Some equivalences between the auxiliary field method and envelope theory

DOI10.1063/1.3087424zbMath1187.81100arXiv0811.0748OpenAlexW3099567855MaRDI QIDQ3650461

Fabien Buisseret, Claude Semay, Bernard Silvestre-Brac

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0811.0748

zbMATH Keywords

quantum theorySchrödinger equationeigenvalues and eigenfunctions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

The auxiliary field method in quantum mechanics ⋮ Potential envelope theory and the local energy theorem ⋮ SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD ⋮ The quantum N-body problem and the auxiliary field method ⋮ Duality relations in the auxiliary field method

Cites Work

• Envelope theory in spectral geometry
• Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
• Extensions of the auxiliary field method to solve Schrödinger equations
• The Yukawa and Hulthen potentials in quantum mechanics
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• Relativistic N-boson systems bound by pair potentials V(rij)=g(rij2)

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