185 citations · 3.5k across the 160 of their papers we have counts for
6 papers · 1 filter
Comment on "Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty"
Bijan Bagchi, Andreas Fring
We demonstrate that the recent paper by Jana and Roy entitled ''Non-Hermitian quantum mechanics with minimal length uncertainty'' [SIGMA 5 (2009), 083, 7 pages, arXiv:0908.1755] co…
Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
Bijan Bagchi, Andreas Fring
Deformations of the canonical commutation relations lead to non-Hermitian momentum and position operators and therefore almost inevitably to non-Hermitian Hamiltonians. We demonstr…
From real fields to complex Calogero particles
Paulo E. G. Assis, Andreas Fring
We provide a novel procedure to obtain complex PT-symmetric multi-particle Calogero systems. Instead of extending or deforming real Calogero systems, we explore here the possibilit…
A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
Olalla A. Castro-Alvaredo, Andreas Fring
We investigate a lattice version of the Yang-Lee model which is characterized by a non-Hermitian quantum spin chain Hamiltonian. We propose a new way to implement PT-symmetry on th…
Particles versus fields in PT-symmetrically deformed integrable systems
Andreas Fring
We review some recent results on how PT-symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex value…
Compactons versus Solitons
Paulo E. G. Assis, Andreas Fring
We investigate whether the recently proposed PT-symmetric extensions of generalized Korteweg-de Vries equations admit genuine soliton solutions besides compacton solitary waves. Fo…