scholarly journals Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function

2014 ◽  
Vol 47 (46) ◽  
pp. 465205 ◽  
Author(s):  
A M Ishkhanyan ◽  
A E Grigoryan
Keyword(s):  
State Problem ◽  
Heun Function ◽  
Confluent Heun Function

scholarly journals Exact Solutions of the Razavy Cosine Type Potential

2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
Shishan Dong ◽  
Qian Dong ◽  
Guo-Hua Sun ◽  
S. Femmam ◽  
Shi-Hai Dong
Keyword(s):  
Exact Solutions ◽  
Quantum System ◽  
Energy Levels ◽  
Wave Functions ◽  
Potential Parameter ◽  
Heun Function ◽  
Type Potential ◽  
Confluent Heun Function

We solve the quantum system with the symmetric Razavy cosine type potential and find that its exact solutions are given by the confluent Heun function. The eigenvalues are calculated numerically. The properties of the wave functions, which depend on the potential parameter a, are illustrated for a given potential parameter ξ. It is shown that the wave functions are shrunk to the origin when the potential parameter a increases. We note that the energy levels ϵi (i∈[1,3]) decrease with the increasing potential parameter a but the energy levels ϵi (i∈[4,7]) first increase and then decrease with the increasing a.

scholarly journals Transition time estimation for δ-function coupling in two state problem: An analytically solvable model

2021 ◽  
Vol 770 ◽  
pp. 138436
Author(s):  
Mayank Vashistha ◽  
Chinmoy Samanta ◽  
Aniruddha Chakraborty
Keyword(s):  
Solvable Model ◽  
Time Estimation ◽  
Transition Time ◽  
State Problem

THE RICH-STATE-POOR-STATE PROBLEM IN A FEDERAL SYSTEM

1982 ◽  
Vol 35 (3) ◽  
pp. 337-363
Author(s):  
ALBERT DAVIS ◽  
ROBERT LUCKE
Keyword(s):  
Federal System ◽  
State Problem ◽  
Poor State ◽  
The Rich

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

Bound-state problem of theNΔandNΔΔsystems

1999 ◽  
Vol 59 (1) ◽  
pp. 46-52 ◽  
Author(s):  
R. D. Mota ◽  
A. Valcarce ◽  
F. Fernández ◽  
H. Garcilazo
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Existence of strictly diabatic basis sets for the two-state problem

2002 ◽  
Vol 89 (4) ◽  
pp. 255-259 ◽  
Author(s):  
Eugene S. Kryachko ◽  
Ant�nio J. C. Varandas
Keyword(s):  
Basis Sets ◽  
State Problem
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