Moving Point Interactions

Gianfausto Dell’Antonio
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Gianfausto Dell’Antonio: Univ. di Roma I, Dip. di Matematica

A chapter in Applied and Industrial Mathematics, Venice—2, 1998, 2000, pp 59-73 from Springer

Abstract: Abstract We consider the problem of a quantum mechanical particle in R 3 interacting with N point sources which move on preassigned smooth paths. We prove that this problem has a unique weak solution, and we provide for it an explicit representation. Moreover we show that the corresponding flow is unitary.

Keywords: Evolution Operator; Point Interaction; Quantum Particle; Volterra Integral Equation; Form Domain (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-4193-2_4

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DOI: 10.1007/978-94-011-4193-2_4

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