Time Dependence of Joint Entropy of Oscillating Quantum Systems |
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| Authors: | Özgür Özcan Ethem Aktürk Ramazan Sever |
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| Institution: | (1) Department of Physics Education, Hacettepe University, 06800 Ankara, Turkey;(2) Department of Physics, Hacettepe University, 06800 Ankara, Turkey;(3) Department of Physics, Middle East Technical University, 06531 Ankara, Turkey |
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| Abstract: | The time dependent entropy (or Leipnik’s entropy) of harmonic and damped harmonic oscillator systems is studied by using time
dependent wave function obtained by the Feynman path integral method. The Leipnik entropy and its envelope change as a function
of time, angular frequency and damping factor. Our results for simple harmonic oscillator are in agreement with the literature.
However, the joint entropy of damped harmonic oscillator shows remarkable discontinuity with time for certain values of damping
factor. The envelope of the joint entropy curve increases with time monotonically. These results show the general properties
of the envelope of the joint entropy curve for quantum systems. |
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| Keywords: | Joint entropy Simple harmonic oscillator Damped harmonic oscillator Path integral |
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