# Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians

## Abstract

We discuss systematically several possible inequivalent ways to describe the dynamics and the transition probabilities of a quantum system when its hamiltonian is not self-adjoint. In order to simplify the treatment, we mainly restrict our analysis to finite dimensional Hilbert spaces. In particular, we propose some experiments which could discriminate between the various possibilities considered in the paper. An example taken from the literature is discussed in detail.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22451166

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics

- Additional Journal Information:
- Journal Volume: 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIANS; HILBERT SPACE; PROBABILITY; QUANTUM SYSTEMS

### Citation Formats

```
Bagarello, F., E-mail: fabio.bagarello@unipa.it.
```*Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.02.034.

```
Bagarello, F., E-mail: fabio.bagarello@unipa.it.
```*Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians*. United States. doi:10.1016/J.AOP.2015.02.034.

```
Bagarello, F., E-mail: fabio.bagarello@unipa.it. Fri .
"Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians". United States. doi:10.1016/J.AOP.2015.02.034.
```

```
@article{osti_22451166,
```

title = {Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians},

author = {Bagarello, F., E-mail: fabio.bagarello@unipa.it},

abstractNote = {We discuss systematically several possible inequivalent ways to describe the dynamics and the transition probabilities of a quantum system when its hamiltonian is not self-adjoint. In order to simplify the treatment, we mainly restrict our analysis to finite dimensional Hilbert spaces. In particular, we propose some experiments which could discriminate between the various possibilities considered in the paper. An example taken from the literature is discussed in detail.},

doi = {10.1016/J.AOP.2015.02.034},

journal = {Annals of Physics},

issn = {0003-4916},

number = ,

volume = 356,

place = {United States},

year = {2015},

month = {5}

}

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