nt - p h / 01 11 06 1 v 2 5 A pr 2 00 2 Self - adjoint Time Operator is the Rule for Discrete

ar X iv : q ua nt - p h / 05 03 18 7 v 1 2 3 M ar 2 00 5 Existence of Time Operator for a Singular Harmonic Oscillator

The time operator for a quantum singular oscillator of the Calogero-Sutherland type is constructed in terms of the generators of the SU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the time operator is not self-adjoint. We show, that the time-energy uncertainty relation can be given the meaning within the Barut-Girardello coherent states defined for the singular oscil...

ar X iv : m at h - ph / 0 40 40 06 v 1 2 A pr 2 00 4 Pure point spectrum for the time evolution of a periodically rank - N kicked Hamiltonian

We find the conditions under which the spectrum of the unitary time evolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equiva...

nt - p h / 02 06 01 2 v 1 3 J un 2 00 2 COHERENT STATES , ENTANGLEMENT , AND GEOMETRIC INVARIANT THEORY

ua nt - p h / 05 06 06 6 v 1 8 J un 2 00 5 Bell ’ s Jump Process in Discrete Time Jonathan Barrett

The jump process introduced by J. S. Bell in 1986, for defining a quantum field theory without observers, presupposes that space is discrete whereas time is continuous. In this letter, analogous processes in discrete time are introduced. MSC (2000): 81T25, 60J10. PACS: 02.50.Ga; 03.65.Ta.

ua nt - p h / 06 04 16 5 v 1 2 1 A pr 2 00 6 Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon

Department of Physics, Tokyo Institute of Technology, Department of Information and Communication Engineering, The University of Electro-Communications, 3 Division of Materials Physics, Graduate School of Engineering Science, Osaka University, 4 Japan Science and Technology Agency-PRESTO, CREST. 2-12-1 O-okayama, Meguro-ku, Tokyo 152-8550, Japan 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, Japan 1-...