Exact Solution of Spherical Harmonic Potential Coupled with E and M fields

• URL: http://arxiv.org/abs/2212.04602v1
• Date: Thu, 8 Dec 2022 23:26:05 GMT
• Title: Exact Solution of Spherical Harmonic Potential Coupled with E and M fields
• Authors: Tunde Joseph Taiwo
• Abstract summary: We consider a quantum system in a 3D spherical oscillator symmetric potential function coupled with an electric and a magnetic field. We obtain the energy spectrum and wavefunction in the two cases.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Using the technique of tridiagonal representation approach; for the first time, we extend this method to study quantum systems with literally perturbed Hamiltonians. Specifically, we consider a quantum system in a 3D spherical oscillator symmetric potential function coupled with an electric and a magnetic field. We obtain the energy spectrum and wavefunction in the two cases.

Related papers

• Energetics of the dissipative quantum oscillator [22.76327908349951]
  We discuss some aspects of the energetics of a quantum Brownian particle placed in a harmonic trap. Based on the fluctuation-dissipation theorem, we analyze two distinct notions of thermally-averaged energy. We generalize our analysis to the case of the three-dimensional dissipative magneto-oscillator.
  arXiv  Detail & Related papers  (2023-10-05T15:18:56Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Calculating non-linear response functions for multi-dimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
  We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment. A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
  arXiv  Detail & Related papers  (2022-07-06T15:30:38Z)
• A Note on Shape Invariant Potentials for Discretized Hamiltonians [0.0]
  We show that the energy spectra and wavefunctions for discretized Quantum Mechanical systems can be found using the technique of N=2 Supersymmetric Quantum Mechanics.
  arXiv  Detail & Related papers  (2022-05-20T11:34:07Z)
• Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
  We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system. By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode. The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
  arXiv  Detail & Related papers  (2022-03-14T20:23:23Z)
• Topological Insulators Quantum Mechanics [0.0]
  Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure.
  arXiv  Detail & Related papers  (2021-10-21T20:03:30Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• Application of regularization maps to quantum mechanical systems in 2 and 3 dimensions [0.0]
  We map the classical system where a particle moves under the combined influence of $frac1r$ and $r2$ potentials. We derive the eigen spectrum of the Hydrogen atom in presence of an additional harmonic potential. Exploiting this equivalence, the solution to the Schr"odinger equation of the former is obtained from the solutions of the later.
  arXiv  Detail & Related papers  (2021-02-12T11:06:38Z)
• Alternative approaches to the description of quantum dynamics in multi-well potentials [0.0]
  We consider three different approaches to analyze the quantum mechanical problems in multi-well potentials. The latter approach gives a unique possibility to include the specific multi-well features of the problem directly in the calculation procedure.
  arXiv  Detail & Related papers  (2020-12-09T17:54:10Z)
• Construction of potential functions associated with a given energy spectrum [0.0]
  We present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy spectrum. In this work, we study the class of problems with a mix of continuous and discrete energy spectrum that are associated with the continuous dual Hahn.
  arXiv  Detail & Related papers  (2020-02-05T14:30:26Z)

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.