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Deriving the energy-level gap of coupled two atoms molecule by invariant eigen-operator method

Yijun Yang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The energy-level gaps for coordinate coupled and momentum coupled two atoms molecule are presented by using invariant eigen-operator method within Heisenberg equation.The results obtained by this bandy method are in good agreement with the date calculated by Schrdinger equation.This method could train and improve the ability of students in solving complicated physics problems with quantum mechanics.

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The energy-level gaps for coordinate coupled and momentum coupled two atoms molecule are presented by using invariant eigen-operator method within Heisenberg equation.The results obtained by this bandy method are in good agreement with the date calculated by Schrdinger equation.This method could train and improve the ability of students in solving complicated physics problems with quantum mechanics.
For coupled oscillators and RLC quantization circuit whose Hamiltonian have been given by H =p 22m+γ(q p +p q )+12mω2q 2 and H =p 22L+R2L(q p +p q )+12Cq 2,respectively,a method of eliminating the coupled item for unitary operators are presented.The energy eigen values of coupling oscillators and RLC quantization circuit obtained by this bandy method are in good agreement with the date calculated by Schrdinger equation.This method could train and improve the ability of students in solving complicated physics problems with quantum mechanics.