QM - Exact solutions to the SE Flashcards
1
Q
Describe and state examples of a harmonic oscillator
A
- A pendulum
- Vibrating spring
A harmonic oscillator occurs when a system experiences a restoring force proportional to the displacement from eqilibrium
2
Q
Draw a one-dimensional harmonic oscillator and derive the Hamiltonian
A
3
Q
Describe the total energy E
A
E is constant as it is an eigenvalue. As it is constant it must be independent from x
4
Q
State how to transform cartesian coordinates into spherical coordinates
A
5
Q
Draw the first four wavefunctions for a harmonic oscillator and their associated probabilities
A
6
Q
Describe the eigenvalue of the ground state
A
E0 =/= 0 is called thr zero point energy. It is not equal to zero as molecules are always vibrating
7
Q
Revise particle in a box!
A
8
Q
A
