Sábháilte in:
| Príomhchruthaitheoir: | |
|---|---|
| Formáid: | Preprint |
| Foilsithe / Cruthaithe: |
2024
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| Ábhair: | |
| Rochtain ar líne: | https://arxiv.org/abs/2404.01881 |
| Clibeanna: |
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Clár na nÁbhar:
- We consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address the possibility of describing them in terms of a time-independent Hilbert space. We show that in general the Hamiltonian operator does not represent an observable of the system even if it is a self-adjoint operator. This is related to a hidden geometric aspect of quantum mechanics arising from the presence of an operator-valued gauge potential. We also offer a careful treatment of quantum systems whose Hilbert space is obtained by endowing a time-independent vector space with a time-dependent inner product.