A concise quantum mechanical treatment of the forced damped harmonic oscillator

• Autorzy: Ti Li
• Języki publikacji: EN

Abstrakty

EN

By selecting a right generalized coordinate X, which contains the general solutions of the classical motion equation of a forced damped harmonic oscillator, we obtain a simple Hamiltonian which does not contain time for the oscillator such that Schrödinger equation and its solutions can be directly written out in X representation. The wave functin in x representation are also given with the help of the eigenfunctions of the operator $$ \hat X $$ in x representation. The evolution of $$ \left\langle {\hat x} \right\rangle $$ is the same as in the classical mechanics, and the uncertainty in position is independent of an external influence; one part of energy mean is quantized and attenuated, and the other is equal to the classical energy.

Słowa kluczowe

EN

wave function; forced damped oscillator; generalized coordinate; eigenfunction of generalized coordinate operator; representation

• Czasopismo: Open Physics
• Rocznik: 2008
• Tom: 6
• Numer: 4
• Strony: 891-894

Daty

wydano

2008-12-01

online

2008-09-27

Twórcy

autor

Ti Li

• Department of Physics, Heze University, Shandong, 274015, PR China,

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-008-0105-2