Definition:Schrödinger's Equation/Time Independent
< Definition:Schrödinger's Equation(Redirected from Definition:Schrödinger Wave Equation/Time Independent)
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Definition
- $-\dfrac {\hbar^2} {2 m} \nabla^2 \psi + V \psi = E \psi$
where:
- $\psi$ is the wave function whose nature is to be determined
- $V$ denotes the potential energy (usually positional)
- $E$ denotes the total energy of the system
- $m$ denotes the mass of the particle whose motion is described by $\psi$
- $\hbar$ is Planck's reduced constant:
- $\hbar = \dfrac h {2 \pi}$
Also known as
Schrödinger's equation can be seen referred to as Schrödinger's wave equation by some authors.
Also see
- Results about Schrödinger's equation can be found here.
Source of Name
This entry was named for Erwin Rudolf Josef Alexander Schrödinger.
Sources
- 1970: George Arfken: Mathematical Methods for Physicists (2nd ed.) ... (previous) ... (next): Introduction: Quantum Mechanics