Asymptotically minimal uncertainty states for time-dependent oscillators

Predrag Punoševac; Sam L. Robinson

doi:10.1063/1.4773874

Asymptotically minimal uncertainty states for time-dependent oscillators

Predrag Punoševac, Sam L. Robinson

Mathematics

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

Abstract

We consider the time-dependent Schrödinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.

Original language	English (US)
Article number	012106
Journal	Journal of Mathematical Physics
Volume	54
Issue number	1
DOIs	https://doi.org/10.1063/1.4773874
State	Published - Jan 22 2013

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4773874

Cite this

@article{80384f0fa052406a9741e7784c2010ab,

title = "Asymptotically minimal uncertainty states for time-dependent oscillators",

abstract = "We consider the time-dependent Schr{\"o}dinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.",

author = "Predrag Puno{\v s}evac and Robinson, {Sam L.}",

year = "2013",

month = jan,

day = "22",

doi = "10.1063/1.4773874",

language = "English (US)",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

number = "1",

}

TY - JOUR

T1 - Asymptotically minimal uncertainty states for time-dependent oscillators

AU - Punoševac, Predrag

AU - Robinson, Sam L.

PY - 2013/1/22

Y1 - 2013/1/22

N2 - We consider the time-dependent Schrödinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.

AB - We consider the time-dependent Schrödinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.

UR - http://www.scopus.com/inward/record.url?scp=84873419548&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873419548&partnerID=8YFLogxK

U2 - 10.1063/1.4773874

DO - 10.1063/1.4773874

M3 - Article

AN - SCOPUS:84873419548

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 1

M1 - 012106

ER -

Asymptotically minimal uncertainty states for time-dependent oscillators

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this