Abstract
Dynamics of a particle in confined-harmonic potential, subjected to external static electric and time-dependent laser fields is studied. The energy levels and wave functions of unperturbed harmonic oscillator are evaluated using B-polynomial Galerkin method. Matrix formulation is used throughout the procedure. This procedure is very simple and efficient in comparison with other methods. Modifications of wave functions and energy levels due to static electric field are also calculated. Finally, absorption spectra of such a driven oscillator are studied and explained.
Highlights
The systems for which exact quantum mechanical solutions for Schrödinger equation can be found are few in number, for example, the harmonic oscillator potential and nonrelativistic hydrogen atom
The confined-harmonic oscillator potential plays an important role in many applications of Quantum Mechanics
The Schrödinger equation for this potential has been studied for systems ranging from 1-Dimensional to D-Dimensional Space [1,2,3,4]
Summary
The systems for which exact quantum mechanical solutions for Schrödinger equation can be found are few in number, for example, the harmonic oscillator potential and nonrelativistic hydrogen atom. The confined-harmonic oscillator potential plays an important role in many applications of Quantum Mechanics Such a potential is extensively used to describe the bound states of nonrelativistic systems. The exact wave functions and eigenvalues of a 2D time-dependent harmonic oscillator under the influence of a static magnetic field have been calculated [18]. C. Liang et al have studied the properties of Hooke’s atom (two electrons interacting with Coulomb potential in an external harmonic oscillator potential) in an arbitrary time-dependent electric field [22]. The dynamics of an electron in a confined-harmonic potential in static electric and strong laser fields is studied.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
