Sain, Ria ; Bhattacharjee, Jayanta K (2015) Equivalent linearization technique for quantum anharmonic oscillators European Journal of Physics, 36 (5). 055025. ISSN 0143-0807
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Official URL: http://doi.org/10.1088/0143-0807/36/5/055025
Related URL: http://dx.doi.org/10.1088/0143-0807/36/5/055025
Abstract
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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Institute of Physics. |
ID Code: | 133834 |
Deposited On: | 30 Dec 2022 09:54 |
Last Modified: | 30 Dec 2022 09:54 |
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