Wavefunction

Wavefunction in position space

For a system in which position is the only degree of freedom, we may choose eigenfunctions of the position operator as a basis. Thus is a wavefunction in position space. The Hamiltonian operator may then be represented as

wherefore the Schrödinger equation becomes

See also

• QM in 1D position-space
• QM in 3D position-space

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