The variational method applied to the harmonic oscillator in the presence of a delta function potential

DOI10.1088/1361-6404/abf8c9zbMath1527.81113arXiv2012.00559OpenAlexW3154813343MaRDI QIDQ6108039

Unnamed Author, Parongama Sen

Publication date: 29 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00559

zbMATH Keywords

boundary conditionsspecial functionsbound statesground state energytrial wavefunction

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Atomic physics (81V45) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Representation and superposition of functions (26B40) Finite-type conditions for the boundary of a domain (32F18)

Cites Work

• Unnamed Item
• The Dirac oscillator in the presence of a chain of delta-function potentials
• Bound States Energies of a Harmonic Oscillator Perturbed by Point Interactions
• The Hamiltonian of the harmonic oscillator with an attractive $\delta ^{\prime} $-interaction centred at the origin as approximated by the one with a triple of attractive $\delta $-interactions
• Solution of the quantum harmonic oscillator plus a delta-function potential at the origin: the oddness of its even-parity solutions
• Harmonic oscillator with a δ-function potential

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