WELCOME TO SCHRODINGER!SCHRODINGER is a set of MATLAB files
which provide moderately accurate numerical solutions of a number
of standard problems familiar from many introductory texts on
Quantum Mechanics. They give the student aninteractive access to
the solutions with graphical display of the results.This is not a
substitute for a textbook, it is a device for solving standard
types of problems with a speed which will allow an interactive
study of the effect of changes of the parameters. The algorithms
arechosen for simplicity and speed, not optimal accuracy or
stability. Calculations using matrix arguments, one of the key
features of MATLAB, isused wherever possible for maximal speed.
There is a short manual in postscript form which gives some
comments onthe quantum mechanical problems and on the algorithms,
and a list ofreferences. The documentation for each problem is
rudimentary, but I have tried to give literature references when
this is possible. I havealso tried to set defaults for most
variable parameters. In other placesthe user has to guess on the
basis the uncertainty relation and thespectrum of a square well.
There is also some help in the M-files.The correctness and accuracy
of the algorithms defined in the M-filesshould not be taken for
granted. You are welcome to improve on them,especially if you will
share the results. The choice of conventions (inthe special
functions, for instance) most often conforms to that used
inMessiah, Quantum Mechanics. Throughout we have set hbar = mass =
1. The files should run on any computer with the MATLAB 5 program
installedand a graphical interface. Almost everything should be
compatible withMATLAB 4.2. Schrodinger has been tested on a
PowerMac 7600/120and on a PC running Linux. The speed of solution
evidently depends on the platform, but it can be adapted to your
computer through the choice of the number of latticepoints and
basis functions, by editing the M-files if necessary. The
timeneeded for most of the solutions are intended to be at most a
few tens ofseconds on a PowerMac or PC.You can start the session by
executing the file , then makingchoices pressing buttons, in menus
or in the command window. Shortdescriptions of the M-files are
given in the file . You can also use the help function.You may have
problems with the size of the default for font size, figurewindow
size. CHOOSE YOUR DEFAULTS in your startup.m file, or in start.m,to
get a window of a suitable size and position, and text of a size
whichwill fit in the window, egrect = [70 215 565
573];set(0,'defaultfigureposition',rect);set(0,'defaultaxesfontsize',12);set(0,'defaulttextfontsize',12);You
may also have to set the fontsize in , and in the buttons.The
address of the home page of schrodinger is
http://www.theophys.kth.se/mathphys/schrodinger.html---------------------------------------------------------------------------%%%
Gran Lindblad 1999 - [email protected]
