Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917278560288768 |
|---|---|
| author | Bishop, Michael Hooker, Daniel Singleton, Doug |
| author_facet | Bishop, Michael Hooker, Daniel Singleton, Doug |
| contents | Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying the inner product. This preserves the standard momentum space allowing the eigenstates and maximally localized states of the modified position operator to have a standard position representation. We compare both approaches and highlight their merits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models Bishop, Michael Hooker, Daniel Singleton, Doug Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying the inner product. This preserves the standard momentum space allowing the eigenstates and maximally localized states of the modified position operator to have a standard position representation. We compare both approaches and highlight their merits. |
| title | Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.20466 |