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Type: Artigo de periódico
Abstract: Truncation of the Hamiltonian matrix in the harmonic oscillator representation of quantum mechanics corresponds to cutting off the action dependence of the classical Hamiltonian. The conjugate angle variable suffers a discontinuous jump, when the orbit collides with the action boundary in a manner analogous to the specular reflexion on the border of a common billiard. We derive the connection rule for the angles by analysing the limit of smooth cut-offs in the classical Hamiltonian, for which examples are given. It is found that different definitions of the classical cut-off may lead to diverse orbit structures, though the corresponding finite Hamiltonian matrices are identical.
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Date Issue: 1992
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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