A continuum analogue of the lattice gas |
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Authors: | R F Streater |
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Institution: | (1) Mathematics Department, Bedford College, Regents Park, N.W. 1 London |
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Abstract: | We construct a Hilbert space , spanned by vectors
, where
is a bounded measurable set in v ( =dimension of space), and interpret
as at state where all pointsx
are occupied by an incompressible fluid, andx
unoccupied. is generated by applying unitary filling operators U(
) to a cyclic vector |![phgr](/content/tm757hk01251512g/xxlarge966.gif) , the completely unoccupied state. The operatorsU(
) generate a commutativec*-algebra, of which the hermitian elements are interpreted as the observables of the theory.All the -divisible representations of the symmetric group of order 2 are found. We give a generalization to a theory with any number of particle types. |
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Keywords: | |
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