Essays about: "Schatten-von Neumann Operator"

Found 1 essay containing the words Schatten-von Neumann Operator.

  1. 1. A Mathematical Analysis of the Harmonic Oscillator in Quantum Mechanics

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Philip Solarz; [2021]
    Keywords : Functional Analysis; Quantum Mechanics; Harmonic Oscillator; Schrödinger Equation; Hamiltonian Operator; Hermite Functions; Hilbert Space; Schatten-von Neumann Operator; Mehler s Formula;

    Abstract : In this paper we derive the eigenfunctions to the Hamiltonian operator associated with the Harmonic Oscillator, and show that they are given by the Hermite functions. Then we prove that the Hermite functions form an orthonormal basis in the underlying Hilbert space. READ MORE