Publication:
Jaynes-cummings model as a case study for the derivation of time-dependent schrödinger equation

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Issued Date

2008

Resource Type

Book Chapter

File Type

application/pdf

DOI

10.1142/9789812836625_0027

Other identifier(s)

2-s2.0-84969654924

Rights Holder(s)

Scopus

Bibliographic Citation

Condensed Matter Theories. Vol 23, (2008), p.269-276

Suggested Citation

Khemmani S., Sa-Yakanit V. Jaynes-cummings model as a case study for the derivation of time-dependent schrödinger equation. Condensed Matter Theories. Vol 23, (2008), p.269-276. doi:10.1142/9789812836625_0027 Retrieved from: https://hdl.handle.net/20.500.14740/4165

Title

Jaynes-cummings model as a case study for the derivation of time-dependent schrödinger equation

Author(s)

Khemmani S.
 Sa-Yakanit V.

Abstract

The derivation of a time-dependent Schrödinger equation (TDSE) from a timeindependent Schrödinger equation (TISE) in the coherent state representation is considered for the special case of a simple coupled atom-field system described by the soluble Jaynes-Cummings model. The derivation shows why, from the outset, a linear combination of energy eigenstates, instead of a single state, must be used in order to obtain a TDSE for general states. Moreover, this study leads to a method of solving a TDSE by simply solving a TISE. © 2009 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

Subject(s)

Coherent-state representations
 Dinger equation
 Energy eigenstates
 Floquet theory
 Linear combinations
 Semiclassical limit
 Time dependent
 Time independents
 Jaynes-Cummings model

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URI

https://hdl.handle.net/20.500.14740/4165

Collections

Scopus: Year 1983-2021

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