College Physics

Derivation of the energy-level gap of two-dimensional coupled quantum harmonic oscillators by invariant eigen-operator method

Shuai Wang

Published Jan 1, 2009• 0 citations

Abstract

The invariant eigen-operator method is successfully applied to solving energy levels for some quantum systems' Hamiltonian.For two-dimensional coupled quantum harmonic oscillators,the Hamiltonian energy-level gap can be obtained with convenience and directness by this method.Then the Hamiltonian needs not to be diagonalized.The results show that the energy-level gaps are different for different coupled forms of two-dimensional quantum harmonic oscillators.

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