EngT 503 Winter 2005
Chapter 14
Mathematical Problems of Quantum Mechanics
Review of the previous problems:
1) particle in a box (potential of the infintely deep well);
2) free particle in the space (zero potential everywhere);
3) parabolic potential of the harmonic oscillator (Hook's Law),
comparison to potential of diatomic molecules (Morse potential)

Probability density distribution of the Gaussian wave packet for
deep potential weel:

free particle:


Schrodinger's Equation with the potential of harmonic oscillator:










Probability density distribution of the Gaussian wave packet for
harmonic oscillator:



Hydrogen Atom: