1.

Record Nr.

UNINA9910454346803321

Titolo

The beauty of mathematics in science [[electronic resource] ] : the intellectual path of J Q Chen / / edited by D H Feng ... [et al.]

Pubbl/distr/stampa

Singapore ; ; River Edge, N.J., : World Scientific, c2004

ISBN

1-281-93582-4

9786611935825

981-279-542-1

Descrizione fisica

1 online resource (287 p.)

Altri autori (Persone)

ChenJ. Q (Jin-Quan)

FengDa Hsuan <1945->

Disciplina

530.15/22

Soggetti

Group theory

Interacting boson models

Nuclear physics

Molecules

Mathematical physics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

"Publications of Jin-Quan Chen: p. 259-266.

Nota di contenuto

Contents               ; Foreword               ; Preface              ; 1 A Conceptual Review of the New Approach to Group Representation Theory                                                                               ; 1. Introduction                      ; 2. Three Kinds of Complete Set of Commuting Operators                                                            ; 3. The Relations between Permutation Group and Unitary Group                                                                   ; 4. Postscript                    ; References

2 The Interacting Boson Model                                    1. Landmarks                   ; 2. Symmetries                    ; 3. Bridges                 ; 4. Avenues                 ; References                 ; 3 Structure of Nuclei Near the First Order Spherical- Deformed Phase Transition in the Interacting Boson Model                                                                                                                     ; 1. Introduction                      ; 2. Nature of Structural Evolution in the IBA


3. The Evolution of Nuclear Observables                                              4. Conclusion                    ; References                 ; 4 Dynamical Symmetry Approach to Collective Motions in Many-Body Systems                                                                               ; 1. Introduction                      ; 2. The Dynamical Symmetry Approach                                         ; 3. The Fermion Dynamical Symmetry Model

4. The SU(4) Model for High-Tc Superconductivity                                                       5. The Energy Gap and Phase Diagrams in Cuprates                                                       ; 6. Summary                 ; References                 ; 5 Fermion Dynamical Symmetries and High Temperature Superconductors                                                                          ; 1. Introduction                      ; 2. Fermion Dynamical Symmetries                                      ; 3. The Dynamical Symmetry Method

4. An SU(4) Model of Superconductivity                                             5. SU(4) Model Hamiltonian                                 ; 6. Dynamical Symmetry Chains                                   ; 7. Coherent State Energy Surfaces                                        ; 8. Phase Diagram                       ; 10. Relationship of SU(4) and Zhang's SO(5)                                                  ; 11. Analogies in Nuclear Structure                                         ; 12. Summary                  ; References

6 The Nucleon-Pair Shell Model Truncated to the SD Subspace for Even-Even Nuclei

Sommario/riassunto

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-à-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. <br><i>Contents:</i><ul><li>A Conceptual Review of the New Approach