ONE-DIMENSIONAL QUASI-RELATIVISTIC PARTICLE IN THE BOX

DOI10.1142/S0129055X13500141zbMath1278.81068arXiv1110.5887MaRDI QIDQ2855833

Jacek Małecki, Mateusz Kwaśnicki, Kamil Kaleta

Publication date: 22 October 2013

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

Full work available at URL: https://arxiv.org/abs/1110.5887

zbMATH Keywords

eigenfunctionseigenvalues asymptoticsKlein-Gordon square-root operatorquasi-relativistic Hamiltonian

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval, The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach, Ultrarelativistic bound states in the spherical well, Nonlocally induced (fractional) bound states: Shape analysis in the infinite Cauchy well, Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well, Dirichlet heat kernel for unimodal Lévy processes, Boundary traces of shift-invariant diffusions in half-plane, Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators, Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials, Estimates of Dirichlet heat kernel for symmetric Markov processes, The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials

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