Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain)

The Guest Editors for this special issue are

Alexander Andrianov (Universitat de Barcelona, Spain and Saint Petersburg State University, Russia)
Véronique Hussin (Université de Montréal, Canada)
Javier Negro (Universidad de Valladolid, Spain)
Luismi Nieto (Universidad de Valladolid, Spain)
Andrei Smilga (Université de Nantes, France)


The present collection includes papers by participants of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design”, held at Benasque, Spain, July 18–30, 2010.

The issue contains 19 papers with the total of 284 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

The Guest Editors        


Papers in this Issue:

Resolutions of Identity for Some Non-Hermitian Hamiltonians. II. Proofs
Andrey V. Sokolov
SIGMA 7 (2011), 112, 16 pages   [ abs   pdf ]
Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
Alexander A. Andrianov and Andrey V. Sokolov
SIGMA 7 (2011), 111, 19 pages   [ abs   pdf ]
Time Asymmetric Quantum Mechanics
Arno R. Bohm, Manuel Gadella and Piotr Kielanowski
SIGMA 7 (2011), 086, 13 pages   [ abs   pdf ]
Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
Nicolás Fernández-García and Oscar Rosas-Ortiz
SIGMA 7 (2011), 044, 17 pages   [ abs   pdf ]
Potentials Unbounded Below
Thomas Curtright
SIGMA 7 (2011), 042, 20 pages   [ abs   pdf ]
Supersymmetry Transformations for Delta Potentials
David J. Fernández C., Manuel Gadella and Luis Miguel Nieto
SIGMA 7 (2011), 029, 14 pages   [ abs   pdf ]
Supersymmetric Quantum Mechanics and Painlevé IV Equation
David Bermúdez and David J. Fernández C.
SIGMA 7 (2011), 025, 14 pages   [ abs   pdf ]
Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
Véronique Hussin and Ian Marquette
SIGMA 7 (2011), 024, 16 pages   [ abs   pdf ]
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
Olaf Lechtenfeld, Konrad Schwerdtfeger and Johannes Thürigen
SIGMA 7 (2011), 023, 21 pages   [ abs   pdf ]
Planarizable Supersymmetric Quantum Toboggans
Miloslav Znojil
SIGMA 7 (2011), 018, 24 pages   [ abs   pdf ]
Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
Evgeny A. Ivanov
SIGMA 7 (2011), 015, 14 pages   [ abs   pdf ]
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
Haret C. Rosu and Kira V. Khmelnytskaya
SIGMA 7 (2011), 013,  9 pages   [ abs   pdf ]
Introduction to Sporadic Groups
Luis J. Boya
SIGMA 7 (2011), 009, 18 pages   [ abs   pdf ]
The Quantum 3D Superparticle
Luca Mezincescu and Paul K. Townsend
SIGMA 7 (2011), 005, 11 pages   [ abs   pdf ]
Multi-Well Potentials in Quantum Mechanics and Stochastic Processes
Victor P. Berezovoj, Glib I. Ivashkevych and Mikhail I. Konchatnij
SIGMA 6 (2010), 098, 18 pages   [ abs   pdf ]
A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum
Orlando Ragnisco and Danilo Riglioni
SIGMA 6 (2010), 097, 10 pages   [ abs   pdf ]
Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
Omar Cherbal, Mahrez Drir, Mustapha Maamache and Dimitar A. Trifonov
SIGMA 6 (2010), 096, 11 pages   [ abs   pdf ]
Pseudo-Bosons from Landau Levels
Fabio Bagarello
SIGMA 6 (2010), 093,  9 pages   [ abs   pdf ]
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Mikhail V. Ioffe
SIGMA 6 (2010), 075, 10 pages   [ abs   pdf ]


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