Record number :
1585548
Title of article :
Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation
Author/Authors :
Choi، نويسنده , , Jeong-Ryeol، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
9
From page :
321
To page :
329
Abstract :
Exact solution of the Schrödinger equation is derived for underdamped, critically damped, and overdamped harmonic oscillators with a driving force. A unitary operator transforming Hamiltonian into a simple form is introduced. The transformed Hamiltonian, represented in terms of a modified frequency ω, is identical with the Hamiltonian of the standard harmonic oscillator for the underdamped oscillator, with the Hamiltonian of a free particle for the critically damped oscillator, and with the Hamiltonian of a system with a harmonic parabolic potential for the overdamped oscillator. The eigenvalues of underdamped oscillator are discrete while those of the critically damped and the overdamped oscillators are continuous.
Keywords :
Unitary transformation , Wave function , critically damped and overdamped harmonic oscillators
Journal title :
Reports on Mathematical Physics
Journal title :
Reports on Mathematical Physics
Serial Year :
2003
Link To Document :
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