Changes

<math>i\hbar\frac{\partial}{\partial t}|\Psi\rangle=\hat H|\Psi\rangle</math>

<math>i\hbar\frac{\partial}{\partial t}|\Psi\rangle=\hat H|\Psi\rangle</math>

where <math>i</math> is the [[complex number|imaginary unit]],<br><math>\hbar</math> is [[Planck's constant]] divided by <math>2\pi</math>, <br><math>|\Psi\rangle</math> is the quantum mechanical state or [[wavefunction]] (expressed here in [[Dirac notation]]), and <br><math>\hat H</math> is the [[Hamiltonian]] operator.   

where <math>i</math> is the [[complex number|imaginary unit]],<br><math>\hbar</math> is [[Planck's constant]] divided by <math>2\pi</math>, <br><math>|\Psi\rangle</math> is the quantum mechanical state or wavefunction (expressed here in [[Dirac notation]]), and <br><math>\hat H</math> is the [[Hamiltonian]] operator.   

The left side of the equation describes how the wavefunction changes with time; the right side is related to its energy. For the simplest case of a particle of mass m moving in a one-dimensional potential V(x), the Schrodinger equation can be written

The left side of the equation describes how the wavefunction changes with time; the right side is related to its energy. For the simplest case of a particle of mass m moving in a one-dimensional potential V(x), the Schrodinger equation can be written

where <math>\omega</math> is as above.

where <math>\omega</math> is as above.

[[Category:Physics]]

[[Category:Physics]]