Stable coherent states

Zipfel A, Thiemann T (2016)


Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Publisher: AMER PHYSICAL SOC

Book Volume: 93

Journal Issue: 8

DOI: 10.1103/PhysRevD.93.084030

Abstract

We analyze the stability under time evolution of complexitier coherent states (CCS) in one-dimensional mechanical systems. A system of coherent states is called stable if it evolves into another coherent state. It turns out that a system can only possess stable CCS if the classical evolution of thc variable z = e-14(i xc)q pound for a given complexifier C depends only on z itself and not on its complex conjugate. This condition is very restrictive in general so that only a few systems exist that obey this condition. However, it is possible to access a wider class of models that in principle may allow for stable coherent states associated with certain regions in the phase space by introducing action-angle coordinates.

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How to cite

APA:

Zipfel, A., & Thiemann, T. (2016). Stable coherent states. Physical Review D, 93(8). https://doi.org/10.1103/PhysRevD.93.084030

MLA:

Zipfel, Antonia, and Thomas Thiemann. "Stable coherent states." Physical Review D 93.8 (2016).

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