Approximate solution of the time-dependent Kratzer plus screened Coulomb
potential in Feinberg-Horodecki equation
- URL: http://arxiv.org/abs/2007.14799v1
- Date: Mon, 27 Jul 2020 19:43:20 GMT
- Title: Approximate solution of the time-dependent Kratzer plus screened Coulomb
potential in Feinberg-Horodecki equation
- Authors: Mahmoud Farout, Ramazan Sever and Sameer M. Ikhdair
- Abstract summary: We obtain the quantized momentum eigenvalues, $P_n$, together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation.
The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We obtain the quantized momentum eigenvalues, $P_n$, together with space-like
coherent eigenstates for the space-like counterpart of the Schrodinger
equation, the Feinberg-Horodecki equation, with a combined Kratzer potential
plus screened coulomb potential which is constructed by temporal counterpart of
the spatial form of these potentials. The present work is illustrated with two
special cases of the general form: the time-dependent modified Kratzer
potential and the time-dependent screened Coulomb potential.
Related papers
- Quantum beating and cyclic structures in the phase-space dynamics of the Kramers-Henneberger atom [0.0]
We investigate the phase-space dynamics of the Kramers Henneberger atom.
For the KH potential, coherent superpositions of eigenstates perform a cyclic motion confined in momentum space.
A comparison of the quasiprobability flow with classical phase-space constraints shows that, for the KH atom, the momentum must be bounded from above.
arXiv Detail & Related papers (2024-12-09T11:36:49Z) - Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field [0.0]
The Dirac equation is considered with the recently proposed generalized gravitational interaction (Kepler or Coulomb)
The general idea in choosing the metric is that the spacetime contributions are contained in an external potential or in an electromagnetic potential.
The impossibility of solving our equation for the quantum-corrected Coulomb terms using known exact or quasi-exact nonperturbative analytical techniques is discussed.
arXiv Detail & Related papers (2024-08-20T07:13:45Z) - Ultracold Neutrons in the Low Curvature Limit: Remarks on the
post-Newtonian effects [49.1574468325115]
We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime.
We calculate the next-to-leading order corrections to the neutron's energy spectrum.
While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
arXiv Detail & Related papers (2023-12-30T16:45:56Z) - Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential.
We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z) - Electron Scattering at a Potential Temporal Step Discontinuity [0.27624021966289597]
We show that the Schrodinger equation cannot account for scattering in this problem.
We derive the scattering probabilities, of later forward and backward nature, with the later-backward wave being a relativistic effect.
arXiv Detail & Related papers (2023-07-16T17:33:17Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
Dual-unitary circuits are a class of locally-interacting quantum many-body systems.
In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics.
We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
arXiv Detail & Related papers (2022-07-29T18:20:09Z) - Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables.
In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
arXiv Detail & Related papers (2021-02-18T20:55:04Z) - Feinberg-Horodecki exact momentum states of improved deformed
exponential-type potential [0.0]
We obtain the quantized momentum eigenvalues, Pn, and the momentum eigenstates for the space-like Schrodinger equation.
We plot the variations of the improved deformed exponential-type potential with its momentum eigenvalues for few quantized states against the screening parameter.
arXiv Detail & Related papers (2020-07-27T21:29:30Z) - Exact Quantized Momentum Eigenvalues and Eigenstates of a General
Potential Model [0.0]
We obtain the quantized momentum eigenvalues, $P_n$.
We also plot the variations of the general molecular potential with its two special cases and their momentum states for few quantized states against the screening parameter.
arXiv Detail & Related papers (2020-07-27T20:05:11Z) - Momentum eigensolutions of Feinberg-Horodecki equation with
time-dependent screened Kratzer-Hellmann potential [0.0]
We get an approximate value of the quantized momentum eigenvalues, $P_n$, together with the space-like coherent eigenvectors for the Feinberg-Horodecki equation.
The present work is illustrated with three special cases of the screened Kratzer-Hellman potential: the time-dependent screened Kratzer potential, time-dependent Hellmann potential and, the time-dependent screened Coulomb potential.
arXiv Detail & Related papers (2020-06-22T14:27:23Z)
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.