CTI Physics Resource Guide

Quantum Mechanics Simulations

Description

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


Further Information Available

External WWW page Follow this link.
Full version of description given in Chapter 1 of CUPS book.


Hardware Requirements

Platform: PC
Operating System: DOS
RAM: 640kB
Peripherals: 386 (min) maths copro

Contact Details

Author(s):
J Hiller
I Johnston
D Styer
Publisher:
John Wiley
Contact:
John Wiley
John Wiley and Sons, Ltd
Baffins Lane
Chichester
Sussex
PO19 1UD

Phone: 01243 779 777
Fax: 01243 775 878
Email: college@wiley.co.uk
WWW: http://www.wiley.co.uk

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