SI Units Used In Quantum Mechanics and Quantum Chemistry

Physical QuantityPhysical Quantity SymbolMathematical FormulaSI Unit of Physical Quantity
Momentum Operator\widehat{p}\widehat{p}=-\mathrm{i} \hbar \nablaJ s m-1
Kinetic Energy Operator\widehat{T}\widehat{T}=-\left(\hbar^{2} / 2 m\right) \nabla^{2}J
Hamiltonian Operator\widehat{H}\widehat{H}=\widehat{T}+\hat{V}J
Wavefunction\Psi, \psi, \phi\widehat{H} \psi=E \psim-3/2
Spherical Harmonic FunctionY_{l m}(\theta, \phi)Y_{l m}=N_{l|m|} P_{l}^{|m|}(\cos \theta) e^{\mathrm{i} m \phi}
Probability DensityPP=\psi^{*} \psim-3
Charge Density of Electrons\rho\rho=-e PC m-3
Electric Current Density of Electronsjj = -eSA m-2
Integration Element\mathrm{d} \tau\mathrm{d} \tau=\mathrm{d} x \mathrm{~d} y \mathrm{~d} z

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