نوسانگر كوانتومي ناهمسانگرد در دو بعد فضايي ناجابجا و يك بعد زماني

Noncommutative Tow Dimensional Anisotropic Quantum Oscillator

In this research A two-dimensional anisotropic quantum oscillator is considered . By replacing the noncommutative variables in terms of the commutative variables , the corresponding Hamiltonian in terms of the commutative variables is obtained . The eigen value problem for this operator can be solved. It reveals obviously that the solution of the noncommutative quantum oscillator is the modified form of commutative quantum oscillator, in addition, the isotropic case as an independent problem has been studied. If the noncommutativity parameter approach to zero , the commutative quantum oscillator problem obtained as expected.