Exact WKB analysis of non-adiabatic transition probabilities for three levels

被引：18
|
作者：
Aoki, T [1 ]
Kawai, T
Takei, Y
机构：
[1] Kinki Univ, Sch Sci & Technol, Dept Math & Phys, Higashiosaka, Osaka 5778502, Japan
[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 10期
关键词：
D O I：
10.1088/0305-4470/35/10/306
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Schrodinger equation idpsi/dt = etaHpsi with a large parameter eta and an appropriate 3 x 3 matrix H is studied by the exact WKB method, i.e. WKB analysis based on the Borel resummation. Transition probabilities of solutions of the equation are explicitly calculated with the help of the connection formula for WKB solutions. Since a 3 x 3 system is considered, addition of new Stokes curves is necessary to obtain the correct connection formula (Berk-Nevins-Roberts' observation), and we present a practically useful procedure for finding required new Stokes curves.
引用
收藏
页码：2401 / 2430
页数：30
相关论文
共 50 条
  • [31] The critical role of the transition-state cusp diameter in understanding adiabatic and non-adiabatic electron transfer
    Reimers, Jeffrey R.
    Hush, Noel S.
    RUSSIAN JOURNAL OF ELECTROCHEMISTRY, 2017, 53 (09) : 1042 - 1053
  • [32] The critical role of the transition-state cusp diameter in understanding adiabatic and non-adiabatic electron transfer
    Jeffrey R. Reimers
    Noel S. Hush
    Russian Journal of Electrochemistry, 2017, 53 : 1042 - 1053
  • [33] Analysis of magnetically immersed electron guns with non-adiabatic fields
    Pikin, Alexander
    Alessi, James G.
    Beebe, Edward N.
    Raparia, Deepak
    Ritter, John
    REVIEW OF SCIENTIFIC INSTRUMENTS, 2016, 87 (11):
  • [34] Non-adiabatic and adiabatic transitions at level crossing with decay: two- and three-level systems
    Kenmoe, M. B.
    Tchouobiap, S. E. Mkam
    Sadem, C. Kenfack
    Tchapda, A. B.
    Fai, L. C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (09) : 1DUMYY
  • [35] The non-adiabatic sub-geometric phase and its application on quantum transition
    Zheng-Chuan Wang
    The European Physical Journal D, 2025, 79 (4)
  • [36] Non-adiabatic bending dissociation of OCS: the effect of bending excitation on the transition probability
    Katayanagi, H
    Suzuki, T
    CHEMICAL PHYSICS LETTERS, 2002, 360 (1-2) : 104 - 110
  • [37] A MODEL FOR REACTIVE NON-ADIABATIC TRANSITIONS - COMPARISON BETWEEN EXACT NUMERICAL AND APPROXIMATE ANALYTICAL RESULTS
    CHILD, MS
    BAER, M
    JOURNAL OF CHEMICAL PHYSICS, 1981, 74 (05): : 2832 - 2838
  • [38] Inchworm Monte Carlo for exact non-adiabatic dynamics. I. Theory and algorithms
    Chen, Hsing-Ta
    Cohen, Guy
    Reichman, David R.
    JOURNAL OF CHEMICAL PHYSICS, 2017, 146 (05):
  • [39] Performance Analysis of Channels in Adiabatic and Non-Adiabatic Spiral Plate Heat Exchangers: A Thermodynamic Study
    Shirazi, Amir Hossein Sabouri
    Ghodrat, Maryam
    Rastan, Mohammad Reza
    Salehi, Fatemeh
    JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS, 2022, 14 (08)
  • [40] Adiabatic energies and perturbative non-adiabatic corrections for Coulombic three-particle systems in the hyperspherical harmonics formalism
    Spirko, V
    Soldán, P
    Kraemer, WP
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1999, 32 (02) : 429 - 441
12345