Feinberg-Horodecki exact momentum states of improved deformed
exponential-type potential
- URL: http://arxiv.org/abs/2007.14789v2
- Date: Thu, 30 Jul 2020 12:11:44 GMT
- Title: Feinberg-Horodecki exact momentum states of improved deformed
exponential-type potential
- Authors: Mahmoud Farout, Ahmed Bassalat, Sameer M. Ikhdair
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We obtain the quantized momentum eigenvalues, Pn, and the momentum
eigenstates for the space-like Schrodinger equation, the Feinberg-Horodecki
equation, with the improved deformed exponential-type potential which is
constructed by temporal counterpart of the spatial form of these potentials. We
also plot the variations of the improved deformed exponential-type potential
with its momentum eigenvalues for few quantized states against the screening
parameter.
Related papers
- Grassmann Variational Monte Carlo with neural wave functions [45.935798913942904]
We formalize the framework introduced by Pfau et al.citepfau2024accurate in terms of Grassmann geometry of the Hilbert space.<n>We validate our approach on the Heisenberg quantum spin model on the square lattice, achieving highly accurate energies and physical observables for a large number of excited states.
arXiv Detail & Related papers (2025-07-14T13:53:13Z) - Latent Space Energy-based Neural ODEs [73.01344439786524]
This paper introduces a novel family of deep dynamical models designed to represent continuous-time sequence data.
We train the model using maximum likelihood estimation with Markov chain Monte Carlo.
Experiments on oscillating systems, videos and real-world state sequences (MuJoCo) illustrate that ODEs with the learnable energy-based prior outperform existing counterparts.
arXiv Detail & Related papers (2024-09-05T18:14:22Z) - Exponential optimization of quantum state preparation via adiabatic thermalization [0.0]
We study the preparation of a given quantum state on a quantum computing register.
We use the adiabatic theorem for state preparation, whose error decreases exponentially as a function of the thermalization time.
We then design a preconditioning term that modifies the adiabatic preparation, thus reducing its characteristic time.
arXiv Detail & Related papers (2024-05-06T17:29:31Z) - 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) - The Potential Inversion Theorem [0.0]
We prove the potential inversion theorem, which says that wavefunction probability in these models is preserved under the sign inversion of the potential energy.
We show how the potential inversion theorem illustrates several seemingly unrelated physical phenomena, including Bloch oscillations, localization, particle-hole symmetry, negative potential scattering, and magnetism.
arXiv Detail & Related papers (2023-05-12T05:32:53Z) - 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) - Fermionic approach to variational quantum simulation of Kitaev spin
models [50.92854230325576]
Kitaev spin models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions.
We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation.
We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
arXiv Detail & Related papers (2022-04-11T18:00:01Z) - Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a
trapping potential [0.0]
We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model.
We compute the level spacing statistic, the time evolution of the number imbalance between the odd and the even sites, and the entanglement entropy.
arXiv Detail & Related papers (2021-08-03T01:37:42Z) - Machine Learning S-Wave Scattering Phase Shifts Bypassing the Radial
Schr\"odinger Equation [77.34726150561087]
We present a proof of concept machine learning model resting on a convolutional neural network capable to yield accurate scattering s-wave phase shifts.
We discuss how the Hamiltonian can serve as a guiding principle in the construction of a physically-motivated descriptor.
arXiv Detail & Related papers (2021-06-25T17:25:38Z) - 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) - Eigensolutions of the N-dimensional Schr\"odinger equation interacting
with Varshni-Hulth\'en potential model [0.0]
Solution of the N-dimensional Schr"odinger equation for the newly proposed Varshni-Hulth'en potential is presented.
numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobis.
arXiv Detail & Related papers (2020-12-26T22:54:13Z) - 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)
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.