The State-Specific Expansion Approach to the Solution of the Polyelectronic Time-Dependent Schrödinger Equation for Atoms and Molecules in Unstable States

2010 ◽  
pp. 333-405 ◽  
Author(s):  
Theodoros Mercouris ◽  
Yannis Komninos ◽  
Cleanthes A. Nicolaides
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
The State ◽  
Time Dependent ◽  
Atoms And Molecules ◽  
Specific Expansion ◽  
Unstable States

Creating Coherent States in a Mesoscopic Josephson Junction

1998 ◽  
Vol 12 (25n26) ◽  
pp. 1069-1074
Author(s):  
Shao Bin ◽  
Jian Zou ◽  
Qianshu Li
Keyword(s):  
Schrödinger Equation ◽  
Coherent State ◽  
Josephson Junction ◽  
Ground State ◽  
Coherent States ◽  
Schrodinger Equation ◽  
Hamiltonian Operator ◽  
Classical Field ◽  
The State ◽  
Time Dependent

We examine a system of mesoscopic Josephson junction driven by classical field and solve the time-dependent Schrödinger equation of the system with the help of the time-dependent invariant of the Hamiltonian operator. We show that the state of the system can evolve a pure coherent state when the junction is prepared initially in its ground state.

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
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