1.

Record Nr.

UNINA9910810713203321

Autore

Nazarov Yuli V.

Titolo

Advanced quantum mechanics : A practical guide / / Yuli V Nazarov,  Delft University of Technology, Jeroen Danon, Free University of Berlin [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2013

ISBN

1-107-23317-8

1-139-60972-6

1-107-25353-5

1-139-61158-5

1-139-62088-6

1-283-97025-2

1-139-62460-1

1-139-61530-0

0-511-98042-6

Descrizione fisica

1 online resource (xiv, 354 pages) : digital, PDF file(s)

Classificazione

SCI057000

Disciplina

530.12

Soggetti

Quantum theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di contenuto

Cover; Contents; Figure Credits; Preface; PART I SECOND QUANTIZATION; 1 Elementary quantum mechanics; 1.1 Classical mechanics; 1.2 Schrödinger equation; 1.3 Dirac formulation; 1.4 Schrödinger and Heisenberg pictures; 1.5 Perturbation theory; 1.6 Time-dependent perturbation theory; 1.6.1 Fermi's golden rule; 1.7 Spin and angular momentum; 1.7.1 Spin in a magnetic field; 1.7.2 Two spins; 1.8 Two-level system: The qubit; 1.9 Harmonic oscillator; 1.10 The density matrix; 1.11 Entanglement; Exercises; Solutions; 2 Identical particles; 2.1 Schrödinger equation for identical particles

2.2 The symmetry postulate2.2.1 Quantum fields; 2.3 Solutions of the N-particle Schrödinger equation; 2.3.1 Symmetric wave function: Bosons; 2.3.2 Antisymmetric wave function: Fermions; 2.3.3 Fock space; Exercises; Solutions; 3 Second quantization; 3.1 Second quantization for bosons; 3.1.1 Commutation relations; 3.1.2 The



structure of Fock space; 3.2 Field operators for bosons; 3.2.1 Operators in terms of field operators; 3.2.2 Hamiltonian in terms of field operators; 3.2.3 Field operators in the Heisenberg picture; 3.3 Why second quantization?; 3.4 Second quantization for fermions

3.4.1 Creation and annihilation operators for fermions3.4.2 Field operators; 3.5 Summary of second quantization; Exercises; Solutions; PART II EXAMPLES; 4 Magnetism; 4.1 Non-interacting Fermi gas; 4.2 Magnetic ground state; 4.2.1 Trial wave function; 4.3 Energy; 4.3.1 Kinetic energy; 4.3.2 Potential energy; 4.3.3 Energy balance and phases; 4.4 Broken symmetry; 4.5 Excitations in ferromagnetic metals; 4.5.1 Single-particle excitations; 4.5.2 Electron-hole pairs; 4.5.3 Magnons; 4.5.4 Magnon spectrum; Exercises; Solutions; 5 Superconductivity; 5.1 Attractive interaction and Cooper pairs

5.1.1 Trial wave function5.1.2 Nambu boxes; 5.2 Energy; 5.2.1 Energy minimization; 5.3 Particles and quasiparticles; 5.4 Broken symmetry; Exercises; Solutions; 6 Superfluidity; 6.1 Non-interacting Bose gas; 6.2 Field theory for interacting Bose gas; 6.2.1 Hamiltonian and Heisenberg equation; 6.3 The condensate; 6.3.1 Broken symmetry; 6.4 Excitations as oscillations; 6.4.1 Particles and quasiparticles; 6.5 Topological excitations; 6.5.1 Vortices; 6.5.2 Vortices as quantum states; 6.5.3 Vortex lines; Exercises; Solutions; PART III FIELDS AND RADIATION; 7 Classical fields

7.1 Chain of coupled oscillators7.2 Continuous elastic string; 7.2.1 Hamiltonian and equation of motion; 7.2.2 Solution of the equation of motion; 7.2.3 The elastic string as a set of oscillators; 7.3 Classical electromagnetic field; 7.3.1 Maxwell equations; 7.3.2 Useful relations; 7.3.3 Vector and scalar potentials; 7.3.4 Gauges; 7.3.5 Electromagnetic field as a set of oscillators; 7.3.6 The LC-oscillator; Exercises; Solutions; 8 Quantization of fields; 8.1 Quantization of the mechanical oscillator; 8.1.1 Oscillator and oscillators; 8.2 The elastic string: phonons

8.3 Fluctuations of magnetization: magnons

Sommario/riassunto

An accessible introduction to advanced quantum theory, this graduate-level textbook focuses on its practical applications rather than mathematical technicalities. It treats real-life examples, from topics ranging from quantum transport to nanotechnology, to equip students with a toolbox of theoretical techniques. Beginning with second quantization, the authors illustrate its use with different condensed matter physics examples. They then explain how to quantize classical fields, with a focus on the electromagnetic field, taking students from Maxwell's equations to photons, coherent states and absorption and emission of photons. Following this is a unique master-level presentation on dissipative quantum mechanics, before the textbook concludes with a short introduction to relativistic quantum mechanics, covering the Dirac equation and a relativistic second quantization formalism. The textbook includes 70 end-of-chapter problems. Solutions to some problems are given at the end of the chapter and full solutions to all problems are available for instructors at www.cambridge.org/9780521761505.



2.

Record Nr.

UNINA9910735793903321

Autore

Wang Peigang, PhD

Titolo

Study on Quality of Life of Chinese Residents with Social Change / / by Peigang Wang

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023

ISBN

981-9922-21-6

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (166 pages)

Disciplina

610

Soggetti

Well-being

Quality of life

Social evolution

Well-Being

Quality of Life Research

Social Evolution

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Research significance, concept definition and research framework -- Progress and review of quality of life research in China and the West -- Quality of Life theory and development in historical evolution -- The diagnosis of structural classification schema of subjective well-being -- An empirical study on influencing factors of subjective well-being of urban residents -- A study on the differences of Subjective Well-being between Urban and rural residents and its influencing factors -- Study on the influence mechanism of leisure style on quality of life -- Study on social change and health status of urban residents -- Research on the dynamic trend of Chinese residents' subjective well-being -- Social change and well-being: a stratified age-period-birth cohort study -- Research on trend and dynamic evaluation of social development quality -- Critical dimensions and future prospects of quality of life research. .

Sommario/riassunto

This book makes a systematic empirical analysis of the quality of life of Chinese residents from the perspective of social change, expounds the connotation, theory, elements, and research methodology of the quality of life, and focuses on the diachronic dynamic analysis of the



multidimensional elements of the quality of life from the perspective of life course and life cycle. According to the research content, the book is divided into three topics. The first topic, from the first chapter to the third chapter, mainly focuses on the quality of life research and theoretical evolution, providing theoretical guidance for the empirical analysis of the book and scientific significance for the study of the quality of life in social change. The second project, from Chapter 4 to Chapter 7, focuses on the influence factors of quality of life of a Chinese resident, structure composition, and the relationship between the related factors to conduct empirical research, the purpose is to more clearly understand the present status of life quality in the Chinese culture, for the further scientific research was related to quality of life to provide the basic framework. The third topic, from Chapter 8 to Chapter 13, focuses on empirical analysis of the changes and development of subjective and objective quality of life of Chinese residents.