### Schrödinger equation

(quantum-mechanical wave-equation-like equation)

The **Schrödinger equation** is a **wave-equation**-like
partial differential equation (PDE) that defines the form of a function (**wave function**)
capable of describing the quantum-mechanical characteristics
of a particle or system of particles.
Classical mechanics, which deals with "everyday" waves such as
sound waves, offers associated *wave functions* which fit a
somewhat similar PDE termed the (classical) **wave equation**.
The Schrödinger equation is not quite identical to
the classical wave equation, e.g., its inclusion of
the term *i* (square root of minus 1)
which implies a wave function of complex numbers.
The values of the wave functions it defines map space and time to
quantum mechanical amplitudes, i.e., the square root
of probabilities of something occurring at that point in space
and time.

Quantum mechanical calculation using the
*Schrödinger equation* is termed **wave mechanics**,
whereas an alternative technique using matrix mathematics is termed
**matrix mechanics**.

(*physics,gravity,quantum mechanics*)
**Further reading:**

http://en.wikipedia.org/wiki/Schrödinger_equation

http://en.wikipedia.org/wiki/Matrix_mechanics

http://physics.mq.edu.au/~jcresser/Phys201/WaveMechanicsLectureSlides.pdf

**Referenced by pages:**

Schrödinger-Poisson equation

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