The number of eigenstates: counting function and heat kernel
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Publication:440541
DOI10.1088/1126-6708/2009/02/033zbMath1245.58011arXiv0902.2484OpenAlexW2066581247MaRDI QIDQ440541
Publication date: 18 August 2012
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.2484
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of PDEs on manifolds (58J90) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (16)
Scattering theory without large-distance asymptotics ⋮ Virial coefficients expressed by heat kernel coefficients ⋮ Solving eigenproblem by duality transform ⋮ Probability thermodynamics and probability quantum field ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\) ⋮ An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions ⋮ Calculating eigenvalues of many-body systems from partition functions ⋮ Duality family of scalar field ⋮ Covariant perturbation expansion of off-diagonal heat kernel ⋮ Semiclassical p-branes in hyperbolic space ⋮ Statistical problem of ideal gas in general two-dimensional regions ⋮ Bose–Einstein condensation temperature of finite systems ⋮ A statistical mechanical approach to restricted integer partition functions ⋮ Scalar field in Reissner-Nordström spacetime: bound state and scattering state (with appendix on eliminating oscillation in partial sum approximation of periodic function) ⋮ Scattering state and bound state of scalar field in Schwarzschild spacetime: exact solution
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