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Portable Eigenmath 137 Free Download
January 30, 2010 | Posted by admin
Eigenmath is a free, easy to use, no installation, multiplatform computer algebra system, written in the C programming language.
It facilitates the manipulation of mathematical expressions in symbolic form. For example, it can assist in solving algebra and calculus problems. The application includes a great deal of math functions.
This application eases the use if mathematical expressions in symbolic form, eligible for students in college and university.
For example script, quantum harmonic oscillator
# energy V proportional to x squared.
#
# For total energy E, kinetic energy K and potential energy V we have
#
# E = K + V
#
# For QHO the equivalent Schroedinger equation is:
#
# 2 2 2
# (2n + 1) psi = -d psi / dx + x psi
#
# This differential equation can only be solved for integer values of n.
# The fact that n must be an integer is in agreement with physical reality:
# the total energy of a QHO system is quantized.
#
# The solution to the above equation is
#
# 2
# psi(n,x) = exp(-1/2 x ) H (x)
# n
#
# H (x) is the nth Hermite polynomial in x.
# n
# Define the wave function.
psi(n) = exp(-1/2 x^2) hermite(x,n)
# We want to show that psi does indeed solve the Schroedinger equation.
# We start by defining the energy functions E, K and V.
E(n) = (2 n + 1) psi(n)
K(n) = -d(d(psi(n),x),x)
V(n) = x^2 psi(n)
# Text strings are displayed when the script runs.
“Checking E = K + V for n = 0 to 10″
# The check function stops with an error message if its argument is false.
for(n, 0, 10, check(E(n) = K(n) + V(n)))
# If we get here then everything worked out, print OK.
“OK”
# After a script runs, all of its functions and variables are available for
# immediate mode calculations.
# For example, try entering K(10).
Another example scripts:
- hydrogen wavefunctions
- gamma matrix algebra
- free particle dirac equation
- maxwell in tensor form
- static spherical metric
- bondi metric
- circular polarization
- elliptical polarization
- vector calculus demo
- rotation matrix demo
The application eases the use if mathematical expressions in symbolic form
Version: 137Tag: education software, math software
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Categories: Education, Portable Application | 
2 Comments »
I am still confused with the syntax of this program, I am still determined using matlab as a mathematical program