Analytical Lanczos method: Quantum eigenstates of anharmonic oscillators in one or more dimensions

DOI10.1016/0010-4655(94)90186-4zbMath0878.65070OpenAlexW2106706097MaRDI QIDQ1365906

Matjaž Kaluža

Publication date: 14 December 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(94)90186-4

zbMATH Keywords

eigenvalueseigenfunctionsanharmonic oscillatoreigenstatesanalytical Lanczos methodquantum-mechanical Hamiltonians

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Solving the vibrational Schrödinger equation on an arbitrary multidimensional potential energy surface by the finite element method ⋮ Bound states and ``resonances in quantum anharmonic oscillators

Uses Software

• BIRKHOFF
• Unnamed Item

Cites Work

• Unnamed Item
• Towards a black box Lanczos program
• Implementing Lanczos-like algorithms on hypercube architectures
• Program for Birkhoff-Gustavson normal form for \(N\) degrees of freedom -- BIRKHOFF 1.2
• The algebraic quantisation of the Birkhoff-Gustavson normal form
• Improved accuracy of the Birkhoff-Gustavson normal form and its convergence properties
• Failure of the Hill determinant method for the sextic anharmonic oscillator

This page was built for publication: Analytical Lanczos method: Quantum eigenstates of anharmonic oscillators in one or more dimensions