Quantum-Classical Correspondence via Calculation Center of Mass

چکیده مقاله

In this paper we present a classical and quantum mechanical study of stadium billiard. By using the center of mass parameter we study chaos in stadium billiard. In classical the coordinate of the particle collision with billiard boundary and in quantum state the coordinate of the collision zeros of wave function on the boundary of billiard are used for calculate the center of mass parameter. Then we analyze the results obtained in classical and quantum billiards. Finally we compare the numerical results obtained of the center of mass parameter for similar states in classical and quantum billiard and we consider the relation between particle collision and distribution of zeros of wave function on the billiard.

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