We construct and discusss explicitly time dependent integrals of the motion of non-autonornous quantum systems. Such integrals may exist even when the classical limit of the dynamics is nonintegrable.
Quadratic Integrals of Motion for Systems of Identical Particles: The Quantum Case
β Scribed by Y. Brihaye; C. Gonera; P. Kosinski; P. Maslanka; S. Giller
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 100 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0040-5779
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## Abstract We identify a general criterion for detecting entanglement of pure bipartite quantum states describing a system of two identical particles. Such a criterion is based __both__ on the consideration of the SlaterβSchmidt number of the fermionic and bosonic analog of the Schmidt decompositi
A solution of motion defined by a Hamiltonian function x = %(q\* , P!J + 1 ~"Kdqk, , Plc ; 0 k = 1, 2,..., N n=\* of a system in time-dependent fields, is found by the use of power series expansions in a perturbation parameter. The solution is in the form of 2N independent integrals of motion, the p