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Portable Eigenmath 137 Free Download

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eigenmath

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

Example Script: quantum harmonic oscillator
# “Harmonic oscillator” is the generic term for a system that has potential

# 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
Download
Download Link: Eigenmath 137 for Windows
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Version:137
Alternative Link: Eigenmath 137 for Windows

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2 Responses to “Portable Eigenmath 137 Free Download”


JM January 31, 2010

I am still confused with the syntax of this program, I am still determined using matlab as a mathematical program



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