scholarly journals Supersymmetry of the nonstationary schrödinger equation and time-dependent exactly solvable quantum models

2000 ◽  
Vol 63 (4) ◽  
pp. 657-660 ◽  
Author(s):  
B. F. Samsonov ◽  
L. A. Shekoyan
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Exactly Solvable ◽  
Quantum Models ◽  
Solvable Quantum ◽  
Nonstationary Schrödinger Equation

scholarly journals ON TIME-DEPENDENT QUASI-EXACTLY SOLVABLE PROBLEMS

2000 ◽  
Vol 15 (19) ◽  
pp. 1243-1251 ◽  
Author(s):  
DIETER MAYER ◽  
ALEXANDER USHVERIDZE ◽  
ZBIGNIEW WALCZAK
Keyword(s):  
Dynamical Systems ◽  
Time Dependent ◽  
Exactly Solvable ◽  
Quantum Models ◽  
Close Relationship ◽  
Solvable Quantum ◽  
Solvable Problems ◽  
Special Classes

We show that there exists a close relationship between quasi-exactly solvable quantum models and two special classes of classical dynamical systems.

Introduction

2018 ◽  
Author(s):  
Niels Engholm Henriksen ◽  
Flemming Yssing Hansen
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Degrees Of Freedom ◽  
State Level ◽  
Boltzmann Distribution ◽  
Theoretical Description ◽  
Time Dependent ◽  
Nuclear Dynamics ◽  
Molecular Reaction ◽  
Oppenheimer Approximation

This introductory chapter considers first the relation between molecular reaction dynamics and the major branches of physical chemistry. The concept of elementary chemical reactions at the quantized state-to-state level is discussed. The theoretical description of these reactions based on the time-dependent Schrödinger equation and the Born–Oppenheimer approximation is introduced and the resulting time-dependent Schrödinger equation describing the nuclear dynamics is discussed. The chapter concludes with a brief discussion of matter at thermal equilibrium, focusing at the Boltzmann distribution. Thus, the Boltzmann distribution for vibrational, rotational, and translational degrees of freedom is discussed and illustrated.

Numerical Solution of the Time-Dependent Schrödinger Equation and Application toH+-H

1979 ◽  
Vol 43 (7) ◽  
pp. 512-515 ◽  
Author(s):  
Vida Maruhn-Rezwani ◽  
Norbert Grün ◽  
Werner Scheid
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Schrodinger Equation ◽  
Time Dependent

scholarly journals On form-preserving transformations for the time-dependent Schrödinger equation

1999 ◽  
Vol 40 (7) ◽  
pp. 3268-3274 ◽  
Author(s):  
Federico Finkel ◽  
Artemio González-López ◽  
Niky Kamran ◽  
Miguel A. Rodrı́guez
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Time Dependent
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