L7_1 - eigenfunctions and eigenvalues The Hamiltonian...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Wave Mechanics Erwin Schroedinger: an electron exhibiting wave-like properties can be described by a mathematical equation called wave equation. The electron is then described by a wave-function ( ψ ) corresponding to a standing wave, within the boundary conditions of the system under investigation. Ψ  e
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Schroedinger equation as an eigenvalue problem: frst we introduce the concept oF operators
Background image of page 2
Schroedinger equation as an eigenvalue problem: eigenfunctions and eigenvalues a a
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Schroedinger equation as an eigenvalue problem:
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: eigenfunctions and eigenvalues The Hamiltonian operator acts on the wavefunction and gives the energy of the particle The wavefunction is an eigenfunction of the Hamiltonian operator and the energy is an eigenvalue of the Hamiltonian operator Schroedinger equation as an eigenvalue problem: eigenfunctions and eigenvalues Kinetic Energy Operator (1D) Momentum Operator (1D) Is the function exp(ikx) an eigenfunction of the momentum operator?...
View Full Document

Page1 / 5

L7_1 - eigenfunctions and eigenvalues The Hamiltonian...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online