Time decay and spectral kernel asymptotics
DOI10.1063/1.526563zbMath0628.47030OpenAlexW2013437735MaRDI QIDQ5903462
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Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526563
resolvent kernelheat kernelN-body problemhigh energieserror termshigh temperaturesmatrix value coefficient functionstime- evolution kernelUniform higher-order asymptotic expansions
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Miscellaneous applications of functional analysis (46N99)
Cites Work
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- On the absence of positive eigenvalues for one-body Schrödinger operators
- Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
- An asymptotic expansion for the heat equation
- Time evolution kernels: uniform asymptotic expansions
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- Schrödinger spectral kernels: High order asymptotic expansions
- On positive eigenvalues of one‐body schrödinger operators
- The expansion of arbitrary functions in terms of eigenfunctions of the operator -Δ𝑢+𝑐𝑢
- On the asymptotic distribution of the eigenvalues and eigenfunctions of elliptic differential operators
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