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7 papers · 1 filter
An algebraic construction of the coherent states of the Morse potential based on SUSY QM
Balázs Molnár, Mihály G. Benedict
By introducing the shape invariant Lie algebra spanned by the SUSY ladder operators plus the unity operator, a new basis is presented for the quantum treatment of the one-dimension…
Griffiths-McCoy Singularities in the Random Transverse-Field Ising Spin Chain
F. Igloi, R. Juhasz, H. Rieger
We consider the paramagnetic phase of the random transverse-field Ising spin chain and study the dynamical properties by numerical methods and scaling considerations. We extend our…
Average persistence in random walks
H. Rieger, F. Igloi
We study the first passage time properties of an integrated Brownian curve both in homogeneous and disordered environments. In a disordered medium we relate the scaling properties…
Wakimoto realizations of current and exchange algebras
L. Feher
Working at the level of Poisson brackets, we describe the extension of the generalized Wakimoto realization of a simple Lie algebra valued current, J, to a corresponding realizatio…
Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model
Ferenc Igloi, Enrico Carlon
The surface and bulk properties of the two-dimensional Q > 4 state Potts model in the vicinity of the first order bulk transition point have been studied by exact calculations and…
Anomalous diffusion in disordered media and random quantum spin chains
F. Igloi, H. Rieger
Using exact expressions for the persistence probability and for the leading eigenvalue of the Focker-Planck operator of a random walk in a random environment we establish a fundame…