QUANTUM CHAOS AND SENSITIVITY TO SYSTEM PARAMETERS

G. V. Bhanot, J. C. Parikh, V. B. Sheorey and A. Pandey
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G. V. Bhanot: Institute for Advanced Study, Princeton, NJ 08540, USA;
J. C. Parikh: Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
V. B. Sheorey: Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
A. Pandey: School of Physica! Sciences, Jawaharlal Nehru University, New Delhi 110067, India;

International Journal of Modern Physics C (IJMPC), 1990, vol. 01, issue 04, 279-284

Abstract: We study the eigenfunctions and eigenvalues of the Hamiltonian$H =p_x^2 +p_y^2 +x^4 +y^4 +\alpha x^2 y^2$in the classically chaotic regime. It is shown that the overlap of wavefunctions at neighboring α values provides a sensitive measure to demonstrate the onset of chaos in quantum systems.

Date: 1990
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DOI: 10.1142/S0129183190000153

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