Calculating probabilities without quadrature

DOI10.1007/S10910-012-0020-ZzbMath1314.81073OpenAlexW2002567087MaRDI QIDQ445408

A. Lakhlifi, John P. Killingbeck

Publication date: 24 August 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0020-z

zbMATH Keywords

EigenvaluesExpectation valuesFinite differencesQuantum mechanics

Mathematics Subject Classification ID

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) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (1)

Accurate numerical JWKB calculations for the quartic oscillator

Cites Work

• Unnamed Item
• A perturbation approach to finite difference methods
• Stable forward shooting for eigenvalues and expectation values
• Hypervirial perturbation theory revisited
• Asymptotic form of the penetration probability of the quantum harmonic oscillator into the classically forbidden region
• Classically forbidden behavior of the quantum harmonic oscillator for large quantum numbers
• Quantum tunneling as a classical anomaly

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