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math-ph2005★ 18 cited
Quadratic Quantum Hamiltonians revisited
Monique Combescure, Didier Robert
Time dependent quadratic Hamiltonians are well known as well in classical mechanics and in quantum mechanics. In particular for them the correspondance between classical and quantu…
math-ph2004★ 1 cited
Non linear eigenvalue problems
Didier Robert
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non…