The Mehler formula and the Green function of the multi-dimensional isotropic harmonic oscillator

DOI10.1088/0305-4470/9/5/004zbMath0322.35023OpenAlexW2003222231MaRDI QIDQ4084625

E. S. Caetano Neto, J. Bellandi Filho

Publication date: 1976

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/9/5/004

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General theory for ordinary differential equations (34A99) Green's functions for elliptic equations (35J08) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (3)

On the spectrum of the Schrödinger Hamiltonian of the one-dimensional harmonic oscillator perturbed by two identical attractive point interactions ⋮ Spectral analysis of a two body problem with zero-range perturbation ⋮ Singularly perturbed Hamiltonians of a quantum Rayleigh gas defined as quadratic forms

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