On Schrödinger-Hermite operators in lattice quantum mechanics

DOI10.1023/A:1007586819925zbMath0933.39046MaRDI QIDQ1300949

Andreas Ruffing

Publication date: 4 April 2000

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

zbMATH Keywords

eigenvaluesspectrum\(q\)-oscillators\(q\)-Heisenberg algebralattice quantum mechanicsSchrödinger-Hermite quantum operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)