· Nicolae Cotfas, Jean Pierre Gazeau and Katarzyna Gorska:
Complex and real Hermite polynomials and related quantizations,
Journal of Physics A: Mathematical and Theoretical 43(2010) submitted paper
* http://arxiv.org/abs/1001.3248
* jpa10b.pdf
* jpa10b.ps
· Nicolae Cotfas and Jean Pierre Gazeau:
Finite tight frames and some applications,
Journal of Physics A: Mathematical and Theoretical 43(2010) accepted paper
* http://arxiv.org/abs/0803.0077
* jpa10a.pdf
* jpa10a.ps
· N. Cotfas:
Group representations with application to quasicrystals and carbon nanotubes,
Springer Physics Series (paper submitted for Proceedings of Group 26, New York, June 26-30, 2006)
* article.zip
* article.pdf
* article.ps
* article.dvi
· N. Cotfas:
Gazeau-Klauder type coherent states for hypergeometric type operators,
Central European Journal of Physics 7 (2009) 147-159
* http://arxiv.org/abs/0806.3508
* 0806.3508v2.pdf
· N. Cotfas:
Symmetry properties of Penrose type tilings,
Philosophical Magazine 88 (2008) 2017-2023
* philmag07.pdf
* philmag07.tex
· N. Cotfas:
Aperiodic packings of clusters obtained by projection
Philosophical Magazine 87 (2007) 2823-2830
* aperiodic06.tex
* aperiodic06.pdf
* aperiodic06.dvi
* aperiodic06.ps
* original-of-fig4right.ps
* original-of-fig5right.ps
* software
· N. Cotfas:
Discrete quasiperiodic sets with predefined local structure,
Journal of Geometry and Physics 56 (2006) 2415-2428
· N. Cotfas:
On the linear representations of the symmetry groups of single-wall
carbon nanotubes, Journal of Physics A: Mathematical and General 39
(2006) 9755-9765
* Preprint math-ph/0602014 (2-nd version)
* jpa06a.zip
* jpa06a.dvi
· N. Cotfas:
Shape invariant hypergeometric type operators with application
to quantum mechanics,
Central European Journal of Physics 4 (2006) 318-330
* Preprint math-ph/0603032
* cejp06a.zip
* cejp06a.dvi
· N. Cotfas:
Systems of orthogonal polynomials defined by hypergeometric type equations,
Electronic Transactions on Numerical Analysis 24 (2006) 45-54
· N. Cotfas:
Discrete quasiperiodic sets with predefined covering cluster,
Philosophical Magazine 86 (2006) 895-900
* cotfasn2.tex
* cotfasn2.pdf
* cotfasn2.ps
* cotfasn2.dvi
· N. Cotfas:
Associated special functions and coherent states,
WSEAS Transactions on Mathematics 5 (2006) 196-203
* wseas05.tex
* wseas05.pdf
* wseas05.ps
* wseas05.dvi
· N. Cotfas:
An alternate mathematical model for single-wall carbon nanotubes,
Journal of Geometry and Physics 55 (2005) 123-134
· N. Cotfas:
Quasiperiodic packings of icosahedral clusters obtained by projection,
Romanian Journal of Physics 50 (2005) 105-116
· N. Cotfas:
On the self-similarities of the rhombic Penrose tilings
in 11th International Conference "Symmetry Methods in Physics",
Prague, June 21-24, 2004, Eds. C. Burdik, O. Navratil and S. Posta
(on CD, Joint Institute for Nuclear Research, Dubna, 2004)
· N. Cotfas:
Representations of the Icosahedral Group with Application to
Quasicrystals,
Ferroelectrics 305 (2004) 33-36
· N. Cotfas:
Systems of orthogonal polynomials defined by hypergeometric
type equations
with application to quantum mechanics,
Central European Journal of Physics 2 (2004) 456-466
· N. Cotfas:
Icosahedral multi-component model sets,
Journal of Physics A: Mathematical and General 37 (2004) 3125-3132
· N. Cotfas:
Special functions, raising and lowering operators,
Proceedings of GROUP 24: Physical and Mathematical Aspects of Symmetries,
eds. J-P Gazeau et al., Inst. Phys. Conf. Ser. No 173 (2003), 649-652
· N. Cotfas:
Shape invariance, raising and lowering operators in hypergeometric type equations,
Journal of Physics A: Mathematical and General 35 (2002) 9355-9365
· N. Cotfas:
Penrose-type patterns obtained by projection from a 12D lattice,
Journal of Physics A: Mathematical and General 34 (2001) L479-L482
· N. Cotfas and R. Slobodeanu:
Some icosahedral patterns and their isometries,
Bulletin Mathematique de la Societe des Sciences Mathematiques de
Roumanie 44 (92), 2001, 323-330
· N. Cotfas:
Quantum random walks on diamond-type crystals and carbon nanotubes,
Journal of Physics A: Mathematical and General 34 (2001) 5469-5483
· N. Cotfas:
A group-theoretic approach to quasicrystals,
Ferroelectrics 250 (2001) 317-320
· N. Cotfas:
Finite graphs associated with a cut-and-project set,
Czechoslovak J. Phys. 51 (2001) 301-304
· N. Cotfas: Systems of coherent vectors,
Journal of Physics A: Mathematical and General 33 (2000) 5003-5009
· N. Cotfas:
Quantum random walks on carbon nanotubes and quasicrystals,
Journal of Physics A: Mathematical and General 33 (2000) 2917-2927
· N. Cotfas:
G-model sets and their self-similarities,
Journal of Physics A: Mathematical and General 32 (1999) 8079-8093
· N. Cotfas:
On the self-similarities of a model set,
Journal of Physics A: Mathematical and General 32 (1999) L165-L168
· N. Cotfas:
Permutation representations defined by G-clusters with application to quasicrystals,
Letters in mathematical Physics 47 (1999) 111-123
· N. Cotfas:
On the affine self-similarities of he three-dimensional Penrose pattern,
Journal of Physics A: Mathematical and General 31 (1998) 7273-7277
· N. Cotfas:
On the self-similarities of two icosahedral patterns,
Z. Kristallogr. 213 (1998) 311-315
· N. Cotfas:
Elements of discrete differential calculus with applications to crystal physics,
Journal of Geometry and Physics 24 (1998) 291-302
· N. Cotfas:
Modeles Mathematiques pour Cristaux et Quasicristaux,
Ph. D. thesis, Institut National Polytechnique de Grenoble,
France, 1998
· J.-L. Verger-Gaugry and N. Cotfas:
Models of quasicrystals with G-cluster
microstructure.
A mathematical approach, in vol.
6-th International Conference on Quasicrystals ,
Eds. S.
Takeuchi and T. Fujiwara, World Scientific, Singapore,1998, pages 132-135
· N. Cotfas and J.-L. Verger-Gaugry:
G-clusters and quasicrystals,
in vol.
Aperiodic' 97, Eds. M. de Boissieu, J.-L. Verger-Gaugry and
R. Currat ,
World Scientific, Singapore, 1998, pages 36-42
* alpehuez.tex
* alpehuez.pdf
* alpehuez.dvi
* alpehuez.ps
· N. Cotfas and J-L Verger-Gaugry:
A mathematical construction of
n-dimensional quasicrystals
starting from G-clusters,
Journal of Physics A: Mathematical and General 30 (1997) 4283-4291
· N. Cotfas:
A mathematical model for diamond-type crystals,
Journal of Physics A: Mathematical and General 28 (1995) 1371-1379
· N. Cotfas:
Elements of tight-binding method in terms of graph theory,
Journal de Physique I (France) 3 (1993) 2269-2284
· N. Cotfas:
Topological manifolds and vector bundles with applications to crystal physics,
Journal of Geometry and Physics 10 (1993) 107-126
· N. Cotfas:
Diamond structure in a natural description,
Journal of Physics:Condens. Matter 3 (1991) 9279-9296.
* jphysc91.pdf