Sum rules for quantum billiards
From MaRDI portal
Publication:3743732
DOI10.1088/0305-4470/19/3/004zbMath0605.35068OpenAlexW1971893702MaRDI QIDQ3743732
Jean-Marc Luck, Claude Itzykson, Pierre Moussa
Publication date: 1986
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/19/3/004
eigenvaluesLaplacianDirichlet dataintegral expressionsenergy of the ground statesums of inverse powers
Estimates of eigenvalues in context of PDEs (35P15) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited * ⋮ Exact sum rules for inhomogeneous strings ⋮ Exact sum rules for quantum billiards of arbitrary shape ⋮ Multidimensional extension of a Wentzel–Kramers–Brillouin improvement for spherical quantum billiard zeta functions ⋮ Precise bounds and asymptotics for the first Dirichlet eigenvalue of triangles and rhombi ⋮ Rational billiards and algebraic curves ⋮ Exact sum rules for heterogeneous spherical drums ⋮ Spectral functions of zeros in the Bessel \(q\)-functions ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards