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SUMMARY:Benjamin Alvarez: Spectral Analysis of a soft quantum waveguide co
 upled to a quantum scalar field
DTSTART:20260609T083000Z
DTEND:20260609T093000Z
DTSTAMP:20260614T002800Z
UID:indico-event-15830@indico.math.cnrs.fr
DESCRIPTION:\nQuantum waveguide and quantum field theory are two popular t
 opics in mathematical physics. Both are important from a theoritcal point 
 of view and have significant applications\, such as optical fiber for quan
 tum waveguides or positron emission tomography for quantum field theory. H
 owever\, relatively few works investigate quantum field theory in waveguid
 es. We believe that is an interesting direction to explore for a better un
 durstanding of physics and mathematics. For example\, the study of two pla
 tes coupled with QED models leads to the so-called Casimir effect\, widely
  discussed in the littérature\nIn this talk we consider a simple model in
  which a quantum particle is confined in a soft waveguide and interacts wi
 th a scalar field. The field does not interact with the waveguide. This sy
 stem is modelled by a self-adjoint Hamiltonian for which we discuss the sp
 ectrum and derive binding conditions that guarentee the existance of a gro
 und state\nThis is a joint work with Hugo Gouttenègre\, with the support 
 of Jean-Marie Barbaroux and Philippe Briet\n\n\nhttps://indico.math.cnrs.f
 r/event/15830/
URL:https://indico.math.cnrs.fr/event/15830/
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