Solution of the Schodinger Eqation for Harmonic Oscillator Confined in Potential well (Dirichlet's Condition on both boundaries).

• Shifted Inverse Power routine is used to find eigen values
• Tridiagonal Optimized
• Trapezoid integration is used to normalize wavefunctions.
• Benchmark using Scipy.special.Hermit Polynomials.

v3.0

• To implement tracking eigen values in the shifted power routine for better visual aesthetic.

DONE -

• Gif created for visualising the confinement
• Optimised (Vectorization in solver.py)
• Tridiagonal optimisation completed
• Normalized the eigen state using trapezium integration
• Added Hermite poly for comparison.

=====================================

v2.1

• Plot for part 3 of question

DONE -

• Optimised (Vectorization in solver.py)
• Tridiagonal optimisation completed
• Normalized the eigen state using trapezium integration
• Added Hermite poly for comparison.

=====================================

v2.0

• To optimise and Plot for part 3 of question

DONE -

• Tridiagonal optimisation completed
• Normalized the eigen state using trapezium integration
• Added Hermite poly for comparison.

=====================================

v1.0

• To add hermit benchmark

DONE

• Tridiagonal Optimized STARTED
• List comprehension and vectorized