Relativistic quantum dynamics of spin-0 system of the DKP oscillator in
a G\"{o}del-type space-time
- URL: http://arxiv.org/abs/2002.03943v1
- Date: Fri, 7 Feb 2020 04:55:26 GMT
- Title: Relativistic quantum dynamics of spin-0 system of the DKP oscillator in
a G\"{o}del-type space-time
- Authors: Faizuddin Ahmed
- Abstract summary: We derive the final form of this equation in a flat class of G"odel-type space-time.
We evaluate the eigenvalues and corresponding eigenfunctions in detail.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this article, we study the DKP equation for the oscillator in a
G\"{o}del-type space-time background. We derive the final form of this equation
in a flat class of G\"{o}del-type space-time and solve it analytically, and
evaluate the eigenvalues and corresponding eigenfunctions, in detail.
Related papers
- Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay.
We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
arXiv Detail & Related papers (2024-05-27T16:11:39Z) - Klein-Gordon oscillators, RQM and quantum time [55.2480439325792]
We show that turning on the interaction of relativistic spinless particles with the vacuum of relativistic quantum mechanics (RQM) leads to the replacement of the Klein-Gordon equation with the Klein-Gordon equation.
In this case, coordinate time becomes an operator and free relativistic particles go into a virtual state.
arXiv Detail & Related papers (2024-05-23T09:20:56Z) - Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in
topological defects backgrounds [8.685496600907996]
We study the generalized Duffin-Kemmer-Petiau (DKP) oscillator under the influence of quantum flux field.
It is shown that the energy eigenvalues are influenced by the topological defect of cosmic string and point-like global monopole.
arXiv Detail & Related papers (2024-02-02T05:25:46Z) - Initial value formulation of a quantum damped harmonic oscillator [0.18416014644193066]
We study the initial state-dependence, decoherence, and thermalization of a quantum damped harmonic oscillator.
We find that the dynamics must include a non-vanishing noise term to yield physical results for the purity.
We briefly consider time-nonlocal dissipation as well, to show that the fluctuation-dissipation relation is satisfied for a specific choice of dissipation kernels.
arXiv Detail & Related papers (2023-03-08T19:03:12Z) - Schwinger-Keldysh path integral formalism for a Quenched Quantum
Inverted Oscillator [0.0]
We study the time-dependent behaviour of quantum correlations of a system governed by out-of-equilibrium dynamics.
Next, we study a specific case, where the system exhibits chaotic behaviour by computing the quantum Lyapunov from the time-dependent behaviour of OTOC.
arXiv Detail & Related papers (2022-10-03T18:00:02Z) - Real-Space, Real-Time Approach to Quantum-Electrodynamical
Time-Dependent Density Functional Theory [55.41644538483948]
The equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid.
Examples include the coupling strength and light frequency dependence of the energies, wave functions, optical absorption spectra, and Rabi splitting magnitudes in cavities.
arXiv Detail & Related papers (2022-09-01T18:49:51Z) - Klein-Gordon particles in G\"odel-type Som-Raychaudhuri cosmic string
spacetime and the phenomenon of spacetime associated degeneracies [0.0]
We report the effects of the gravitational fields generated by a G"odel-type Som-Raychaudhuri (SR) cosmic string spacetime on KG-oscillators (KG-particles in general)
We discuss the drawbacks associated with the power series expansion approach that implies the biconfluent Heun functions/polynomials solution.
The comprehensive exactness of the reported solutions manifestly suggest degeneracies associated with spacetime (STAD) phenomenon.
arXiv Detail & Related papers (2022-07-30T09:06:51Z) - Intrinsic decoherence for the displaced harmonic oscillator [77.34726150561087]
We use the complete solution of the Milburn equation that describes intrinsic decoherence.
We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.
arXiv Detail & Related papers (2021-12-06T03:15:43Z) - Harmonic oscillator kicked by spin measurements: a Floquet-like system
without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom.
The dynamics of this system is determined in closed analytical form.
We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z) - Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z) - The generalized Klein-Gordon oscillator with position-dependent mass in
a particular G\"{o}del-type space-time [27.994100297565268]
relativistic quantum dynamics of the generalized Klein-Gordon (KG) oscillator having position-dependent mass in the G"odel-type space-time is investigated.
modification from the parameters of position-dependent mass and characterizing the space-time for the energy spectrums are presented.
arXiv Detail & Related papers (2021-06-23T08:14:32Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.