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authorThomas Albers Raviola <thomas@thomaslabs.org>2024-08-23 12:28:25 +0200
committerThomas Albers Raviola <thomas@thomaslabs.org>2024-08-23 12:28:25 +0200
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*****************
Schrodinger Solve
*****************
+
+Solves the one-dimensional, time independent Schroedinger's equation for a given
+system and generates files with the energies, potential, wave functions and
+expectation value of the position of the particles. schrodinger_solve takes a
+file describing the parameters to use and the potential (see below for file
+format).
+
+**Usage**
+::
+
+ schrodinger_solve [-h] [-o OUTPUT_DIR] filename
+
+**Command line options**
+::
+
+ positional arguments:
+ filename File describing the system to solve
+
+ options:
+ -h, --help show this help message and exit
+ -o OUTPUT_DIR, --output-dir OUTPUT_DIR
+ Output directory for the results
+
+
+**Input file format**
+
+The input file format consist of a five line header followed by a csv style, two
+column table describing the potential. Lines in the header that specify multiple
+parameters are separated by whitespace characters (tab or space). Parameters
+must be given in a fixed order. Comments discard the rest of the line and
+may be added with a ``#`` character. An empty line is discarded and the next
+non-empty line specifies the next parameter. A concrete example is given below.
+::
+
+ <mass>
+ <x-min> <x-max> <n-points>
+ <first-eigenvalue> <last-eigenvalue>
+ <interpolation-type>
+ <n>
+ <x1> <y1>
+ <x2> <y2>
+ ...
+ <xn> <yn>
+
+- mass: (real) Mass of the particle
+- x-min, x-max: (real) Solution interval
+- n-points: (integer) Number of points in the discretization of the solution
+ interval
+- first-eigenvalue, last-eigenvalue: (integer) Interval of energy eigenvalues to
+ generate
+
+Further examples can be found in the subfolders inside ``test``