Psi

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The letter psi is commonly used in [[physics]] for representing a [[wavefunction]] in [[quantum mechanics]], particularly with the [[Schrödinger equation]] and [[bra-ket notation]]: <math>\langle\phi|\psi\rangle</math>.  It is also used to represent the (generalized) positional states of a [[qubit]] in a [[quantum computer]].
The letter psi is commonly used in [[physics]] for representing a [[wavefunction]] in [[quantum mechanics]], particularly with the [[Schrödinger equation]] and [[bra-ket notation]]: <math>\langle\phi|\psi\rangle</math>.  It is also used to represent the (generalized) positional states of a [[qubit]] in a [[quantum computer]].
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Psi is also used as the symbol for the [[polygamma function]], defined by
 
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:<math> \psi_n(x) = \frac{d^{(n)}}{dx^{(n)}}\frac{\Gamma '(x)}{\Gamma (x)}\,\!</math>
 
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where <math>\Gamma (x)</math> is the [[gamma function]].
 
The letters Ψ or ψ can also be a symbol for:
The letters Ψ or ψ can also be a symbol for:

Revision as of 08:20, 16 January 2010

Psi (uppercase Ψ, lowercase ψ; pronounced in English as sigh) is the 23rd letter of the Greek alphabet and has a numeric value of 700. In both Classical and Modern Greek, the letter indicates the combination /ps/ (like in English "lapse"). The letter was adopted into the Old Italic alphabet, and its shape is continued into the Algiz rune of the Elder Futhark. Psi was also adopted into the early Cyrillic alphabet as Ѱ. In Greek loanwords in Latin and modern languages with Latin alphabets, Psi is usually transliterated as "ps". In English, due to phonotactic constraints, its pronunciation is usually simplified to /s/.

The letter psi is commonly used in physics for representing a wavefunction in quantum mechanics, particularly with the Schrödinger equation and bra-ket notation: <math>\langle\phi|\psi\rangle</math>. It is also used to represent the (generalized) positional states of a qubit in a quantum computer.

The letters Ψ or ψ can also be a symbol for:

See also

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