Quantum Mechanics Solution Manual
© Leon van Dommelen
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7.1 The Schrödinger Equation
7
. Time Evolution
Subsections
7
.
1
The Schrödinger Equation
7
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1
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1
The equation
7
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1
.
2
Solution of the equation
7
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1
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2
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1
Solution schrodsol-a
7
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1
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2
.
2
Solution schrodsol-b
7
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1
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2
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3
Solution schrodsol-c
7
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1
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3
Energy conservation
7
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1
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4
Stationary states
7
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1
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5
The adiabatic approximation
7
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2
Time Variation of Expectation Values
7
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2
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1
Newtonian motion
7
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2
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2
Energy-time uncertainty relation
7
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3
Conservation Laws and Symmetries
7
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4
Conservation Laws in Emission
7
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4
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1
Conservation of energy
7
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4
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2
Combining angular momenta and parities
7
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4
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3
Transition types and their photons
7
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4
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4
Selection rules
7
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5
Symmetric Two-State Systems
7
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5
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1
A graphical example
7
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5
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2
Particle exchange and forces
7
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5
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3
Spontaneous emission
7
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6
Asymmetric Two-State Systems
7
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6
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1
Spontaneous emission revisited
7
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7
Absorption and Stimulated Emission
7
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7
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1
The Hamiltonian
7
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7
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2
The two-state model
7
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8
General Interaction with Radiation
7
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9
Position and Linear Momentum
7
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9
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1
The position eigenfunction
7
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9
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2
The linear momentum eigenfunction
7
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10
Wave Packets
7
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10
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1
Solution of the Schrödinger equation.
7
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10
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2
Component wave solutions
7
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10
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3
Wave packets
7
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10
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4
Group velocity
7
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10
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5
Electron motion through crystals
7
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11
Almost Classical Motion
7
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11
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1
Motion through free space
7
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11
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2
Accelerated motion
7
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11
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3
Decelerated motion
7
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11
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4
The harmonic oscillator
7
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12
Scattering
7
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12
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1
Partial reflection
7
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12
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2
Tunneling
7
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13
Reflection and Transmission Coefficients
Next:
7.1 The Schrödinger Equation
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