Time-dependent Mass Oscillators: Constants of Motion and Semiclasical States

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00556446" target="_blank" >RIV/61389005:_____/22:00556446 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.14311/AP.2022.62.0211" target="_blank" >https://doi.org/10.14311/AP.2022.62.0211</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/AP.2022.62.0211" target="_blank" >10.14311/AP.2022.62.0211</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Time-dependent Mass Oscillators: Constants of Motion and Semiclasical States

Popis výsledku v původním jazyce

This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a spectral problem for each constant of motion, one of which leads to a non-orthogonal set of eigensolutions that are, in turn, coherent states. That is, eigensolutions whose wavepacket follows a classical trajectory and saturate, in this case, the Schrodinger-Robertson uncertainty relationship. Results obtained in this form are relatively general, and some particular examples are considered to illustrate the results further. Notably, a regularized Caldirola-Kanai mass term is introduced in an attempt to amend some of the unusual features found in the conventional Caldirola-Kanai case.

Název v anglickém jazyce

Time-dependent Mass Oscillators: Constants of Motion and Semiclasical States

Popis výsledku anglicky

This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a spectral problem for each constant of motion, one of which leads to a non-orthogonal set of eigensolutions that are, in turn, coherent states. That is, eigensolutions whose wavepacket follows a classical trajectory and saturate, in this case, the Schrodinger-Robertson uncertainty relationship. Results obtained in this form are relatively general, and some particular examples are considered to illustrate the results further. Notably, a regularized Caldirola-Kanai mass term is introduced in an attempt to amend some of the unusual features found in the conventional Caldirola-Kanai case.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

<a href="/cs/project/EF18_053%2F0017163" target="_blank" >EF18_053/0017163: Fyzici v pohybu II</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Acta Polytechnica

ISSN

1210-2709

e-ISSN

1805-2363

Svazek periodika

63

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

11

Strana od-do

211-221

Kód UT WoS článku

000770057400020

EID výsledku v databázi Scopus

2-s2.0-85129202953