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SUPERSELLE

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Superselle might refer to
In quantum mechanics, superselection extends the concept of selection rules.
* Superselection rules are postulated rules forbidding the preparation of quantum states that exhibit coherence between eigenstates of certain observables.
* It was originally introduced by Wick, Wightman, and Wigner to impose additional restrictions to quantum theory beyond those of selection rules.
* Mathematically speaking, two quantum states
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* ψ
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* 1
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* {\displaystyle \psi _{1}}
* and
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* {\displaystyle \psi _{2}}
* are separated by a selection rule if
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* H
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* {\displaystyle \langle \psi _{1}|H|\psi _{2}\rangle =0}
* for any given Hamiltonian
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* H
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* {\displaystyle H}
* , while they are separated by a superselection rule if
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* A
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* {\displaystyle \langle \psi _{1}|A|\psi _{2}\rangle =0}
* for all physical observables
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* A
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* {\displaystyle A}
* .
* A superselection sector is a concept used in quantum mechanics when a representation of a *-algebra is decomposed into irreducible components. It formalizes the idea that not all self-adjoint operators are observables because the relative phase of a superposition of nonzero states from different irreducible components is not observable (the expectation values of the observables can't distinguish between them).

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