Some geometrical and topological problems in polymer physics
AL Kholodenko, TA Vilgis - Physics reports, 1998 - Elsevier
In this work we discuss some problems of polymer physics which require use of the
geometrical and topological methods for their solution. Selection of problems is made to …
geometrical and topological methods for their solution. Selection of problems is made to …
The exotic Galilei group and the “Peierls substitution”
C Duval, PA Horvathy - Physics Letters B, 2000 - Elsevier
Taking advantage of the two-parameter central extension of the planar Galilei group, we
construct a non relativistic particle model in the plane. Owing to the extra structure, the …
construct a non relativistic particle model in the plane. Owing to the extra structure, the …
Quantum mechanics on the noncommutative torus
B Morariu, AP Polychronakos - Nuclear Physics B, 2001 - Elsevier
We analyze the algebra of observables of a charged particle on a noncommutative torus in a
constant magnetic field. We present a set of generators of this algebra which coincide with …
constant magnetic field. We present a set of generators of this algebra which coincide with …
[PDF][PDF] The “Peierls substitution” and the exotic Galilei group
C Duval, PA Horvathy - arXiv preprint hep-th/0002233, 2008 - Citeseer
Owing to the two-parameter central extension of the planar Galilei group, a non relativistic
particle in the plane admits an extra structure, which yields noncommuting coordinates. For …
particle in the plane admits an extra structure, which yields noncommuting coordinates. For …
Multimode rotation-symmetric bosonic codes from homological rotor codes
We develop quantum information processing primitives for the planar rotor, the state space
of a particle on a circle. The n-rotor Clifford group, U (1) n (n+ 1)/2⋊ GL n (Z), is represented …
of a particle on a circle. The n-rotor Clifford group, U (1) n (n+ 1)/2⋊ GL n (Z), is represented …
Clifford operations and homological codes for rotors and oscillators
We develop quantum information processing primitives for the planar rotor, the state space
of a particle on a circle. By interpreting rotor wavefunctions as periodically identified …
of a particle on a circle. By interpreting rotor wavefunctions as periodically identified …
Vacuum radiation and symmetry breaking in conformally invariant quantum field theory
V Aldaya, M Calixto, JM Cerveró - Communications in mathematical …, 1999 - Springer
The underlying reasons for the difficulty of unitarily implementing the whole conformal group
SO (4, 2) in a massless Quantum Field Theory (QFT) on Minkowski space are investigated in …
SO (4, 2) in a massless Quantum Field Theory (QFT) on Minkowski space are investigated in …
Group approach to the quantization of the Pöschl–Teller dynamics
V Aldaya, J Guerrero - Journal of Physics A: Mathematical and …, 2005 - iopscience.iop.org
The quantum dynamics of a particle in the modified Pöschl–Teller potential is derived from
the group by applying a group approach to quantization (GAQ). The explicit form of the …
the group by applying a group approach to quantization (GAQ). The explicit form of the …
On a full quantization of the torus
MJ Gotay - Quantization, coherent states, and complex structures, 1995 - Springer
ON A FULL QUANTIZATION OF THE TORUS 1. INTRODUCTION Page 1 ON A FULL
QUANTIZATION OF THE TORUS Mark J. Gotay Department of Mathematics University of …
QUANTIZATION OF THE TORUS Mark J. Gotay Department of Mathematics University of …
Lie group representations and quantization
V Aldaya, J Guerrero - Reports on Mathematical Physics, 2001 - Elsevier
In this paper we are concerned with the study of representations of connected Lie groups,
related to physical problems. The representation technique used here is formulated on the …
related to physical problems. The representation technique used here is formulated on the …