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| {{Orphan|date=February 2009}}
| | Greetings! I am Myrtle Shroyer. He is really fond of performing ceramics but he is struggling to discover time for it. California is our birth location. For years he's been working as a receptionist.<br><br>Take a look at my web blog - [http://Wmazowiecku.pl/stay-yeast-infection-free-using-these-helpful-suggestions/ wmazowiecku.pl] |
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| In [[theoretical physics]], a '''constraint algebra''' is a linear space of all [[Constraint (mathematics)|constraint]]s and all of their polynomial functions or functionals whose action on the physical vectors of the [[Hilbert space]] should be equal to zero.
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| For example, in electromagnetism, the equation for the [[Gauss' law]]
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| :<math>\nabla\cdot \vec E = \rho</math>
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| is an equation of motion that does not include any time derivatives. This is why it is counted as a constraint, not a dynamical equation of motion. In [[quantum electrodynamics]], one first constructs a Hilbert space in which Gauss' law does not hold automatically. The true Hilbert space of physical states is constructed as a subspace of the original Hilbert space of vectors that satisfy
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| :<math>(\nabla\cdot \vec E(x) - \rho(x)) |\psi\rangle = 0.</math>
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| In more general theories, the constraint algebra may be a [[noncommutative algebra]].
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| == See also ==
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| *[[First class constraints]]
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| [[Category:Quantum mechanics]]
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| [[Category:Quantum field theory]]
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| {{phys-stub}}
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Latest revision as of 11:37, 7 January 2015
Greetings! I am Myrtle Shroyer. He is really fond of performing ceramics but he is struggling to discover time for it. California is our birth location. For years he's been working as a receptionist.
Take a look at my web blog - wmazowiecku.pl