The simulations are:
BOUND1D (Bound states in one dimension) is a tool for exploring
the energy eigenfunctions for an electron in various potential
wells, which can be square, parabolic, ramped, asymmetric, double
or Coulombic. The eigenvalues can be found manually, by trial and
error or computed automatically. Then the program looks at properties
of eigenfunctions, normalisation, orthogonality, and the evaluation
of many kinds of overlap integrals. Finally, time evolution of superpostions
of eigenstates can be investigated.
SCATTR1D (Scattering in One Dimension) solves the time independent
Schroedinger equation for stationary scattering states in one dimensional
potentials. Transmitted and reflected waves can then be displayed,
and transmission properties as a function of energy studied.
QMTIME (Quantum Mechanical Time Development in 1-D) A variety of
initial wave packets (Gaussian, Lorentzian etc) can evolve under
the influence of a number of potential energy functions (step, ramp,
square well, harmonic oscillator etc) with or without external driving
force. Position-space or momentum-space wave functions can be shown.
LATCE1D
(Wavefunctions in a one-dimensional lattice) is a tool which allows
you to explore energy eigenfunctions for an electron in a lattice
made up of a number of simple potential wells which can be square,
parabolic or coulombic. Regular lattices can be used to illustrate
the band properties of electron in crystals then the parameters
of any of the wells can be varied to show the effects of crystal
defects. Finally an external field can be applied across the lattice.
BOUND3D
(Bound states in three dimensions) is a tool which allows you to
explore eigenfunctions of electrons in various spherically symmetric
potential wells important in atomic and nuclear physics. Normalization,
orthogonality and overlap integrals of the wave functions can then
examined.
IDENT (Identical Particles in Quantum Mechanics) shows probabilities
associated with the wave functions of two non-interacting particles
with various symmetries in a one-dimensional square well.
SCATTR3D (Scattering in Three-Dimensions) performs particle-wave
analysis of scattering from a spherically symmetric potential well
calculating radial and 3-D wavefunctions as well as phase shifts
and cross-sections.
CYLSYM (Cylindrically Symmetrical Potentials) solves the time-independent
Schroedinger equation in the case of cylindrically symmetric potentials
for the lowest state of a chosen parity and magic number.
Subject Area Quantum
(Browse other titles in this subject area)
Project:
CUPS ( Go to more information on this project)
Price band: £20-50
Publication Date: 1995
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Phil Barker
Information Dated 02/08/95
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