Mathematical
Methods
of Quantum Mechanics
at the
Mathematical Physics Sector, Sissa
Members of
the research group - Gianfausto
Dell'Antonio
- Alessandro Michelangeli
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Main
external collaborators - Riccardo
Adami (Milano Bicocca)
- Sergio
Albeverio (Bonn)
- Michele
Correggi (SNS, Pisa)
- Domenico Finco (Roma
"La Sapienza")
- Rodolfo
Figari (Napoli "Federico II")
- Gianluca
Panati (Roma "La Sapienza")
- Luca Tenuta
(Tübingen)
- Sandro
Teta (L'Aquila)
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Research
topics
- Quantum mechanical description of a
system subject to points, lines and surfaces interactions
- Spectral analysis, properties of solutions, scattering.
- Multibody case.
- Time dependent case, in particular periodic.
- Exactly solvable models of ionization.
- Constrained systems and nano structures in Quantum
Mechanics.
- Spectra and limit equations on graphs.
- Large N limit in Quantum Mechanics
- Effective equations, existence and
properties of the solutions.
- Non-linear Schrödinger equation
- Phenomenon of ionization by a time-periodic potential: the
long time behaviour
- Mathematical study of the phenomenon known in Physics as
"decoherence"
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Joint
projects
- nanomath
Mathematical Modeling and Numerical Analysis of Quantum
Systems with Applications to Nanosciences
(I.N.d.A.M. project 2006-2007)
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Resources
and manuals
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Related
events
- MAQM
2007
Workshop "Multiscale Analysis for Quantum Systems"
Roma, October 24th - 26th, 2007
- IPS 2007
Workshop "Interacting particle systems. A classical, quantum
and stochastic perspective"
Milano "Bicocca", October 22nd - 23rd, 2007
- MMQM
2007
School and Workshop "Mathematical Methods in Quantum Mechanics"
Bressanone, February 26th - March 3rd, 2007
- NanoQ2006
Recent advances in the mathematical modeling and numerical
simulation of
nanoscale quantum semiconductor devices
Milano, November 30th - December 1st, 2006
- Boltzmann
Symposium
Atoms, Irreversibility and Entropy after 100 years: an
appraisal of
Boltzmann's ideas
München, Germany, October 11th-13th, 2006
- mpmMQ06
Metodi e problemi matematici in Meccanica Quantistica
Modena, Italy, October 5th-7th, 2006
- DS_CQS06
Dynamical Systems: Classical, Quantum and Stochastic
Roma, Italy, October 2nd-5th, 2006
- OTAMP 2006
Operator Theory, Analysis and Mathematical Physics
Lund, Sweden, June 15th-22nd, 2006
- BEC and QI
2005
Workshop on Bose-Einstein Condensation and Quantum Information
- E.S.I.
Wien, December 18th-20th, 2005
- Giornata
di
lavoro nanomath
Mathematical Modeling and Numerical Analysis of Quantum
Systems with Applications to Nanosciences
Firenze, December 16th, 2005
- MMQM 2005
School and Workshop "Mathematical Methods in Quantum Mechanics"
Bressanone, February 21st-26th, 2005
- OWR
2005
Oberwolfach Workshop "Entanglement and Decoherence:
Mathematics and Physics of
Quantum Information and Computation"
Oberwolfach, January 23rd-29th, 2005
- PMMQ 2003
Convegno Nazionale "Problemi Matematici in Meccanica
Quantistica"
Modena, December 18th-20th, 2003
- Schrödinger
2003
Workshop on Spectral Problems for Schrödinger-type
Operators
Trieste, March 11th-14th, 2003
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