An algorithm for exact analytical solutions for tilted anisotropic Dirac materials

• URL: http://arxiv.org/abs/2305.00913v2
• Date: Fri, 22 Mar 2024 00:33:12 GMT
• Title: An algorithm for exact analytical solutions for tilted anisotropic Dirac materials
• Authors: Julio A. Mojica-Zárate, Daniel O-Campa, Erik Díaz-Bautista,
• Abstract summary: We obtain the exact solutions for bound states of tilted anisotropic Dirac materials under the action of external electric and magnetic fields with translational symmetry. In order to solve the eigenvalue equation that arises from the effective Hamiltonian of these materials, we describe an algorithm that allow us to decouple the differential equations that are obtained for the spinor components.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we obtain the exact solutions for bound states of tilted anisotropic Dirac materials under the action of external electric and magnetic fields with translational symmetry. In order to solve the eigenvalue equation that arises from the effective Hamiltonian of these materials, we describe an algorithm that allow us to decouple the differential equations that are obtained for the spinor components.

Related papers

• Phase-space representation of coherent states generated through SUSY QM for tilted anisotropic Dirac materials [0.0]
  We focus on a distinct non-zero electric field magnitude, enabling the decoupling of the differential equation system inherent in the eigenvalue problem. Supersymmetric quantum mechanics facilitates the determination of eigenstates and eigenvalues corresponding to the Hamiltonian operator.
  arXiv  Detail & Related papers  (2024-03-27T23:04:51Z)
• Quantum tomography of helicity states for general scattering processes [55.2480439325792]
  Quantum tomography has become an indispensable tool in order to compute the density matrix $rho$ of quantum systems in Physics. We present the theoretical framework for reconstructing the helicity quantum initial state of a general scattering process.
  arXiv  Detail & Related papers  (2023-10-16T21:23:42Z)
• Moving mirror-field dynamics under intrinsic decoherence [77.34726150561087]
  We study the decaying dynamics in the mirror-field interaction by means of the intrinsic decoherence scheme. We show expectation values, correlations, and Husimi functions for the solutions obtained.
  arXiv  Detail & Related papers  (2023-05-06T03:41:45Z)
• An approach to robust ICP initialization [77.45039118761837]
  We propose an approach to initialize the Iterative Closest Point (ICP) algorithm to match unlabelled point clouds related by rigid transformations. We derive bounds on the robustness of our approach to noise and numerical experiments confirm our theoretical findings.
  arXiv  Detail & Related papers  (2022-12-10T16:27:25Z)
• Relativistic dynamical inversion in manifestly covariant form [0.0]
  The Relativistic Dynamical Inversion technique is a novel tool for finding analytical solutions to the Dirac equation. The most remarkable feature of the new method is the ease of performing non-trivial change of reference frames. A whole family of normalizable analytic solutions to the Dirac equation is constructed.
  arXiv  Detail & Related papers  (2022-05-24T10:19:28Z)
• Complex Supersymmetry in Graphene [0.0]
  This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields.
  arXiv  Detail & Related papers  (2022-03-15T18:07:28Z)
• Deformed Explicitly Correlated Gaussians [58.720142291102135]
  Deformed correlated Gaussian basis functions are introduced and their matrix elements are calculated. These basis functions can be used to solve problems with nonspherical potentials.
  arXiv  Detail & Related papers  (2021-08-10T18:23:06Z)
• Symmetry Breaking in Symmetric Tensor Decomposition [44.181747424363245]
  We consider the nonsymmetry problem associated with computing the points rank decomposition of symmetric tensors. We show that critical points the loss function is detected by standard methods.
  arXiv  Detail & Related papers  (2021-03-10T18:11:22Z)
• Bilayer graphene in magnetic fields generated by supersymmetry [0.0]
  Hamiltonian for electrons in bilayer graphene with applied magnetic fields is solved through second-order supersymmetric quantum mechanics. New kinds of magnetic fields associated to non-shape-invariant SUSY partner potentials are generated.
  arXiv  Detail & Related papers  (2021-01-13T23:29:41Z)
• New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
  We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We modify the time-dependent Schr"odinger equation through a change of representation. The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
  arXiv  Detail & Related papers  (2020-11-23T17:29:31Z)
• Degenerate solutions to the massless Dirac and Weyl equations and a proposed method for controlling the quantum state of Weyl particles [0.0]
  We show that all solutions to the Weyl equation and a special class of solutions to the Dirac equation are degenerate. A method for fully controlling the quantum state of Weyl particles using appropriate electromagnetic fields is proposed.
  arXiv  Detail & Related papers  (2020-10-19T20:34:59Z)

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.