Work

Remark on the Dunne-Ünsal relation in exact semiclassics

Year: 2016

Type: article

Abstract: Recently, it was realized that nonperturbative instanton effects can be generated to all orders by perturbation theory around a degenerate minima via the Dunne-\"Unsal relation in several quantum mechanical systems. In this work we verify the Dunne-\"Unsal relation for resonance energy levels of one-dimensional polynomial anharmonic oscillators. We show that the relation is applicable to cubic and quartic anharmonic oscillators which are genus-one potentials. However for higher order (higher genus) anharmonic potentials the relation is not satisfied and is subject to a certain extension.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.93.065037

Authors: Ilmar Gahramanov, Kemal Tezgin

Institutions: Khazar University, Azerbaijan National Academy of Sciences, Max Planck Institute for Gravitational Physics, Radiasiya Problemləri İnstitutu, University of Connecticut

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2219995555

FWCI: 3.218

Cites: 67

Cited by: 35

Related to: 10