Review Questions
© Leon van Dommelen
To:
2.1 The Revised Picture of Nature
2
. Basic Ideas of Quantum Mechanics
Subsections
2
.
1
The Revised Picture of Nature
2
.
2
The Heisenberg Uncertainty Principle
2
.
3
The Operators of Quantum Mechanics
2
.
4
The Orthodox Statistical Interpretation
2
.
4
.
1
Only eigenvalues
2
.
4
.
2
Statistical selection
2
.
5
A Particle Confined Inside a Pipe
2
.
5
.
1
The physical system
2
.
5
.
2
Mathematical notations
2
.
5
.
3
The Hamiltonian
2
.
5
.
4
The Hamiltonian eigenvalue problem
2
.
5
.
5
All solutions of the eigenvalue problem
2
.
5
.
6
Discussion of the energy values
2
.
5
.
7
Discussion of the eigenfunctions
2
.
5
.
8
Three-dimensional solution
2
.
5
.
9
Quantum confinement
2
.
6
The Harmonic Oscillator
2
.
6
.
1
The Hamiltonian
2
.
6
.
2
Solution using separation of variables
2
.
6
.
3
Discussion of the eigenvalues
2
.
6
.
4
Discussion of the eigenfunctions
2
.
6
.
5
Degeneracy
2
.
6
.
6
Non-eigenstates
To:
2.1 The Revised Picture of Nature
FAMU-FSU College of Engineering
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