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Quantum Mechanics Formulas
Browse 0 reviewed quantum mechanics formulas with concrete inputs, outputs, calculations, applicability checks, and LaTeX.
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Quantum Mechanics
Heisenberg Uncertainty Principle
\sigma_x\sigma_p\ge\frac{\hbar}{2}Bounds simultaneous position and momentum uncertainty.
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Heisenberg Uncertainty Relation
\sigma_x\sigma_p\ge\frac{\hbar}{2}Bounds the product of position and momentum standard deviations.
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Operator Commutator
[A,B]=AB-BAMeasures the failure of two operators to commute.
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Planck Relation
E=\hbar\omegaRelates energy to angular frequency.
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Time-Dependent Schrödinger Equation
i\hbar\frac{\partial}{\partial t}|\psi(t)\rangle=\hat H|\psi(t)\rangleDescribes the time evolution of a quantum state under a Hamiltonian.
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Time-Dependent Schrödinger Equation
i\hbar\frac{\partial}{\partial t}\Psi=\hat H\PsiDescribes unitary time evolution of a quantum state.
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