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Definitions
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Quantum Harmonic Oscillator
May 03, 2024
1 min read
quantum-mechanics
System described by the
Hamiltonian
H
=
∑
i
=
0
n
2
m
P
i
+
2
1
m
ω
i
X
i
2
.
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Latest edits
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Pauli matrices are involuntory
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Pauli matrices are unitary
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Pauli matrices have determinant -1
❯
Pauli matrices have trace 0
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Plancherel Theorem
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Position and momentum operators are canonical conjugates
❯
Positive operators have a unique positive square root
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Quantum states' inner product is time independent
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Separable Hamiltonians evolve independently
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Spectral theorem