Semiclassical analysis of a quasi-exactly solvable system: second harmonic generation

DOI10.1088/0305-4470/28/20/011zbMath0880.34085OpenAlexW2018352968MaRDI QIDQ4345688

Ramon F. Alvarez-Estrada, Gabriel Álvarez

Publication date: 2 February 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/28/20/011

zbMATH Keywords

eigenvaluesasymptotic expansionsone-dimensional Schrödinger operatorJeffreys-Wentzel-Kramers-Brillouin analysissecond harmonic generation effective Hamiltoniansextic polynomial potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Exactly solvable models; Bethe ansatz (82B23) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Classical and quantum duality of quasi-exactly solvable problems ⋮ Second harmonic Hamiltonian: algebraic and Schrödinger approaches

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