Mesoscopic Nuclear Physics: From Nucleus to Quantum Chaos to Quantum Signal Transmission

✍ Scribed by Vladimir Zelevinsky, Alexander Volya

• Publisher: World Scientific
• Year: 2023
• Tongue: English
• Leaves: 190
• Category: Library

✦ Synopsis

This book summarizes the recent development of nuclear science as an important part of mesoscopic physics, the intermediate world between the macroscopic and microscopic. This fast developing area with many practical applications includes complex atoms, molecules (including biological), nuclei, small-scale solid state systems, and future quantum computers. The complexity of the problem appears due to the richness of problems, from the necessity to study individual quantum levels, to the fundamental features of statistics and thermodynamics.

✦ Table of Contents

Contents
1. Introduction
2. Nucleus as a Mesoscopic Object
2.1. Strong, Electromagnetic, and Weak Interac
2.2. Single-Particle Degrees of Freedom
2.3. From Mean Field to Fermi-Liquid
2.4. Residual Interactions
2.5. Nuclear Pairing
2.6. Collective Rotation
2.7. Vibrational Modes
2.8. Mechanism of Collective Motion
2.9. Symmetries
2.10. Transition to Complexity
2.11. On the Road to Chaotic Dynamics
3. Many-Body Nuclear Complexity
3.1. Nuclear Shell Model as an Instrument
3.2. Specific Example of the Shell Model
3.3. Results of the Shell Model
3.4. Level Density
3.5. Strength Function
3.6. Information Entropy and Effective Temperature
4. Statistical Ensembles
4.1. Briefly About Classical Chaos
4.2. Quantum Chaos
4.3. Gaussian Random Matrix Ensembles
4.4. Level Statistics
4.5. Electrostatic Analogy and Relation to Random Processes
4.6. Other Features of Quantum Chaos
4.7. Level Density and Semicircle Law
5. Shell Model as a Testing Ground for Quantum Chaos
5.1. Statistical Features of Realistic Calculations
5.2. Level Statistics and Dynamics
5.3. Chaotic Wave Functions
5.4. Enhancement of Weak Effects
5.5. Thermalization
5.6. Invariant Correlational Entropy
5.7. Level Density and Related Physics
5.8. Time Dynamics
6. Nucleus as an Open System
6.1. Briefly About Continuum
6.2. Formal Description of an Open Quantum System
6.3. Relation to the Scattering Matrix
6.4. Road to Superradiance
6.5. Collective Mode in the Continuum
6.6. Collective Strength in Reactions
6.7. Continuum Shell Model: A Simple Example
6.8. Realistic Continuum Shell Model
7. Quantum Signal Transmission
7.1. Generic Transmission Line
7.2. Transmission Landscape
7.3. Tight-Binding Model
7.4. Network Propagation
References
Index