Time-dependent harmonic oscillators and SUSY in time domain

Sergio A. Hojman; Héctor M. Moya-Cessa; Francisco Soto-Eguibar; Felipe A. Asenjo

doi:10.1088/1402-4896/ac267d

Time-dependent harmonic oscillators and SUSY in time domain

Sergio A. Hojman, Héctor M. Moya-Cessa, Francisco Soto-Eguibar, Felipe A. Asenjo

Faculty of Liberal Arts

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

Abstract

We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented.

Original language	English
Article number	125218
Journal	Physica Scripta
Volume	96
Issue number	12
DOIs	https://doi.org/10.1088/1402-4896/ac267d
State	Published - Dec 2021

Keywords

Bohm potential
Ermakov-lewis invariant
time dependent harmonic oscillator
time domain super-symmetry

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10.1088/1402-4896/ac267d

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title = "Time-dependent harmonic oscillators and SUSY in time domain",

abstract = "We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented.",

keywords = "Bohm potential, Ermakov-lewis invariant, time dependent harmonic oscillator, time domain super-symmetry",

author = "Hojman, {Sergio A.} and Moya-Cessa, {H{\'e}ctor M.} and Francisco Soto-Eguibar and Asenjo, {Felipe A.}",

note = "Publisher Copyright: {\textcopyright} 2021 IOP Publishing Ltd.",

year = "2021",

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doi = "10.1088/1402-4896/ac267d",

language = "English",

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T1 - Time-dependent harmonic oscillators and SUSY in time domain

AU - Hojman, Sergio A.

AU - Moya-Cessa, Héctor M.

AU - Soto-Eguibar, Francisco

AU - Asenjo, Felipe A.

PY - 2021/12

Y1 - 2021/12

N2 - We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented.

AB - We show that the time-dependent harmonic oscillator has a repulsive or inverted oscillator as a time domain SUSY-like partner. Examples of several kinds of super-symmetrical time dependent frequency systems are presented.

KW - Bohm potential

KW - Ermakov-lewis invariant

KW - time dependent harmonic oscillator

KW - time domain super-symmetry

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U2 - 10.1088/1402-4896/ac267d

DO - 10.1088/1402-4896/ac267d

M3 - Article

AN - SCOPUS:85116370732

SN - 0031-8949

VL - 96

JO - Physica Scripta

JF - Physica Scripta

IS - 12

M1 - 125218

ER -

Time-dependent harmonic oscillators and SUSY in time domain

Abstract

Keywords

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