Time Dependence of Joint Entropy of Oscillating Quantum Systems

Akturk, Ethem
Sever, Ramazan
The time dependent entropy (or Leipnik's entropy) of harmonic and damped harmonic oscillator systems is studied by using time dependent wave function obtained by the Feynman path integral method. The Leipnik entropy and its envelope change as a function of time, angular frequency and damping factor. Our results for simple harmonic oscillator are in agreement with the literature. However, the joint entropy of damped harmonic oscillator shows remarkable discontinuity with time for certain values of damping factor. The envelope of the joint entropy curve increases with time monotonically. These results show the general properties of the envelope of the joint entropy curve for quantum systems.


Polynomial solution of non-central potentials
Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-10-01)
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.
Neutrino oscillations induced by spacetime torsion
Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21)
The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
Spherically symmetric solutions of Einstein plus non-polynomial gravities
Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01)
We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
Hybrid mesons in the context of the relativistic equation
Zakout, I; Sever, Ramazan (Springer Science and Business Media LLC, 1997-08-01)
The flux tube model of hybrid mesons is studied in the context of the relativistic equation in the adiabatic approximation. The moment of inertia of the rigid-rod flux tube is considered in the kinetic part of the interaction. The nonrelativistic and relativistic one scalar bead flux tube is integrated numerically and compared with the adiabatic flux tube small oscillation approximation. The relativistic scalar bead picture suggests that the lowest gluonic excitation of a massive gluon is color octet q (q) ...
Second order perturbation theory in general relativity: Taub charges as integral constraints
Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-05-01)
In a nonlinear theory, such as general relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions. This fact can make the perturbation theory ill defined, which would be a problem both at the classical and semiclassical quantization level. Here we study the first and second order perturbation theory i...
Citation Formats
Ö. ÖZCAN, E. Akturk, and R. Sever, “Time Dependence of Joint Entropy of Oscillating Quantum Systems,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 3207–3218, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62781.