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Closed orbits and semiclassical wavefunctions in two-dimensional Hamiltonian systems (1992)

Mao, J. -M. ; Shaw, J. ; Delos, J. B.

Springer

Journal of statistical physics 68 (1992), S. 51-96

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ISSN: 1572-9613

Keywords: Semiclassical approximation ; Green's function ; closed-orbit theory ; Maslov index ; atomic absorption spectra

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The periodic-orbit theory of the density-of-states and the closed-orbit theory of atomic absorption spectra relate properties of a quantum system to properties of periodic or of closed orbits of a system. In these theories, every return of an orbit to the initial point makes a contribution, so in general for each orbit an infinite number of terms must be computed and summed. We show that the term asising from thenth return of an orbit can be calculated from properties of the orbit on its first return.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01048837

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