Numerical methods for studying anharmonic oscillator approximations to the \(\varphi^4_2\) quantum field theory

DOI10.1016/0020-7225(80)90055-5zbMath0445.65099OpenAlexW2093757489MaRDI QIDQ1145487

S. H. Smith

Publication date: 1980

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90055-5

zbMATH Keywords

rate of convergenceSchrödinger operatorsanharmonic oscillator approximationlow eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Quantum field theory; related classical field theories (81T99) Software, source code, etc. for problems pertaining to quantum theory (81-04) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

Critical behavior of the two-state doubling algorithm

Cites Work

• Singular perturbations and asymptotic eigenvalue degeneracy
• A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Quantum Field Theory without Cutoffs. I

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