Initial Conditions of Closed Classical Orbits from Quantum Spectra

Details Initial Conditions of Closed Classical Orbits from Quantum Spectra Initial Conditions of Closed Classical Orbits from Quantum Spectra

2008-04-04

arxiv.org/abs/0804.0634v1

Chaos 6, 63 (1996)

Physics

Atomic Physics

Scientific paper

10.1063/1.166157

A method is presented for determining the initial conditions of classical orbits from the quantum spectra of the diamagnetic hydrogen atom. Each classical trajectory which is closed at the nucleus produces a sinusoidal fluctuation in the photoabsorption spectrum. The amplitude of each orbit's contribution appears in the Fourier transform of a spectrum computed at constant scaled energy. For a given initial state, closed-orbit theory gives the dependence of this recurrence amplitude on the initial angle of an orbit. By comparing the recurrence amplitudes for different initial states, the initial conditions of closed classical orbits are determined from quantum spectra.

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