Abstract
Formulation of von Neuman’s extension theory in terms of boundary forms is given and equivalence of this theory to the variational principle for some action functional is proved. It is shown that the way in which one treats U(1)-invariance of this action selects aselfadjoint extensions and the corresponding Noether’s invariant coincides with the boundary form.
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References
B.S.Pavlov, The Theory of Extensions and an Explicitly Solvable Model, Sov. Math. Surveys 42 (1987), 127–168.
B.S. DeWitt, Dynamical Theory of Groups and Fields. Gordon and Breach, New York 1965.
Yu.A. Kuperin, K.A. Makarov, S.P. Merkuriev, A.K. Motovilov, B.S. Pavlov, Teor. Mat. Fiz. 75 (1986) 431; ibid 76 (1988) 242.
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© 1990 Birkhäuser Verlag Basel
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Kuperin, Y.A., Yarevsky, E.A. (1990). Currents and the Extensions Theory. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_24
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DOI: https://doi.org/10.1007/978-3-0348-7306-2_24
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7308-6
Online ISBN: 978-3-0348-7306-2
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