Schrodinger Equation: Difference between revisions
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In the | In the Schrödinger picture, the equation governing quantum mechanical evolution of some state <math>\Psi</math> in the relevant Hilbert space is given by <math>i\hbar\partial_t\Psi = \hat{H}\Psi</math>, where <math>\hat{H}</math> is the linear operator representing the Hamiltonian, usually of the form <math>-\frac{\hbar^2}{2m}\Delta + V</math> where <math>\Delta</math> is the relevant Laplace(-Beltrami) operator. | ||
Latest revision as of 13:32, 21 April 2018
In the Schrödinger picture, the equation governing quantum mechanical evolution of some state 
in the relevant Hilbert space is given by 
, where 
is the linear operator representing the Hamiltonian, usually of the form 
where 
is the relevant Laplace(-Beltrami) operator.
