Quantum Mechanics
9 Ladder operators
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Notes
1
Introduction
2
Concepts from classical mechanics
3
The Schrödinger equation
4
Bound states of the square well
5
Infinite well
6
Scattering from potential steps and square barriers, etc.
7
The Harmonic oscillator
8
The formalism underlying QM
9
Ladder operators
10
Time dependent wave functions
11
3D Schrödinger equation
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Chapter 9
Ladder operators
9.1
Harmonic oscillators
9.2
The operators
ˆ
a
and
ˆ
a
†
.
9.3
Eigenfunctions of
ˆ
H
through ladder operations
9.4
Normalisation and Hermitean conjugates
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