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・ Position analysis questionnaire
・ Position and momentum space
・ Position angle
・ Position circle
・ Position Correction
・ Position effect
・ Position error
・ Position fixing
・ Position Ignition
・ Position line
・ Position of Lebanon in the 2006 Lebanon War
・ Position of the arms in ballet
・ Position of the media on the Armenian Genocide
・ Position of the Sun
・ Position of trust
Position operator
・ Position paper
・ Position player
・ Position resection
・ Position sensitive device
・ Position sensor
・ Position tolerance
・ Position weight matrix
・ Position-effect variegation
・ Position-independent code
・ Position-sensing hydraulic cylinder
・ Positional advantage
・ Positional alcohol nystagmus
・ Positional asphyxia
・ Positional game


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Position operator : ウィキペディア英語版
Position operator
In quantum mechanics, the position operator is the operator that corresponds to the position observable of a particle. The eigenvalue of the operator is the position vector of the particle.
==Introduction==

In one dimension, the square modulus of the wave function, |\psi|^2 = \psi^
* \psi , represents the probability density of finding the particle at position x . Hence the expected value of a measurement of the position of the particle is
: \langle x \rangle = \int_^ x |\psi|^2 dx = \int_^ \psi^
* x \psi dx
Accordingly, the quantum mechanical operator corresponding to position is \hat , where
: \hat \psi(x) = x\psi(x)
The circumflex over the x on the left side indicates an operator, so that this equation may be read ''The result of the operator x acting on any function ψ(x) equals x multiplied by ψ(x).'' Or more simply, ''the operator x multiplies any function ψ(x) by x.''

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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