Quantum Invariants for Solving the Time-Dependent Schrödinger Equation in One Dimension

Bozang Li; Sh I.En Wang; Lingyun Zhang; Xiangdong Zhang

doi:10.1088/0253-6102/31/3/379

Quantum Invariants for Solving the Time-Dependent Schrödinger Equation in One Dimension

Bozang Li^*, Sh I.En Wang, Lingyun Zhang, Xiangdong Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Extending the work of Lewis and Leach on classical invariants for solving the classical equation of motion in one-dimensional system, the quantum invariants in polynomial form of momentum are obtained. The involved Hamiltonian is time-dependent and quadratic in momentum.

Original language	English
Pages (from-to)	379-382
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	31
Issue number	3
DOIs	https://doi.org/10.1088/0253-6102/31/3/379
Publication status	Published - 30 Apr 1999
Externally published	Yes

Keywords

One dimension
Quantum invariant
Scnrödinger equation

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10.1088/0253-6102/31/3/379

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title = "Quantum Invariants for Solving the Time-Dependent Schr{\"o}dinger Equation in One Dimension",

abstract = "Extending the work of Lewis and Leach on classical invariants for solving the classical equation of motion in one-dimensional system, the quantum invariants in polynomial form of momentum are obtained. The involved Hamiltonian is time-dependent and quadratic in momentum.",

keywords = "One dimension, Quantum invariant, Scnr{\"o}dinger equation",

author = "Bozang Li and Wang, {Sh I.En} and Lingyun Zhang and Xiangdong Zhang",

year = "1999",

month = apr,

day = "30",

doi = "10.1088/0253-6102/31/3/379",

language = "English",

volume = "31",

pages = "379--382",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

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TY - JOUR

T1 - Quantum Invariants for Solving the Time-Dependent Schrödinger Equation in One Dimension

AU - Li, Bozang

AU - Wang, Sh I.En

AU - Zhang, Lingyun

AU - Zhang, Xiangdong

PY - 1999/4/30

Y1 - 1999/4/30

N2 - Extending the work of Lewis and Leach on classical invariants for solving the classical equation of motion in one-dimensional system, the quantum invariants in polynomial form of momentum are obtained. The involved Hamiltonian is time-dependent and quadratic in momentum.

AB - Extending the work of Lewis and Leach on classical invariants for solving the classical equation of motion in one-dimensional system, the quantum invariants in polynomial form of momentum are obtained. The involved Hamiltonian is time-dependent and quadratic in momentum.

KW - One dimension

KW - Quantum invariant

KW - Scnrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=0033411094&partnerID=8YFLogxK

U2 - 10.1088/0253-6102/31/3/379

DO - 10.1088/0253-6102/31/3/379

M3 - Article

AN - SCOPUS:0033411094

SN - 0253-6102

VL - 31

SP - 379

EP - 382

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 3

ER -

Quantum Invariants for Solving the Time-Dependent Schrödinger Equation in One Dimension

Abstract

Keywords

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