Transfer Matrix Approach for Two-State Scattering Problem with Arbitrary Coupling
Diwaker** , Aniruddha Chakraborty
School of Basic Sciences, Indian Institute of Technology Mandi, Mandi 175005, India
Abstract :The present work deals with the calculation of transition probability between two diabatic potentials coupled by any arbitrary coupling. The method presented in this work is applicable to any type of coupling while for numerical calculations we have assumed the arbitrary coupling as Gaussian coupling. This arbitrary coupling is expressed as a collection of Dirac delta functions and by the use of the transfer matrix technique the transition probability from one diabatic potential to another diabatic potential is calculated. We examine our approach by considering the case of two constant potentials coupled by Gaussian coupling as an arbitrary coupling.
收稿日期: 2015-04-08
出版日期: 2015-07-30
:
03.65.Nk
(Scattering theory)
02.60.Cb
(Numerical simulation; solution of equations)
03.65.Ge
(Solutions of wave equations: bound states)
[1]
. [J]. 中国物理快报, 2023, 40(1): 14301-.
[2]
. [J]. 中国物理快报, 2021, 38(8): 84203-084203.
[3]
. [J]. 中国物理快报, 2021, 38(2): 24202-024202.
[4]
. [J]. 中国物理快报, 2020, 37(4): 40301-.
[5]
. [J]. 中国物理快报, 2019, 36(8): 80302-.
[6]
. [J]. 中国物理快报, 2013, 30(8): 80204-080204.
[7]
. [J]. Chin. Phys. Lett., 2013, 30(1): 10301-010301.
[8]
. [J]. 中国物理快报, 2012, 29(10): 104206-104206.
[9]
TIAN Wei1 , CHEN Bin2** , XU Wei-Dong3 . Controlling Single-Photon Transport along an Optical Waveguide by using a Three-Level Atom [J]. 中国物理快报, 2012, 29(3): 30302-030302.
[10]
Jamieson M. J.**;Ouerdane H.;
. Parameters for Cold Collisions of Lithium and Caesium Atoms [J]. 中国物理快报, 2011, 28(6): 60308-060308.
[11]
WANG Yi;ZHANG Jing-Tao;REN Xiang-He;XU Zhi-Zhan;GUO Dong-Sheng. Photoelectron Angular Distributions of Positronium in Intense Laser Field [J]. 中国物理快报, 2009, 26(12): 123204-123204.
[12]
LIN Sheng-Lu;ZHOU Hui;XU Xue-You;JIA Zheng-Mao;DENG Shan-Hong. Semiclassical Calculations of Autoionization Rate for Lithium Atoms in Parallel Electric and Magnetic Fields [J]. 中国物理快报, 2008, 25(12): 4251-4254.
[13]
Itsuki Banno;Kazumi Fujima. Direct Evaluation of Transition Amplitude Using Determinant of Wave Operator in One-Dimensional Potential Scattering System [J]. 中国物理快报, 2007, 24(11): 3032-3035.
[14]
XU Tian; CAO Zhuang-Qi;OU Yong-Cheng;ZHU Guo-Long. Accurate Bound-State Spectra for Hydrogenic Donors in GaAs--(Ga, Al)As Quantum Dots [J]. 中国物理快报, 2005, 22(11): 2746-2747.
[15]
LIU Yi-Bao;PANG Wen-Ning;DING Hai-Bing;SHANG Ren-Cheng. Analysis of Observable Quantities from Excited Rubidium Impacted by Electrons at Low Incident Energy [J]. 中国物理快报, 2005, 22(6): 1312-1314.