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Type: Artigo de periódico
Abstract: The Weyl representation of an operator A is a function A(x) in phase space. It is shown that a product A1...A2n is represented by an integral over all (2n + 1)-sided polygons where the midpoint of one side is centred on x and the other midpoints take on the values A1(x1),...,A2n(x2n). This leads to a new path integral for U(t) = exp(-iHBAR-1Ht) in the Weyl representation: U(x) is an integral over all the paths whose endpoints form a chord with x as its midpoint. No restriction is imposed on the form of the hamiltonian. Equivalence with previous path integrals generalizes these by substituting the Weyl hamiltonian for the classical hamiltonian when the latter does not have the simple form p2/2 + V(q).
Country: Inglaterra
Editor: Royal Soc London
Rights: fechado
Identifier DOI: 10.1098/rspa.1992.0139
Date Issue: 1992
Appears in Collections:Unicamp - Artigos e Outros Documentos

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