    Brunetti, R.4
  • 16
    • 0001036887 scopus 로고    scopus 로고
    • Semiclassical theory of electronically nonadiabatic dynamics: Results of a linearized approximation to the initial value representation
    • DOI 10.1063/1.477389, PII S0021960698020418
    • X. Sun, H. Wang, and W. H. Miller, J. Chem. Phys. 109, 7064 (1998). 10.1063/1.477389 (Pubitemid 128674371)
    • (1998) Journal of Chemical Physics , vol.109 , Issue.17 , pp. 7064-7074
    • Sun, X.1    Wang, H.2    Miller, W.H.3
  • 17
    • 33845520847 scopus 로고    scopus 로고
    • Using the thermal Gaussian approximation for the Boltzmann operator in semiclassical initial value time correlation functions
    • DOI 10.1063/1.2395941
    • J. Liu and W. H. Miller, J. Chem. Phys. 125, 224104 (2006). 10.1063/1.2395941 (Pubitemid 44927405)
    • (2006) Journal of Chemical Physics , vol.125 , Issue.22 , pp. 224104
    • Liu, J.1    Miller, W.H.2
  • 18
    • 34648837202 scopus 로고    scopus 로고
    • Linearized semiclassical initial value time correlation functions using the thermal Gaussian approximation: Applications to condensed phase systems
    • DOI 10.1063/1.2774990
    • J. Liu and W. H. Miller, J. Chem. Phys. 127, 114506 (2007). 10.1063/1.2774990 (Pubitemid 47462019)
    • (2007) Journal of Chemical Physics , vol.127 , Issue.11 , pp. 114506
    • Liu, J.1    Miller, W.H.2
  • 19
    • 34547349134 scopus 로고    scopus 로고
    • Real time correlation function in a single phase space integral beyond the linearized semiclassical initial value representation
    • DOI 10.1063/1.2743023
    • J. Liu and W. H. Miller, J. Chem. Phys. 126, 234110 (2007). 10.1063/1.2743023 (Pubitemid 47141469)
    • (2007) Journal of Chemical Physics , vol.126 , Issue.23 , pp. 234110
    • Liu, J.1    Miller, W.H.2
  • 20
    • 42149186293 scopus 로고    scopus 로고
    • Test of the consistency of various linearized semiclassical initial value time correlation functions in application to inelastic neutron scattering from liquid para-hydrogen
    • DOI 10.1063/1.2889945
    • J. Liu and W. H. Miller, J. Chem. Phys. 128, 144511 (2008). 10.1063/1.2889945 (Pubitemid 351537181)
    • (2008) Journal of Chemical Physics , vol.128 , Issue.14 , pp. 144511
    • Liu, J.1    Miller, W.H.2
  • 21
    • 52949135487 scopus 로고    scopus 로고
    • 10.1063/1.2981065
    • J. Liu and W. H. Miller, J. Chem. Phys. 129, 124111 (2008). 10.1063/1.2981065
    • (2008) J. Chem. Phys. , vol.129 , pp. 124111
    • Liu, J.1    Miller, W.H.2
  • 22
    • 69249189455 scopus 로고    scopus 로고
    • 10.1063/1.3202438
    • J. Liu and W. H. Miller, J. Chem. Phys. 131, 074113 (2009). 10.1063/1.3202438
    • (2009) J. Chem. Phys. , vol.131 , pp. 074113
    • Liu, J.1    Miller, W.H.2
  • 24
    • 0032398445 scopus 로고    scopus 로고
    • Quantum time correlation functions and classical coherence
    • DOI 10.1016/S0301-0104(98)00027-5
    • R. Hernandez and G. A. Voth, Chem. Phys. 233, 243 (1998). 10.1016/S0301-0104(98)00027-5 (Pubitemid 128111762)
    • (1998) Chemical Physics , vol.233 , Issue.2-3 , pp. 243-255
    • Hernandez, R.1    Voth, G.A.2
  • 25
    • 0242609133 scopus 로고    scopus 로고
    • 10.1021/jp030497
    • Q. Shi and E. Geva, J. Phys. Chem. A 107, 9059 (2003). 10.1021/jp030497
    • (2003) J. Phys. Chem. A , vol.107 , pp. 9059
    • Shi, Q.1    Geva, E.2
  • 27
    • 36849114078 scopus 로고
    • 10.1063/1.1674535
    • W. H. Miller, J. Chem. Phys. 53, 3578 (1970). 10.1063/1.1674535
    • (1970) J. Chem. Phys. , vol.53 , pp. 3578
    • Miller, W.H.1
  • 28
    • 0002911251 scopus 로고
    • 10.1002/9780470143773.ch2
    • W. H. Miller, Adv. Chem. Phys. 25, 69 (1974). 10.1002/9780470143773.ch2
    • (1974) Adv. Chem. Phys. , vol.25 , pp. 69
    • Miller, W.H.1
  • 29
    • 0002368873 scopus 로고
    • 10.1002/9780470143827.ch3
    • W. H. Miller, Adv. Chem. Phys. 30, 77 (1975). 10.1002/9780470143827.ch3
    • (1975) Adv. Chem. Phys. , vol.30 , pp. 77
    • Miller, W.H.1
  • 30
  • 31
  • 35
    • 33244476506 scopus 로고    scopus 로고
    • 10.1016/j.chemphys.2005.08.010
    • J. Liu and N. Makri, Chem. Phys. 322, 23 (2006). 10.1016/j.chemphys.2005. 08.010
    • (2006) Chem. Phys. , vol.322 , pp. 23
    • Liu, J.1    Makri, N.2
  • 36
    • 33645780617 scopus 로고    scopus 로고
    • 10.1080/00268970500525754
    • J. Liu, A. Nakayama, and N. Makri, Mol. Phys. 104, 1267 (2006). 10.1080/00268970500525754
    • (2006) Mol. Phys. , vol.104 , pp. 1267
    • Liu, J.1    Nakayama, A.2    Makri, N.3
  • 38
    • 0141582037 scopus 로고
    • 10.1063/1.1931206
    • L. Cohen, J. Math. Phys. 7, 781 (1966). 10.1063/1.1931206
    • (1966) J. Math. Phys. , vol.7 , pp. 781
    • Cohen, L.1
  • 40
    • 4243870641 scopus 로고
    • 10.1016/0370-1573(95)00007-4
    • H. W. Lee, Phys. Rep. 259, 147 (1995). 10.1016/0370-1573(95)00007-4
    • (1995) Phys. Rep. , vol.259 , pp. 147
    • Lee, H.W.1
  • 41
    • 0001217229 scopus 로고
    • 10.1103/PhysRevLett.10.277
    • E. C. G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963). 10.1103/PhysRevLett. 10.277
    • (1963) Phys. Rev. Lett. , vol.10 , pp. 277
    • Sudarshan, E.C.G.1
  • 42
    • 0002184103 scopus 로고
    • 10.1103/PhysRev.44.31
    • J. G. Kirkwood, Phys. Rev. 44, 31 (1933). 10.1103/PhysRev.44.31
    • (1933) Phys. Rev. , vol.44 , pp. 31
    • Kirkwood, J.G.1
  • 44
    • 7044241645 scopus 로고
    • 10.1063/1.1704163
    • C. L. Mehta, J. Math. Phys. 5, 677 (1964). 10.1063/1.1704163
    • (1964) J. Math. Phys. , vol.5 , pp. 677
    • Mehta, C.L.1
  • 45
    • 36149008151 scopus 로고
    • 10.1103/PhysRev.83.862
    • D. C. Rivier, Phys. Rev. 83, 862 (1951). 10.1103/PhysRev.83.862
    • (1951) Phys. Rev. , vol.83 , pp. 862
    • Rivier, D.C.1
  • 47
    • 0042926489 scopus 로고
    • 10.1007/BF01328531
    • M. Born and P. Jordan, Z. Phys. 34, 858 (1925). 10.1007/BF01328531
    • (1925) Z. Phys. , vol.34 , pp. 858
    • Born, M.1    Jordan, P.2
  • 50
  • 51
  • 52
  • 56
  • 57
  • 60
    • 39249084045 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.87.223202
    • A. Donoso and C. C. Martens, Phys. Rev. Lett. 87, 223202 (2001). 10.1103/PhysRevLett.87.223202
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 223202
    • Donoso, A.1    Martens, C.C.2
  • 63
    • 0242440832 scopus 로고    scopus 로고
    • 10.1021/jp0304982
    • Q. Shi and E. Geva, J. Phys. Chem. A 107, 9070 (2003). 10.1021/jp0304982
    • (2003) J. Phys. Chem. A , vol.107 , pp. 9070
    • Shi, Q.1    Geva, E.2
  • 64
    • 11444260685 scopus 로고    scopus 로고
    • Quantum diffusion in liquid para-hydrogen: An application of the Feynman-Kleinert linearized path integral approximation
    • DOI 10.1021/jp040425y
    • J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Phys. Chem. B 108, 19799 (2004). 10.1021/jp040425y (Pubitemid 40079477)
    • (2004) Journal of Physical Chemistry B , vol.108 , Issue.51 , pp. 19799-19808
    • Poulsen, J.A.1    Nyman, G.2    Rossky, P.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.