Green's Functions in Quantum Physics

Green's Functions in Quantum Physics

1983 | E. N. Economou
The provided text is a detailed overview of the Springer Series in Solid-State Sciences, edited by Peter Fulde and other editors, and includes a specific volume titled "Green's Functions in Quantum Physics" by Eleftherios N. Economou. The book is divided into three main parts: 1. **Part I: Green's Functions in Mathematical Physics** covers the formalism and examples of time-independent and time-dependent Green's functions in various dimensions. 2. **Part II: Green's Functions in One-Body Quantum Problems** applies the formalism to one-body quantum problems, including free particles, perturbation theory, tight-binding Hamiltonians, and single impurity scattering. It also discusses the Kondo effect and disordered systems. 3. **Part III: Green's Functions in Many-Body Systems** introduces the concept of many-body Green's functions, their properties, and computational methods. It explores applications in normal Fermi systems, high-density electron gases, and dilute Fermi gases. The book is designed to be accessible to both solid-state physicists and graduate students in quantum mechanics, providing a comprehensive introduction to the use of Green's functions in quantum physics. The second edition includes significant expansions and updates, particularly in the areas of tight-binding approaches, superconductivity, and wave propagation in disordered media.The provided text is a detailed overview of the Springer Series in Solid-State Sciences, edited by Peter Fulde and other editors, and includes a specific volume titled "Green's Functions in Quantum Physics" by Eleftherios N. Economou. The book is divided into three main parts: 1. **Part I: Green's Functions in Mathematical Physics** covers the formalism and examples of time-independent and time-dependent Green's functions in various dimensions. 2. **Part II: Green's Functions in One-Body Quantum Problems** applies the formalism to one-body quantum problems, including free particles, perturbation theory, tight-binding Hamiltonians, and single impurity scattering. It also discusses the Kondo effect and disordered systems. 3. **Part III: Green's Functions in Many-Body Systems** introduces the concept of many-body Green's functions, their properties, and computational methods. It explores applications in normal Fermi systems, high-density electron gases, and dilute Fermi gases. The book is designed to be accessible to both solid-state physicists and graduate students in quantum mechanics, providing a comprehensive introduction to the use of Green's functions in quantum physics. The second edition includes significant expansions and updates, particularly in the areas of tight-binding approaches, superconductivity, and wave propagation in disordered media.
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