Low-complexity approximations with least-squares formulation of the time-dependent Schr{ö}dinger equation
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911157733818368 |
|---|---|
| author | Dupuy, Mi-Song Ehrlacher, Virginie Guillot, Clément |
| author_facet | Dupuy, Mi-Song Ehrlacher, Virginie Guillot, Clément |
| contents | We propose new methods designed to numerically approximate the solution to the time dependent Schr{ö}dinger equation, based on two types of ansatz: tensors, and approximation by a linear combination of gaussian wave packets. In both cases, the method can be seen as a restricted optimization problem, which can be solved by adapting either the Alternating Least Square algorithm in the tensor case, or some greedy algorithm in the gaussian wavepacket case. We also discuss the efficiency of both approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13005 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Low-complexity approximations with least-squares formulation of the time-dependent Schr{ö}dinger equation Dupuy, Mi-Song Ehrlacher, Virginie Guillot, Clément Analysis of PDEs We propose new methods designed to numerically approximate the solution to the time dependent Schr{ö}dinger equation, based on two types of ansatz: tensors, and approximation by a linear combination of gaussian wave packets. In both cases, the method can be seen as a restricted optimization problem, which can be solved by adapting either the Alternating Least Square algorithm in the tensor case, or some greedy algorithm in the gaussian wavepacket case. We also discuss the efficiency of both approaches. |
| title | Low-complexity approximations with least-squares formulation of the time-dependent Schr{ö}dinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.13005 |