Refined asymptotic expansion for the partition function of unbounded quantum billiards

DOI10.1063/1.528713zbMath0705.46042OpenAlexW1991876792MaRDI QIDQ3485469

No author found.

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528713

zbMATH Keywords

asymptotic expansionquantumstrongly chaotic billiard system

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

Applications of periodic‐orbit theory ⋮ Escape orbits for non-compact flat billiards ⋮ Zeta functions and periodic orbit theory: A review ⋮ Novel rule for quantizing chaos

Cites Work

• Classical boundary conditions as a technical tool in modern mathematical physics
• Nonclassical eigenvalue asymptotics
• Some quantum operators with discrete spectrum but classically continuous spectrum
• Trace properties of the Dirichlet Laplacian
• On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian
• On the periodic orbits of a strongly chaotic system
• On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume
• Bounds on Green’s functions of second-order differential equations
• The asymptotic distribution of eigenvalues of the Laplace operator in an unbounded domain
• Can One Hear the Shape of a Drum?

This page was built for publication: Refined asymptotic expansion for the partition function of unbounded quantum billiards