ABSTRACT

This book discusses group theoretical methods and their applications in physics, chemistry, and biology. It covers traditional subjects including Lie group and representation theory, special functions, foundations of quantum mechanics, and elementary particle, nuclear, atomic, and molecular physics. More recent areas discussed are supersymmetry, superstrings and quantum gravity, integrability, nonlinear systems and quantum chaos, semigroups, time asymmetry and resonances, condensed matter, and statistical physics. Topics such as linear and nonlinear optics, quantum computing, discrete systems, and signal analysis have only in the last few years become part of the group theorists' turf.

part |15 pages

The 2004 Wigner Medal

chapter |1 pages

The Wigner Medal

ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf

chapter |4 pages

Laudation1 for Erdal Inönü Winger medalist, 2004

ByArthur S. wightman

chapter |2 pages

Erdal İnönü and physics in Turkey2

ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf

chapter |5 pages

Acceptance Speech for the Wigner Medal by Erdal İnönü

ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf

part |9 pages

The 2004 Hermann Weyl Prize

chapter |2 pages

The Hermann Weyl Prize

ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf

part |103 pages

Plenary Papers

chapter |6 pages

Wigner functions for nonparaxial classical optical fields

ByMiguel A Alonso

chapter |8 pages

Time asymmetric extensions of dynamics with resonances

ByIoannis Antoniou

chapter |7 pages

Nonsymmetric Jack polynomials and Calogero-Moser models

ByCharles F. Dunkl

chapter |13 pages

Inserting Group Variables into Fluid Mechanics

ByR. Jackiw

chapter |8 pages

A general approach for vibrational molecular excitations

ByR. Lemus

chapter |9 pages

Symmetries of Linear and Nonlinear Difference Systems

ByP. Winternitz

part |450 pages

Invalid Papers

chapter |6 pages

Quantum groups associated with nondeformed particle algebras

ByM. Arık, A. Baykal, U. Kayseriliog̃lu

chapter |6 pages

A finite su   q ( 2 ) -model of the harmonic oscillator

ByN M Atakishiyev, A U Klimyk, K B Wolf

chapter |6 pages

Gamov vectors for resonances: a Lax-Phillips approach

ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf

chapter |6 pages

A group-theoretical approach to quantum search

ByCésar Bautista

chapter |5 pages

A limit of a quantum field model on the loop space.

ByV.V. Belokurov, Yu.P. Solovyov, E.T. Shavgulidze

chapter |6 pages

Why semigroups

ByArno Bohm

chapter |5 pages

Solution of 2×2 matrix three-body Calogero model

ByČestmír Burdík, Ondřej Navrátil

chapter |6 pages

Even and odd spin coherent states as Hartree-Fock trial wavefunctions

ByOctavio Castaños, Enrique López-Moreno, Ramón López-Peña, Jorge G. Hirsch

chapter |9 pages

Nambu-Clifford dynamics

BySimón Codriansky

chapter |5 pages

Unstable quantum states and time operator

ByMaurice Courbage

chapter |7 pages

Contractions via Kac-Moody formalism

ByJamil Daboul

chapter |6 pages

Discrete equations and umbral calculus

ByD. Levi, J. Negro, M. A. del Olmo

chapter |6 pages

Planar Physics and Group Theory

ByJ. Negro, M. A. del Olmo‡, J. Tosiek

chapter |6 pages

Helicity Basis for Spin 1/2 and 1 , and Discrete Symmetry Operations

ByValeri V. Dvoeglazov, J. L. Quintanar González

chapter |6 pages

Second-order supersymmetric quantum mechanics for confluent factorization energies

ByDavid J. Fernández C., Encarnación Salinas-Hernández

chapter |6 pages

The geometry of configuration mixing and shape coexistence in the interacting boson model

ByP. Van Isackeri, A. Frank, C.E. Vargas§

chapter |7 pages

Invariant solutions of models obtained from the Nambu-Goto action

ByA M Grundland, A J Hariton

chapter |6 pages

Group Quantization of the Modified Pöschl-Teller Potential

ByJulio Guerrero, Victor Aldaya

chapter |6 pages

Quantum oscillator as 1D anyon

ByYe. Hakobyan, V. Ter-Antonyan

chapter |6 pages

Time development of single quantum systems

ByGerhard C. Hegerfeldt

chapter |6 pages

Crossings and anticrossings of unbound states

ByE. Hernández, A. Jáuregui, A. Mondragón

chapter |7 pages

A Toy Model for QCD: Multiquark and Gluon Systems

ByP. O. Hess

chapter |6 pages

Degeneracies in the energy spectrum of the Jaynes-Cummings Hamiltonian

ByLaurier Dello Sbarba, Véronique Hussin

chapter |8 pages

Quantum mechanical properties of Bessel modes and their effect on atomic systems

ByRocio Jáuregui, Shahen Hacyan

chapter |4 pages

Description of unstable states in quantum field theory

ByPiotr Kielanowski

chapter |4 pages

A coherent strategy for quantum gravity

ByJohn R. Klauder

chapter |6 pages

Superextension of Jordanian Deformation for U ( o s p ⁡ ( 1 ∣ 2 ) ) and its Generalizations

ByA. Borowiec, J. Lukierski, V.N. Tolstoy

chapter |6 pages

On some properties of quaternionic inner product spaces

ByM. Elena Luna-Elizarrarás, Michael Shapiro

chapter |7 pages

Symplectic group and entropy in probability representation of quantum mechanics

ByOlga V Man'ko, Vladimir I Man'ko

chapter |6 pages

Symplectic group and solitons in BEC as probability distributions corresponding to nonlinear signals

ByM A Man'ko, S De Nicola, R Fedele§, V I Man’ko

chapter |6 pages

Unfolding a degeneracy point of two unbound states

ByA. Mondragón, E. Hernández, A. Jáuregui

chapter |6 pages

Towards a consistent description of high spins

ByMariana Kirchbach, Mauro Napsuciale

chapter |6 pages

The quantum field from a group theoretical perspective

BySelim Gómez-Ávila, Mauro Napsuciale

chapter |6 pages

Noncommutative BF Theories

ByH. García-Compeán, O. Obregón, C. Ramírez§

chapter |6 pages

How do you add velocities when time is relative?

ByZbigniew Oziewicz

chapter |6 pages

Bravais' rule for quasicrystals

ByZorka Papadopolos, Gerald Kasner

chapter |6 pages

Algebraic description of spectral transitions in nonrigid molecules

ByF. Pérez-Bernal, L. F. Santos, P. H. Vaccaro§, F. Iachello|

chapter |6 pages

A Non-Analytic Decay Rate for Dipole Molecules near Cutoff Frequency in a Waveguide

ByChu-Ong Ting, Sterling Garmon, T. Petrosky

chapter |10 pages

Two-dimensional superintegrability and quasi-exact solvability

ByE. G. Kalnins, W. Miller, G. S. Pogosyan§

chapter |5 pages

Exact nonlinear response of a harmonic system

ByJ. Récamier, W. L. Mochán, J. Maytorena

chapter |6 pages

The supermembrane with central charge as a bundle of D2-D0 branes

ByM. P. García del Moral, A. Restuccia

chapter |6 pages

Supersymmetric derivation of the hard core deuteron's bound state

ByOscar Rosas-Ortiz

chapter |6 pages

Ambiguities in the quantization of gauge invariant systems

BySeiji Sakoda

chapter |6 pages

Lie algebraic generalization of quantum statistics

ByN.I. Stoilova, J. Van der Jeugt

chapter |6 pages

Gauge invariance in radiative processes involving the production and decay of resonances

ByG. López Castro, G. Toledo Sánchez

chapter |5 pages

The magnetic interaction in quantum mechanics

ByG.F. Torres del Castillo

chapter |6 pages

The N-particle Wigner Quantum Oscillator: non-commutative coordinates and physical properties

ByR C King, T D Palev, N I Stoilova, J Van der Jeugt

chapter |6 pages

One-dimensional hydrogen atom in hyperbolic space

ByGeorge S. Pogosyan, Luis Edgar Vicent§, Kurt Bernardo Wolf

chapter |6 pages

Ribbon structure in symmetric pre-monoidal categories

ByLiam Wagner, Jon Links, Phil Isaac

chapter |6 pages

Geometric optics on phase space -The book

ByKurt Bernardo Wolf, Guillermo Krötzsch

chapter |5 pages

Remarks on CSLs for cubic and hypercubic lattices

ByP. Zeiner

chapter |6 pages

Defects of quantum state lattice and assignment of spectra

ByB I Zhilinskii

chapter |11 pages

Participants of the

XXV International Colloquium on Group Theoretical Methods in Physics
ByGeorge S. Pogosyan, Luis Edgar Vicent, Kurt Bernardo Wolf