Semiclassical trace formulas in terms of phase space path integrals

DOI10.1006/aphy.2001.6115zbMath0980.81018arXivnlin/0005011OpenAlexW2025755402MaRDI QIDQ5938534

Ayumu Sugita

Publication date: 22 July 2001

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0005011

zbMATH Keywords

periodic orbit\(\text{Sp}(2n,R)\)\(2n\) dimensionsMaslov indexvector bundle over the 1-sphere

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items

Path integration over closed loops and Gutzwiller's trace formula ⋮ Trace formula for systems with spin from the coherent state propagator ⋮ Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths

Cites Work

• Chaos in classical and quantum mechanics
• Geometrical properties of Maslov indices in periodic-orbit theory
• Maslov indices in the Gutzwiller trace formula
• Unnamed Item