10 research outputs found
Quantum Zeno and anti-Zeno effects in the Friedrichs model
We analyze the short-time behavior of the survival probability in the frame
of the Friedrichs model for different formfactors. We have shown that this
probability is not necessary analytic at the time origin. The time when the
quantum Zeno effect could be observed is found to be much smaller than usually
estimated. We have also studied the anti-Zeno era and have estimated its
duration.Comment: References added. Appendix B shortened. Discussions extende
Relativity and irreversibility
The Lorentz transformation is extended to the decaying states in
a relativistic model of interacting fields. The nonlocal action
is defined beyond the Hilbert space. This shows that irreversible
extensions of dynamics of Poincaré nonintegrable systems are
compatible with relativity
C^{2} formulation of Euler fluid
The Hamiltonian formalism for the continuous media is constructed using the
representation of Euler variables in phase
space.Comment: 8 page
Soliton in Gravitating Gas. Hoag's Object
We explore the possibility of creating of solitons in gravitating gas. It is
shown that the virial arguments does not put an obstacle for the existence of
localized static solutions. The simplest toroidal soliton of gravitating gas
could be the explanation of the peculiar galaxy named Hoag's object.Comment: 14 pages, 1 Figur
Perfect Fluid Theory and its Extensions
We review the canonical theory for perfect fluids, in Eulerian and Lagrangian
formulations. The theory is related to a description of extended structures in
higher dimensions. Internal symmetry and supersymmetry degrees of freedom are
incorporated. Additional miscellaneous subjects that are covered include
physical topics concerning quantization, as well as mathematical issues of
volume preserving diffeomorphisms and representations of Chern-Simons terms (=
vortex or magnetic helicity).Comment: 3 figure