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Mathematical challenges of zero-range Physics:
rigorous results and open problems


international workshop
sponsored by a research-in-residence fellowship
at the Center for Advanced Studies of LMU Munich


26-28 February 2014

Center for Advanced Studies
Seestraße 13, 80802 Munich




Themes of the meeting:
  • few-body and many-body "unitary" gases, 
  • role of delta-type boundary conditions in the effective dynamics on shrinking wave guides,
  • effect of zero-energy resonances in the construction of zero-range self-adjoint Hamiltonians, 
  • rigorous definition of delta interactions on submanifolds and graphs, 
  • stability/instability of zero-range Hamiltonians ("Thomas effect")
    and their spectral and scattering properties (bound states, Efimov spectrum, scattering states), 
  • control of self-adjoint extensions of formal (i.e. only symmetric) zero-range Hamiltonians, 
  • effective models of quantum environments involving point interactions, 
  • latest developments in the numerics and the experiments of the zero-range Physics.

Speakers:


Info for the speakers:
  • All speakers will be accommodated at the Hotel Biederstein.
  • Directions from the hotel to the CAS (600 m).
  • Directions from Münchener Freiheit (the closest underground station) to the hotel (800 m).
  • Munich suburbian+underground and tram network; info and tickets.
  • From the airport to the hotel / to the CAS:
    • underground line S1 up to Moosach, then undeground line U3 up to Münchener Freiheit,
    • or underground line S8 up to Marienplatz, then undeground line U3 or U6 up to Münchener Freiheit.
  • From the train central station to the hotel / to the CAS:
    • any underground among S1,S2,S3,S4,S6,S7,S8 up to Marienplatz, then undeground line U3 or U6 up to Münchener Freiheit
    • or undeground line U4 or U5 up to Odeonsplatz, then undeground line U3 or U6 up to Münchener Freiheit.
  • Munich weather forecasts.
  • Workshop dinner on Thursday 27 February at 8 pm at the Weienbauer Mũnchen (400 m from the CAS: directions).


Programme:

Wed 26

15:15 opening

15:30-16:15
A. Posilicano
Non-linear maximal monotone extensions of symmetric operators

16:30-17:00
coffee break


17:00-17:45
A. K. Motovilov
Three body systems with delta interactions with internal degrees of freedom

18:00-18:45
R. Figari
Spin-dependent point interactions used in models of quantum environments
Thu 27
9:30-10:15
F. Werner

Few-body and many-body physics with zero-range interactions: theory and experiments with ultra-cold atomic gases - Part I

10:30-11:00
coffee break

11:00-11:45
F. Werner
Part II

12:00-13:00
round table I
(A. Teta moderator)
15:30-16:15
D. Finco

Two fermions and a test particle: a detailed analysis.

16:30-17:00
coffee break

17:00-17:45
S. Albeverio
Some remarks on spectral properties of Schrödinger operators with (many) concentric δ-shells and related topics

18:00-18:45
J. Behrndt
Spectral properties of Schrödinger operators with singular interactions on Lipschitz surfaces

Fri 28
9:30-10:15
C. Cacciapuoti

Effective dynamics for shrinking waveguides

10:30-11:00
coffee break

11:00-11:45
D. Noja
Non-linear Schrödinger equation and point interactions:  localised defects and concentrated nonlinearities

12:00-12:45
R. Carlone
Spectral theory of Gesztesy-Šeba realisations of 1D Dirac operators with point interactions
15:15-16:45
round table II
(S. Albeverio and G. Dell'Antonio moderators)

16:45 closing





Techincal support for the talks:
  • The meeting room will be equipped with laptop and beamer for projecting slides,
  • and two flip charts / whiteboards, together with markers of various colours and all the needed amount of paper sheets.
  • Additionally, we have the possibility to scan handwritten overhead transparencies into pdf format so to be projected with the beamer.


IT support:
  • All the CAS premises are covered with the EDUROAM wireless network, for which you only need your own eduroam credentials from your home institution.
  • A few workstations will be also available, as well as a few desks with network cables for laptops.
  • Usual printer and photocopier facilities also available.


Info @:


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