| Revista: | Revista mexicana de física |
| Base de datos: | |
| Número de sistema: | 000592444 |
| ISSN: | 0035-001X |
| Autores: | Zerimeche, R.1 Moufok, R.1 Amaouche, N.1 Maamache, M.1 |
| Instituciones: | 1Ferhat Abbas Sétif, Faculté des Sciences, Argelia 2University of Jijel, Department of Physics, Jijel. Argelia |
| Año: | 2023 |
| Periodo: | Ene-Feb |
| Volumen: | 69 |
| Número: | 1 |
| País: | México |
| Idioma: | Inglés |
| Resumen en inglés | It is known that the standard and the inverted harmonic oscillator are different. Replacing thus ω by ± i ω in the regular oscillator is necessary going to give the inverted oscillator H r. This replacement would lead to anti- 𝒫𝒯-symmetric harmonic oscillator Hamiltonian ∓ i H o s. The pseudo-hermiticity relation has been used here to relate the anti- 𝒫𝒯-symmetric harmonic Hamiltonian to the inverted oscillator. By using a simple algebra, we introduce the ladder operators describing the inverted harmonic oscillator to reproduce the analytical solutions.We construct the inverted coherent states which minimize the quantum mechanical uncertainty between the position and the momentum. |
| Keyword: | Inverted harmonic oscillator, Harmonic Hamiltonian |
| Texto completo: | Texto completo (Ver PDF) Texto completo (Ver HTML) |
