| Autor: |
Bolte, Jens, Egger, Sebastian, Keppeler, Stefan |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
J. Phys. A 50 (2017) 105201 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1088/1751-8121/aa5844 |
| Popis: |
We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian for an inverted harmonic oscillator, producing a difference operator on a finite, periodic lattice. We investigate the continuum and the infinite-volume limit of our model in conjunction with the semiclassical limit. Using semiclassical methods, we show that a specific combination of the limits leads to a logarithmic mean spectral density as it was anticipated by Berry and Keating. |
| Databáze: |
arXiv |
| Externí odkaz: |
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