Unstable periodic orbits and semiclassical quantisation
- 7 February 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (3) , 685-692
- https://doi.org/10.1088/0305-4470/21/3/023
Abstract
The Bohr-Sommerfeld quantisation condition has a meaningful extension to classically chaotic systems whose periodic (unstable) orbits are isolated. It provides a semiclassical Euler factorisation for the functional determinant of the quantal Hamiltonian, in contrast to the Hadamard infinite product over the eigenvalues by which the exact determinant is defined.Keywords
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