Time-dependent step-like potential with a freezable bound state in the continuum
In this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. The normalizable state also evolves but remains localized at every fixed time u...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2022-02-01
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| Series: | Acta Polytechnica |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/7674 |
| _version_ | 1831795116291915776 |
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| author | Izamar Gutiérrez Altamirano Alonso Contreras-Astorga Alfredo Raya Montaño |
| author_facet | Izamar Gutiérrez Altamirano Alonso Contreras-Astorga Alfredo Raya Montaño |
| author_sort | Izamar Gutiérrez Altamirano |
| collection | DOAJ |
| description | In this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. The normalizable state also evolves but remains localized at every fixed time up to ti. After this time, the probability density of this state freezes becoming a Bound state In the Continuum. Closed expressions for the potential, the freezable bound state in the continuum, and scattering states are given. |
| first_indexed | 2024-12-22T16:04:00Z |
| format | Article |
| id | doaj.art-8450395bde9e4f328a0dcfcf8aec1304 |
| institution | Directory Open Access Journal |
| issn | 1805-2363 |
| language | English |
| last_indexed | 2024-12-22T16:04:00Z |
| publishDate | 2022-02-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-8450395bde9e4f328a0dcfcf8aec13042022-12-21T18:20:39ZengCTU Central LibraryActa Polytechnica1805-23632022-02-01621566210.14311/AP.2022.62.00564914Time-dependent step-like potential with a freezable bound state in the continuumIzamar Gutiérrez Altamirano0Alonso Contreras-Astorga1Alfredo Raya Montaño2Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria. Francisco J. Mújica s/n. Col. Felícitas del Río. 58040 Morelia, Michoacán, MéxicoCONACyT–Physics Department, Cinvestav, P.O. Box. 14-740, 07000 Mexico City, MexicoInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria. Francisco J. Mújica s/n. Col. Felícitas del Río. 58040 Morelia, Michoacán, México; Centro de Ciencias Exactas, Universidad del Bío-Bío, Avda. Andrés Bello 720, Casilla 447, 3800708, Chillán, ChileIn this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. The normalizable state also evolves but remains localized at every fixed time up to ti. After this time, the probability density of this state freezes becoming a Bound state In the Continuum. Closed expressions for the potential, the freezable bound state in the continuum, and scattering states are given.https://ojs.cvut.cz/ojs/index.php/ap/article/view/7674bound states in the continuumsupersymmetric quantum mechanicstime-dependent quantum systems |
| spellingShingle | Izamar Gutiérrez Altamirano Alonso Contreras-Astorga Alfredo Raya Montaño Time-dependent step-like potential with a freezable bound state in the continuum Acta Polytechnica bound states in the continuum supersymmetric quantum mechanics time-dependent quantum systems |
| title | Time-dependent step-like potential with a freezable bound state in the continuum |
| title_full | Time-dependent step-like potential with a freezable bound state in the continuum |
| title_fullStr | Time-dependent step-like potential with a freezable bound state in the continuum |
| title_full_unstemmed | Time-dependent step-like potential with a freezable bound state in the continuum |
| title_short | Time-dependent step-like potential with a freezable bound state in the continuum |
| title_sort | time dependent step like potential with a freezable bound state in the continuum |
| topic | bound states in the continuum supersymmetric quantum mechanics time-dependent quantum systems |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/7674 |
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