Multiresolution of the one dimensional free-particle propagator. Part 1: Construction
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916519171063808 |
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| author | Dinvay, Evgueni Zabelina, Yuliya Frediani, Luca |
| author_facet | Dinvay, Evgueni Zabelina, Yuliya Frediani, Luca |
| contents | The free-particle propagator, a key operator in various algorithms for simulating the time evolution of the Schrödinger equation, is studied. A multiscale approximation of this propagator is constructed, representing the semigroup associated with the free-particle Schrödinger operator in a multiwavelet basis. This representation involves integrals of highly oscillatory functions. These integrals are efficiently discretized using a contour deformation technique, which addresses the challenges posed by earlier discretization methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08115 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiresolution of the one dimensional free-particle propagator. Part 1: Construction Dinvay, Evgueni Zabelina, Yuliya Frediani, Luca Computational Physics The free-particle propagator, a key operator in various algorithms for simulating the time evolution of the Schrödinger equation, is studied. A multiscale approximation of this propagator is constructed, representing the semigroup associated with the free-particle Schrödinger operator in a multiwavelet basis. This representation involves integrals of highly oscillatory functions. These integrals are efficiently discretized using a contour deformation technique, which addresses the challenges posed by earlier discretization methods. |
| title | Multiresolution of the one dimensional free-particle propagator. Part 1: Construction |
| topic | Computational Physics |
| url | https://arxiv.org/abs/2405.08115 |