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Post-Gaussian variational method for quantum anharmonic oscillator

1999/05/28 by Akihiro Ogura, Ogura, Akihiro
Physics and Astronomy · #Advanced Fiber Laser Technologies #Anharmonicity #Excited state #FOS: Physical sciences #Gaussian #Ground state #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Physics #Physics Education (physics.ed-ph) #Quantum #Quantum mechanics #Variational method #Wave function #physics.ed-ph

paper · pdf · doi:10.48550/arxiv.physics/9905056

arxiv created 1999/05/28 · openalex publication_date 1999/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the post-Gaussian trial functions, we calculate the variational solutions to the quantum-mechanical anharmonic oscillator. We evaluate not only the ground state but also some excited energies, and compare them with numerical results.

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