Connections between ’t Hooft’s beables and canonical descriptions of dissipative systems
- According to a proposal by 't Hooft, information loss introduced by constraints in certain classical dissipative systems may lead to quantization. This scheme can be realized within the Bateman model of two coupled oscillators, one damped and one accelerated. In this paper we analyze the links of this approach to effective Hamiltonians where the environmental degrees of freedom do not appear explicitly but their effect leads to the same friction force appearing in the Bateman model. In particular, it is shown that by imposing constraints, the Bateman Hamiltonian can be transformed into an effective one expressed in expanding coordinates. This one can be transformed via a canonical transformation into Caldirola and Kanai's effective Hamiltonian that can be linked to the conventional system-plus-reservoir approach, for example, in a form used by Caldeira and Leggett.
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| Author: | Dieter Schuch, Massimo Blasone |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-444805 |
| DOI: | https://doi.org/10.1088/1742-6596/880/1/012050 |
| Parent Title (English): | Journal of Physics: Conference Series |
| Document Type: | Article |
| Language: | English |
| Year of Completion: | 2017 |
| Year of first Publication: | 2017 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Contributing Corporation: | 8th International Workshop DICE2016: Spacetime - Matter - Quantum Mechanics |
| Release Date: | 2017/10/29 |
| Volume: | 880 |
| Issue: | 012050 |
| Note: | Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| HeBIS-PPN: | 451290380 |
| Institutes: | Physik / Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung 3.0 |
