Essays about: "time-dependent schrödinger equation"

Showing result 1 - 5 of 10 essays containing the words time-dependent schrödinger equation.

  1. 1. Fano Resonances in Time-Dependent Wells

    University essay from Uppsala universitet/Materialteori

    Author : Anton Gregefalk; [2023]
    Keywords : Fano resonance; Floquet scattering; Pumped shot-noise; Linear band tilt; Quadratic band touching; Time periodic Hamiltonian;

    Abstract : Floquet’s theorem, a temporal analogue of Bloch’s theorem, is used for studying a time-dependent potential. With applications in cold atoms on optical lattices, quantum dots and more, there is a growing interest in Floquet engineering exotic materials and phases. READ MORE

  3. 2. Constructing Numerical Methods For Solving The Guiding Equation In Bohmian Mechanics

    University essay from Uppsala universitet/Materialteori

    Author : Nilsson Robert; [2021]
    Keywords : Bohmian mechanics; De Broglie Bohm Theory; Numerical Methods;

    Abstract : The aim of this thesis was to simulate a part of a proposed experiment by Lev Vaidman by using Bohmian mechanics. To do this a numerical method for solving the Schrödinger equation and theguiding equation was created, with several ways of making the simulation more efficient. READ MORE

  4. 3. Comparing Three Numerical Methods For Solving The 1D Time Dependent Schrödinger Equation

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Atabak Fathe Jalali; Hugo Åkesson; [2021]
    Keywords : ;

    Abstract : The purpose of this thesis is to implement three numerical methods for solving and examining the time-dependent Schrödinger equation (TDSE) of the analytically solved quantum harmonic oscillator (QHO) and the, to our knowledge, analytically unsolved double well potential (DW), and to compare the numerical solutions. These methods are the Crank-Nicolson method and two split operator methods of different orders. READ MORE

  5. 4. Conservative high order collocation methods for nonlinear Schrödinger equations

    University essay from Stockholms universitet/Fysikum

    Author : Pau Riera; [2021]
    Keywords : Gross-Pitaevskii equation;

    Abstract : In this thesis, we investigate the numerical solution of time-dependent nonlinear Schrödinger equations (more specifically, the Gross-Pitaevskii equation) that appear in the modeling of Bose-Einstein condensates. Since the model is known to conserve important physical invariants, such as mass and energy of the condensate, our goal is to study the importance of reproducing the conservation on the discrete level. READ MORE

  6. 5. Dependency of high-order harmonics to polarisation properties of many-cycle driving fields

    University essay from Lunds universitet/Atomfysik; Lunds universitet/Fysiska institutionen

    Author : Timothé Ramboazanaka; [2018]
    Keywords : Atomic physics; attosecond pulses; high-order harmonic generation; polarisation; polarisation state; electron wave packet trajectory; three-step model; time-dependent schrödinger equation; TDSE; two-colour; selection rules; symmetry; conservation laws; Physics and Astronomy;

    Abstract : Light-matter interactions can be used to probe both light and matter as they yield information on a system's state. On the ultrafast timescale, it is possible to employ these interactions to probe fast-occurring phenomena. READ MORE