Equivalent linearization technique for quantum anharmonic oscillators

Autor:	Jayanta K. Bhattacharjee, Ria Sain
Rok vydání:	2015
Předmět:	Physics Classical mechanics Quantum mechanics Quantum dynamics Anharmonicity Equivalent linearization General Physics and Astronomy Particle Simple harmonic motion Wave function Quantum
Zdroj:	European Journal of Physics. 36:055025
ISSN:	1361-6404 0143-0807
DOI:	10.1088/0143-0807/36/5/055025
Popis:	Quantum dynamics means studying the evolution of an initially prescribed wave function. This is analytically tractable for special wavefunctions for the simplest of the situations—free particle and simple harmonic oscillator. The purely anharmonic oscillators are virtually impossible to handle. We show here that the study of Ehrenfest's equation provides an alternative route to studying quantum dynamics. It does not give exact answers but clarifies some basic aspects of quantum dynamics by providing a prescription for constructing equivalent simple harmonic oscillators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fce2fba00d9e22235c1ede5d4bb5ea38 https://doi.org/10.1088/0143-0807/36/5/055025 Zobrazit plný text záznamu