The Beauty of Mathematics in Science: The Intellectual Path of J Q Chen

by Feng, Da Hsuan; Iachello, Francesco; Ping, J. L.; Wang, F.; Chen, J. Q.

• ISBN13: 9789812382368
• ISBN10: 9812382364
• Format: Hardcover
• Copyright: 2004-04-01
• Publisher: World Scientific Pub Co Inc

Summary

This book is a tribute to the life and work of J Q Chen. The contributions of Chen to nuclear and molecular physics are discussed vis-a-vis present developments in these fields. Among other subjects, the present status of microscopic theories of the interacting boson model in nuclear physics and the theory of symmetry adaptation of molecular vibrations in molecular physics are reviewed. The latter theory is particularly useful for large molecular species such as fullerenes, where icosahedral symmetry plays a fundamental role.

Table of Contents

Foreword	ix
F. Iachello
Preface	xiii
Da Hsuan Feng
1 A Conceptual Review of the New Approach to Group Representation Theory	1	(8)
Fan Wang
2 The Interacting Boson Model	9	(16)
P. Van Isacker
3 Structure of Nuclei Near the First Order Spherical-Deformed Phase Transition in the Interacting Boson Model	25	(12)
N.V. Zamfir, G.E. Fernandes and R.F. Casten
4 Dynamical Symmetry Approach to Collective Motions in Many-Body Systems	37	(30)
Cheng-Li Wu
5 Fermion Dynamical Symmetries and High Temperature Superconductors	67	(20)
Mike Guidry
6 The Nucleon-Pair Shell Model Truncated to the SD Subspace for Even-Even Nuclei	87	(20)
Yan-an Lno, J.P. Draayer and Feng Pan
7 Quantum Mechanics on a Sphere	107	(8)
Joseph N. Ginocchio
8 The Method of Symmetrized Bosons	115	(10)
F. Iachello
9 The Perturbed Dirac-Coulomb Problem via SO(2,1) Algebra. A Dilemma!	125	(12)
K.T. Hecht
10 Continuous Groups and Molecular Electronic Structure	137	(20)
Josef Paldus and Xiangzhu Li
11 The Irreducible Tensor Bases of Simple Lie Algebras	157	(22)
H.Z. Sun and D. Ruan
12 Irreducible Bases in Icosahedral Group Space and Their Application	179	(16)
Zhong-Qi Ma
13 Induction and Subduction Coefficients of Hecke and Coupling and Re-Coupling Coefficients of UQ(N)	195	(20)
Feng Pan and J.P. Draayer
14 Algebraic Solutions for Point Groups	215	(20)
Jialun Ping
15 Physical Method of Group Representation Theory. I. A New Approach to Theory of Finite-Group Representations	235	(14)
Jin-Quan Chen, Fan Wang and Mei-Juan Gao
16 Physical Method of Group Representation Theory. I. A New Approach to Theory of Finite-Group Representations (in Chinese)	249	(10)
Jin-Quan Chen, Fan Wang and Mei-Juan Gao
17 Publications of Jin-Quan Chen	259