More on the quantum harmonic oscillator via unilateral Fourier transform
The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of the algebraic method based on the ladder oper...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2022 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/240324 |
| Online Access: | http://dx.doi.org/10.1590/1806-9126-RBEF-2022-0038 http://hdl.handle.net/11449/240324 |
| Access Level: | Open access |
| Keyword: | Fourier transform Harmonic oscillator Unilateral fourier transform |
| Summary: | The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of the algebraic method based on the ladder operators and depends on the value of just one tabulated definite integral related to the ground state. |
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