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A new approximation scheme in quantum mechanics

1997/12/30 by Sang Koo You, Kwang Joe Jeon, Chul Koo Kim +1 · 24 citations
Physics and Astronomy · #Anharmonicity #High frequency approximation #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum dissipation #Quantum, superfluid, helium dynamics #Scheme (mathematics) #Transition of state #quant-ph

paper · pdf · doi:10.1088/0143-0807/19/2/012

published in European Journal of Physics 19(2), 179-186 (IOP Publishing) · 14pages, to be published in Eur. J. Phys

arxiv created 1997/12/30 · openalex publication_date 1998/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An approximation method which combines perturbation theory with variational calculation is constructed for quantum mechanical problems. Using the anharmonic oscillator and the helium atom as examples, we show that the present method provides an efficient scheme in estimating both the ground and the excited states. We also discuss the limitations of the present method.

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