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Sat, 02 Sep 2000 00:00:00 +0200Sat, 02 Sep 2000 00:00:00 +0200Stark Resonances in dc fields from short time propagation of the field-free Hamiltonian
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/907
A new method for calculating Stark resonances is presented and applied for illustration to the simple case of a one-particle, one-dimensional model Hamiltonian. The method is applicable for weak and strong dc fields. The only need, also for the case of many particles in multi-dimensional space, are either the short time evolution matrix elements or the eigenvalues and Fourier components of the eigenfunctions of the field-free Hamiltonian.Nimrod Moiseyev; Markus Glück; Hans Jürgen Korscharticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/907Sat, 02 Sep 2000 00:00:00 +0200Selective Quasienergies from Short Time Cross-Correlation Probability Amplitudes by the Filter-Diagonalization Method
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/866
The Filter-Diagonalization Method is applied to time periodic Hamiltonians and used to find selectively the regular and chaotic quasienergies of a driven 2D rotor. The use of N cross-correlation probability amplitudes enables a selective calculation of the quasienergies from short time propagation to the time T (N). Compared to the propagation time T (1) which is required for resolving the quasienergy spectrum with the same accuracy from auto-correlation calculations, the cross-correlation time T (N) is shorter by the factor N , that is T (1) = N T (N).Markus Glück; Hans Jürgen Korsch; Nimrod Moiseyevarticlehttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/866Wed, 30 Aug 2000 00:00:00 +0200