Abstract
In this Letter we study the behavior of the eigenvalues of an operator defined by the action associated to a generic quadratic time-dependent Hamiltonian. This is done using a polar representation of the solutions of the corresponding linear Hamiltonian system. A proof of the Morse index theorem is given.
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Rezende, J. A Polar Representation and the Morse Index Theorem. Letters in Mathematical Physics 50, 91–102 (1999). https://doi.org/10.1023/A:1007654910421
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DOI: https://doi.org/10.1023/A:1007654910421