Tunnel determinants from spectral zeta functions. Instanton effects in quantum mechanics
Alberto Alonso-Izquierdo, Juan Mateos Guilarte
TL;DR
This paper introduces a spectral zeta function regularization method to compute determinants of instanton fluctuation operators, enhancing understanding of tunneling effects in quantum mechanics.
Contribution
It presents a novel spectral zeta function approach for regularizing instanton fluctuation determinants in semi-classical tunneling analysis.
Findings
Provides a new regularization technique for instanton determinants
Improves semi-classical tunneling calculations
Enhances analytical tools in quantum mechanics
Abstract
In this paper we develop an spectral zeta function regularization procedure on the determinants of instanton fluctuation operators that describe the semi-classical order of tunnel effects bewtween degenerate vacua.
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Taxonomy
TopicsQuantum and electron transport phenomena · Quantum many-body systems · Cold Atom Physics and Bose-Einstein Condensates