Cover image for The beauty of mathematics in science : the intellectual path of J Q Chen
Title:
The beauty of mathematics in science : the intellectual path of J Q Chen
Publication Information:
Singapore : World Scientific, 2004
ISBN:
9789812382368
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30000004710665 QC20.7.G76 B42 2004 Open Access Book Book
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Summary

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- -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

F. IachelloDa Hsuan FengFan WangP. Van IsackerN. V. Zamfir and G. E. Fernandes and R. F. CastenCheng-Li WuMike GuidryYan-an Luo and J. P. Draayer and Feng PanJoseph N. GinocchioF. IachelloK. T. HechtJosef Paldus and Xiangzhu LiH. Z. Sun and D. RuanZhong-Qi MaFeng Pan and J. P. DraayerJialun PingJin-Quan Chen and Fan Wang and Mei-Juan GaoJin-Quan Chen and Fan Wang and Mei-Juan Gao
Forewordp. ix
Prefacep. xiii
1 A Conceptual Review of the New Approach to Group Representation Theoryp. 1
2 The Interacting Boson Modelp. 9
3 Structure of Nuclei Near the First Order Spherical-Deformed Phase Transition in the Interacting Boson Modelp. 25
4 Dynamical Symmetry Approach to Collective Motions in Many-Body Systemsp. 37
5 Fermion Dynamical Symmetries and High Temperature Superconductorsp. 67
6 The Nucleon-Pair Shell Model Truncated to the SD Subspace for Even-Even Nucleip. 87
7 Quantum Mechanics on a Spherep. 107
8 The Method of Symmetrized Bosonsp. 115
9 The Perturbed Dirac-Coulomb Problem via SO(2,1) Algebra. A Dilemma!p. 125
10 Continuous Groups and Molecular Electronic Structurep. 137
11 The Irreducible Tensor Bases of Simple Lie Algebrasp. 157
12 Irreducible Bases in Icosahedral Group Space and Their Applicationp. 179
13 Induction and Subduction Coefficients of Hecke and Coupling and Re-Coupling Coefficients of U[subscript Q] (N)p. 195
14 Algebraic Solutions for Point Groupsp. 215
15 Physical Method of Group Representation Theory. I. A New Approach to Theory of Finite-Group Representationsp. 235
16 Physical Method of Group Representation Theory. I. A New Approach to Theory of Finite-Group Representations (in Chinese)p. 249
17 Publications of Jin-Quan Chenp. 259