Exact Solution of a Time‐Dependent Quantal Harmonic Oscillator with a Singular Perturbation

1971 ◽  
Vol 12 (10) ◽  
pp. 2040-2043 ◽  
Author(s):  
P. Camiz ◽  
A. Gerardi ◽  
C. Marchioro ◽  
E. Presutti ◽  
E. Scacciatelli
Keyword(s):  
Exact Solution ◽  
Singular Perturbation ◽  
Harmonic Oscillator ◽  
Time Dependent

OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION

2002 ◽  
Vol 16 (31) ◽  
pp. 4733-4742 ◽  
Author(s):  
JEONG RYEOL CHOI ◽  
BO HA KWEON
Keyword(s):  
Singular Perturbation ◽  
Harmonic Oscillator ◽  
Operator Method ◽  
Invariant Operator ◽  
Time Dependent ◽  
Quantum Mechanical ◽  
Expectation Values ◽  
Ladder Operators ◽  
Raising Operators ◽  
Quantum Mechanical Solution

We used dynamical invariant operator method to find the quantum mechanical solution of a harmonic plus inverse harmonic oscillator with time-dependent coefficients. The eigenvalue of invariant operator is obtained and is constant with time. We constructed lowering and raising operators from the invariant operator. The solution of Schrödinger equation is obtained using operator method. We have also used ladder operators to obtain various expectation values of the time-dependent system. The results in this manuscript are not only more general than the existing results in the literatures but also well match with others.

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