Stochastic interpretation of quantum mechanics
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911358434410496 |
|---|---|
| author | de Oliveira, Mário J. |
| author_facet | de Oliveira, Mário J. |
| contents | We express the probabilistic character associated to the wave function by treating it as a stochastic variable. This is accomplished by means of a stochastic equation for the wave function whose noise changes the phase of the wave function but not its absolute value, so that the norm of the wave function is strictly conserved along a stochastic trajectory. We show that the density matrix that obeys the quantum Liouville equation is the covariance matrix associated to the stochastic wave function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06418 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic interpretation of quantum mechanics de Oliveira, Mário J. Quantum Physics Statistical Mechanics We express the probabilistic character associated to the wave function by treating it as a stochastic variable. This is accomplished by means of a stochastic equation for the wave function whose noise changes the phase of the wave function but not its absolute value, so that the norm of the wave function is strictly conserved along a stochastic trajectory. We show that the density matrix that obeys the quantum Liouville equation is the covariance matrix associated to the stochastic wave function. |
| title | Stochastic interpretation of quantum mechanics |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2510.06418 |