Quantum and Classical Exact Solutions of Harmonic Oscillator in a Time-Dependent Magnetic Field

2005 ◽  
Vol 43 (6) ◽  
pp. 1027-1029 ◽  
Author(s):  
Liang Mai-Lin ◽  
Liu Li-Yan
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Time Dependent

EXACT SOLUTIONS OF SCHRODINGER’S EQUATION FOR SPIN SYSTEMS IN A CLASS OF TIME-DEPENDENT MAGNETIC FIELDS

1991 ◽  
Vol 05 (29) ◽  
pp. 1919-1924 ◽  
Author(s):  
M.J. TAHMASEBI ◽  
Y. SOBOUTI
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Exact Solutions ◽  
Spin System ◽  
Schrodinger Equation ◽  
Unitary Transformation ◽  
Variable Magnetic Field ◽  
Spin Systems ◽  
Time Variable ◽  
Time Dependent

A spin system in a time variable magnetic field is considered. For certain fields there exists a frame in which the Hamiltonian becomes static. The criterion for such fields is derived. The unitary transformation that accomplishes this task is obtained and the underlying Schrodinger equation is solved exactly.

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