Search: eigenstate

5 results

Quantum Mechanics 5

  Modeling Atoms, Molecules, and Crystals in One Dimension

spin, hemmer, eigenenergy, eigenstate, schrödinger equation, waves

Solving the time independent Schrödinger equation in one dimension using matrix diagonalisation for five different potentials.

  Solving the Time-Dependent Schrödinger equation

animation, eigenenergy, eigenstate, schrödinger equation, tunneling, scattering, ehrenfest's theorem

The Time-Dependent Schrödinger equation is solved by expressing the solution as a linear combination of (stationary) solutions of the Time-Independent Schrödinger equation.

  Numerical Determination of Eigenenergies for an Asymmetric Potential

eigenenergy, forward shooting, eigenstate, schrödinger equation

Using a forward-shooting method to determine the eigenenergies and eigenfunctions of an asymmetric potential in one dimension.

  Eigenenergies of the Double-Well Potential

eigenenergy, forward shooting, eigenstate

Calculating the eigenenergies of the lowest states for a one-dimensional double-well potential.

  Numerical Determination of Eigenenergies for the Harmonic Oscillator

eigenenergy, harmonic oscillator, forward shooting, eigenstate

Using the method of forward shooting to determine numerically the eigenenergies of the quantum harmonic oscillator in one dimension.