Essays about: "Schrödinger operators"

Found 4 essays containing the words Schrödinger operators.

  1. 1. How to Rise from Ashes : A Comprehensive Guide to Finally Understand Canonical Quantization and Build Quantum Mechanics from Scratch

    University essay from Uppsala universitet/Materialteori; Uppsala universitet/Avdelningen för teoretisk filosofi

    Author : Karl Herlin; [2022]
    Keywords : Quantum mechanics; History of quantum mechanics; Canonical Quantization; double-slit experiment; The Photoelectric Effect; Compton Scattering; Matter Waves; Bohr’s Atomic Model; Old Quantum Theory; Heisenberg-Born-Jordan Matrix Mechanics; Schrodinger’s Quantum Wave Mechanics; equations of motion;

    Abstract : In this review essay, we account for the historical development of canonical quantization. By a detailed review of The Ultraviolet Catastrophe, The Photoelectric Effect, Compton Scattering, Matter Waves and Bohr's Atomic Model we learn about Old Quantum Theory. READ MORE

  3. 2. Numerical Simulation of Soliton Tunneling

    University essay from

    Author : Matilda Tiberg; Elias Estensen; Amanda Seger; [2020]
    Keywords : soliton; GPE; gross pitaevskii; Schrödinger; step potential; summation by parts; SBP-SAT; Simultaneous approximation term; SAT; Projection; SBP-Projection; finite differences; boundary treatment; interface treatment;

    Abstract : This project studied two different ways of imposing boundary conditions weakly with the finite difference summation-by-parts (SBP) operators. These operators were combined with the boundary handling methods of simultaneous-approximation-terms (SAT) and the Projection to impose homogeneous Neumann and Dirichlet boundary conditions. READ MORE

  4. 3. Numerical approaches to solving the time-dependent Schrödinger equation with different potentials

    University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

    Author : Lina Viklund; Louise Augustsson; Jonas Melander; [2016]
    Keywords : ;

    Abstract : This project is an immersive study in numerical methods, focusing on quantum molecular dynamics and methods for solving the time-dependent Schrödinger equation. First the Schrödinger equation was solved with finite differences and a basic propagator in time, and it was then concluded that this method is far too slow and compuationally heavy for its use to be justified for this type of problem. READ MORE

  5. 4. On Spectral Inequalities in Quantum Mechanics and Conformal Field Theory

    University essay from KTH/Matematik (Avd.)

    Author : Oscar Mickelin; [2015]
    Keywords : Schrödinger operators; Lieb-Thirring inequalities; commutation method; conformal field theory; Birman-Schwinger principle.; Schrödingeroperatorer; Lieb-Thirring-olikheter; kommutationsmetoden; konform fältteori; Birman-Schwinger-principen.;

    Abstract : Following Exner et al. (Commun. Math. Phys. READ MORE