Electronic Journal of Theoretical Physics

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Book Description:

This new book is dedicated to the memory of the Nobel laureate and the great theoretical physicist Lev Davidovich Landau (1908?1968) on the occasion of his centenary. This book brings together fifteen papers contributed by authors from different countries: China, India, Italy, Germany, Mexico, Russia, and USA, covering several core aspects of modern development of Landau legacy and achievements, ranging from Landau's bibliography and life to recent rigorous research on theoretical physics. In his paper entitled "Lev Landau, the Genius that Challenged Stalin," Toscano discusses Landau?s life, his influence on theoretical physics in the Soviet Union, and his challenge to Stalin. Kholodenko discusses extensively the impact of the Landau's last paper on physics and mathematics in the new millennium based on Golubeva's famous paper. In his esteemed paper, Sachs presents the philosophical problems of cosmology and time. In their seminal papers, Brandt, Esposito, Salesi, Ma, Wang, and Kleinert review different aspects of Ginzburg?Landau theory, phase transitions, and superconductors. In their remarkable paper on Landau?Lifshits equation, Parga and Gallardo address the importance of this equation and its applications to classical charge particles. Azam, Basu, Dhar, and Li discuss extensively the Landau singularity in QED, Landau quantization, and noncommutative Landau problem, and other related topics. Rasetti and Raffa report on the multiboson Logical operators, Laughlin states, and Virasoro algebra. Chakraborty in his paper shows the influence of Landau approach to the theory of fluid dynamics.

Table of Contents:

Preface

1. Fifteen Years with L.D. Landau pp.1-8
(Khalatnikov)

2. Lev Landau, the Genius that Challenged Stalin pp.9-18
(Fabio Toscano)

3. Reproduce the Complete list works of L.D. Landau, Physics-Uspekhi
(6), June, 1998. pp.19-28

4. On the Problem of Cosmology and Time pp.29-36
(Mendel Sachs)

5. Landau's Last Paper and its Impact on Developments in Mathematics, Physics and other Disciplines in New Millennium pp.37-76
(Arkady L. Kholodenko)

6. From Landau's Order Parameter to Modern Disorder Fields
(Hagen Kleinert) pp.77-86

7. The Vortex Lattice in Ginzburg-Landau Superconductors pp.87-110
(Ernst Helmut Brandt)

8. Phase Transition and Separation for Mixture of Liquid He-3 and He-4
(Tian Ma and Shouhong Wang) pp.111-124

9. Generalized Ginzburg-Landau Models for Non-conventional Superconductors pp.125-142
(S. Esposito and G. Salesi)

10. Landau Singularity and the Instability of Vacuum State in (Quantum Electrodynamics) QED
(Mofazzal Azam) pp.142-162

11. Atomic Analogue of Landau Quantization
(B. Basu and S. Dhar)pp.163-172

12. Noncommutative Landau Problem pp.173-180
(Kang Li)

13. The Importance of Landau-Lifshitz Motion Equation for Classical Charged Particles pp.181-186
(Gonzalo Ares de Parga and Ruben Mares Gallardo)

14. Role of Third-Order Structure Function in Studying
Two-Dimensionalisation of Turbulence
(Sagar Chakraborty) pp.187-220

15. Multiboson Logical Operators, Laughlin States, and Virasoro Algebra pp.221-240
(Mario Rasetti and Francesco Raffa)

Appendix A:
Some problems in the analytic theory of Feynman integrals pp.241-310
(V. A. Golubeva)

Appendix B: Landau Photos pp.311-316