Quantum Mechanics Index

(alphabetized)

• A Postulate Or Two Or Six
• Bloche Sphere
• Bohr Frequency
• Braket
• Commutator
• Compatible
• Density Matrix
• Ehrenfest Theorem
• Expectation Value
• Finite Potential Well
• Flunctation
• Hamiltonian
• Hermitian
• Hilbert Space
• Infinite Potential Well
• Ladder Operators
• Magnetic Resonance
• Mixed State
• Neutrino Oscillations
• Normalization
• Number Operator
• Observable
• Operator
• Phase Shift
• Projection
• Quantum Harmonic Oscillator
• Shrodingers Equation
• Spin Flip
• Spin System In A Magnetic Field
• Spin
• State
• Time Independent Hamiltonian
• Uncertainty Principle
• Unitary Transformations
• Wavefunction

• $|a|^2=|a^2|$ for all $a\in\mathbb{C}$.
• $|e^a|=\sqrt{e^ae^{\bar{a}}}$, for $a\in \mathbb{C}$ and $\bar{a}$ is the complex conjungate
• $e^{ix}+e^{-ix}=2\cos x$
• $\cos(x)=\text{Re}(e^{ix})$
• $\sin(x)=\text{Im}(e^{ix})$
• Let $z=a+bi$. $|z|=z^*z=|a+b|^2=|a|^2 +|b|^2 + \text{Re}(a^* b)$