Supersymmetric Quantum Mechanics and Spectral Design
2010, Jul 18 -- Jul 30
Organizers:
L. M. Nieto (U. Valladolid)
J. Negro (U. Valladolid)
A. Andrianov (U. Barcelona)
A. Smilga (SUBATECH, Nantes)
V. Hussin (U. Montréal)
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Monday, July 19
Tuesday, July 20
Wednesday, July 21
Thursday, July 22
Friday, July 23
Monday, July 26
Tuesday, July 27
Wednesday, July 28
Thursday, July 29
| Opening | |
| Jose Ignacio Latorre, Alexander Andrianov | |
| Supersymmetric quantum mechanics and Painleve IV equation | |
| David J. Fernandez | |
| Supersymmetrical separation of variables in 2-dim Quantum Mechanics | |
| Mikhail V. Ioffe | |
| First and second order SUSY transformations for singular potentials | |
| Manuel Gadella | |
| Numerical approach to SUSY quantum mechanics and gauge/gravity duality | |
| Masanori Hanada |
Tuesday, July 20
| Two-dimensional Morse potentials and quantum coherent and squeezed states | |
| Veronique Hussin | |
| Supersymmetric Quantum Mechanics and coupled-channel scattering problems | |
| Andrei M. Pupasov | |
| Spectrum generating algebra for free motion on S^3 | |
| G.Pronko | |
| Pseudo-bosons: mathematics and physical examples | |
| Fabio Bagarello |
Wednesday, July 21
| Complex Correspondence Principle | |
| Carl M. Bender | |
| Some properties of the complex Hamiltonian systems | |
| Alexander Gorsky | |
| Quantum Toboggans and Supersymmetry | |
| Miloslav Znojil | |
| SUSY-QM for trapped particles subject to contact pseudo-potentials | |
| Oscar Rosas-Ortiz |
Thursday, July 22
| Time Asymmetric Quantum Theory | |
| Arno Bohm | |
| N=4 multi-particle mechanics, WDVV equations and deformed root systems | |
| Olaf Lechtenfeld | |
| On the ground state of the matrix model | |
| Macey Trzetrzelewski | |
| Translations, reflections, and (nonlinear) supersymmetries | |
| Mikhail Plyushchay | |
| Differential Galois Theory and Shape Invariance | |
| Primitivo B. Acosta-Huma’nez |
Friday, July 23
| Supersymmetries of the Dirac Operator in Background Fields with some Applications | |
| Andreas Wipf | |
| Supersymmetry in 5d gravity | |
| Satoshi Ohya | |
| Exceptional points and spectral singularities for non-Hermitian SUSY Hamiltonians: puzzles with resolutions of identities | |
| Andrei V. Sokolov | |
| SUSY transformations between real and complex potentials: spectral singularities, equivalent Hermitian operators and resonance-like scattering | |
| Boris F. Samsonov | |
| Supersymmetric Calogero-Sutherland-type models: recent developments | |
| Pijush K. Ghosh |
Monday, July 26
| Hidden SUSY of Hamilton-Jacobi | |
| Paul Townsend | |
| Witten index in Supersymmetric 3D theories revisited | |
| Andrei V. Smilga | |
| Fluctuations around Periodic BPS-Density Waves in the Calogero Model | |
| Joshua Feinberg | |
| SQM with non-Abelian self-dual fields | |
| Maxim Konyushikhin | |
| Deformed Schroedinger algebra and superconformal quantum mechanics | |
| Mauricio Valenzuela | |
| Deformed Schroedinger algebra and superconformal quantum mechanics | |
| Mauricio Valenzuela |
Tuesday, July 27
| Harmonic superfields in supersymmetric quantum mechanics | |
| Evgeni Ivanov | |
| Spontaneous Breaking of Scale Invariance in a Supersymmetric Model | |
| Moshe Moshe | |
| On some classically integrable systems and SUSY Quantum Mechanics | |
| Juan Mateos Guilarte | |
| N=4 superconformal mechanics with spin variables by gauging | |
| Sergey Fedoruk |
Wednesday, July 28
| Sporadic Groups in Physics: The Monster Group |M and String Theory; and the Mathieu Group M_24 and the K3 surface | |
| Luis J. Boya | |
| Multi-well potentials in quantum mechanics and stochastic processes | |
| Victor Berezovoj | |
| Spectral Analysis on Wavelets and Applications | |
| Fernando M Gomez-Cubillo | |
| Solution of Fokker-Planck equation using Rosen-Morse isospectral potential | |
| Elso Drigo Filho |
Thursday, July 29
| Anyons, strings and superstrings | |
| Luca Mezincescu | |
| Potentials unbounded below | |
| Thomas Curtright | |
| Supersymmetry for time-dependent generalized Schroedinger equation | |
| Alina Suzko | |
| Generating Solvable Potentials | |
| Asim Gangopadhyaya | |
| Closing | |
| Alexander Andrianov, Luis Miguel Nieto |
This session has received financial support from the following institutions:
