Phys. Rev. E 56, 278–284 (1997)Calculation of eigenvalues of a strongly chaotic system using Gaussian wave-packet dynamicsReceived 2 July 1996; revised 4 April 1997; published in the issue dated July 1997 We apply the approximate dynamics derived from the Gaussian time-dependent variational principle (TDVP) to the Hamiltonian H⁁=1/2(p⁁x2+p⁁y2)+1/2x⁁2y⁁2, which is strongly chaotic in the classical limit. We are able to calculate, essentially analytically, low-lying eigenvalues for this system. These approximate eigenvalues agree within a few percent with the numerical results. We believe that this is the first example of the use of TDVP dynamics to compute individual eigenvalues in a nontrivial system and one of the few such computations in a chaotic system by any method. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.56.278
DOI:
10.1103/PhysRevE.56.278
PACS:
05.45.+b, 03.65.Sq, 05.40.+j
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