A formal approach to weak and strong coupling expansions and its application to the quantum anharmonic oscillator

DOI10.1016/S0034-4877(05)80090-4zbMath1086.81032OpenAlexW2037272122MaRDI QIDQ817440

Benoît Bellet

Publication date: 16 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(05)80090-4

zbMATH Keywords

variational methodsdivergent seriesquantum anharmonic oscillatorprinciple of minimal sensitivity

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Variational principles of physics (49S05)

Related Items (1)

Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method

Cites Work

• Convergence of scaled delta expansion: Anharmonic oscillator
• Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory

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