Mahan, Gerald D.
Overview
Works:  38 works in 212 publications in 1 language and 4,171 library holdings 

Genres:  Textbooks Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor 
Classifications:  QC176, 530.41 
Publication Timeline
.
Most widely held works by
Gerald D Mahan
Manyparticle physics by
Gerald D Mahan(
Book
)
69 editions published between 1980 and 2014 in English and Undetermined and held by 1,213 WorldCat member libraries worldwide
This textbook is for a course in advanced solidstate theory. It is aimed at graduate students in their third or fourth year of study who wish to learn the advanced techniques of solidstate theoretical physics. The method of Green's functions is introduced at the beginning and used throughout. Indeed, it could be considered a book on practical applications of Green's functions, although I prefer to call it a book on physics. The method of Green's functions has been used by many theorists to derive equations which, when solved, provide an accurate numerical description of many processes in solids and quantum fluids. In this book I attempt to summarize many of these theories in order to show how Green's functions are used to solve real problems. My goal, in writing each section, is to describe calculations which can be compared with experiments and to provide these comparisons whenever available. The student is expected to have a background in quantum mechanics at the level acquired from a graduate course using the textbook by either L.I. Schiff, A.S. Davydov, or I. Landau and E.M. Lifshiftz. Similarly, a prior course in solidstate physics is expected, since the reader is assumed to know concepts such as Brillouin zones and energy band theory. Each chapter has problems which are an important part of the lesson; the problems often provide physical insights which are not in the text. Sometimes the answers to the problems are provided, but usually not
69 editions published between 1980 and 2014 in English and Undetermined and held by 1,213 WorldCat member libraries worldwide
This textbook is for a course in advanced solidstate theory. It is aimed at graduate students in their third or fourth year of study who wish to learn the advanced techniques of solidstate theoretical physics. The method of Green's functions is introduced at the beginning and used throughout. Indeed, it could be considered a book on practical applications of Green's functions, although I prefer to call it a book on physics. The method of Green's functions has been used by many theorists to derive equations which, when solved, provide an accurate numerical description of many processes in solids and quantum fluids. In this book I attempt to summarize many of these theories in order to show how Green's functions are used to solve real problems. My goal, in writing each section, is to describe calculations which can be compared with experiments and to provide these comparisons whenever available. The student is expected to have a background in quantum mechanics at the level acquired from a graduate course using the textbook by either L.I. Schiff, A.S. Davydov, or I. Landau and E.M. Lifshiftz. Similarly, a prior course in solidstate physics is expected, since the reader is assumed to know concepts such as Brillouin zones and energy band theory. Each chapter has problems which are an important part of the lesson; the problems often provide physical insights which are not in the text. Sometimes the answers to the problems are provided, but usually not
A guide to physics problems by
Sidney B Cahn(
)
6 editions published between 1997 and 2004 in English and held by 712 WorldCat member libraries worldwide
This text features 182 challenging problems with detailed solutions, textbook references, clear illustrations, and an easytouse layout
6 editions published between 1997 and 2004 in English and held by 712 WorldCat member libraries worldwide
This text features 182 challenging problems with detailed solutions, textbook references, clear illustrations, and an easytouse layout
A guide to physics problems by
Sidney B Cahn(
Book
)
21 editions published between 1994 and 2008 in English and held by 567 WorldCat member libraries worldwide
Thermodynamics and Statistical Physics: Introductory Thermodynamics: Why Bother? Space Station Pressure. Heat and Work: Cylinder with Massive Piston. Spring Cylinder. Ideal Gas and Classical Statistics: Poison Distribution in Ideal Gas. Polarization of Ideal Gas. Nonideal Gas: Heat Capacities. Return of Heat Capacities. Mixtures and Phase Separation: Entropy of Mixing. Leaky Balloon. Quantum Statistics: Fermi Energy of a 1D Electron Gas. TwoDimensional Fermi Gas. Fluctuations: Magnetization Fluctuation. Gas Fluctuations. Applications to Solid State: Thermal expansion and Heat Capacity. Schottky Defects. Quantum Mechanics: OneDimensional Potentials: Shallow Square Well I. Shallow Square Well II. Harmonic Oscillator: Given a Gaussian. Harmonic Oscillator ABC's. Angular Momentum and Spin: Given Another Eigenfunction. Algebra of Angular Momentum. Variational Caluculations: Anharmonic Oscillator. Linear Potential I. Perturbation Theory: Momentum Perturbation. WKB: Bouncing Ball. Scattering Theory: StepDown Potential. General: Spherical Box with Hole. Appendices: 154 Additional Problems
21 editions published between 1994 and 2008 in English and held by 567 WorldCat member libraries worldwide
Thermodynamics and Statistical Physics: Introductory Thermodynamics: Why Bother? Space Station Pressure. Heat and Work: Cylinder with Massive Piston. Spring Cylinder. Ideal Gas and Classical Statistics: Poison Distribution in Ideal Gas. Polarization of Ideal Gas. Nonideal Gas: Heat Capacities. Return of Heat Capacities. Mixtures and Phase Separation: Entropy of Mixing. Leaky Balloon. Quantum Statistics: Fermi Energy of a 1D Electron Gas. TwoDimensional Fermi Gas. Fluctuations: Magnetization Fluctuation. Gas Fluctuations. Applications to Solid State: Thermal expansion and Heat Capacity. Schottky Defects. Quantum Mechanics: OneDimensional Potentials: Shallow Square Well I. Shallow Square Well II. Harmonic Oscillator: Given a Gaussian. Harmonic Oscillator ABC's. Angular Momentum and Spin: Given Another Eigenfunction. Algebra of Angular Momentum. Variational Caluculations: Anharmonic Oscillator. Linear Potential I. Perturbation Theory: Momentum Perturbation. WKB: Bouncing Ball. Scattering Theory: StepDown Potential. General: Spherical Box with Hole. Appendices: 154 Additional Problems
Quantum mechanics in a nutshell by
Gerald D Mahan(
Book
)
17 editions published between 2009 and 2013 in English and held by 412 WorldCat member libraries worldwide
"Covering the fundamentals as well as many special topics of current interest, this is the most concise, uptodate, and accessible graduatelevel textbook on quantum mechanics available. Written by Gerald Mahan, a distinguished research physicist and author of an acclaimed textbook on manyparticle physics, Quantum Mechanics in a Nutshell is the distillation of many years' teaching experience." "Quantum Mechanics in a Nutshell expertly addresses traditional and modern topics, including perturbation theory, WKBJ, variational methods, angular momentum, the Dirac equation, manyparticle wave functions, Casimir Force, and Bell's Theorem. And it treats many topics  such as the interactions between photons and electrons, scattering theory, and density functional theory  in exceptional depth."Jacket
17 editions published between 2009 and 2013 in English and held by 412 WorldCat member libraries worldwide
"Covering the fundamentals as well as many special topics of current interest, this is the most concise, uptodate, and accessible graduatelevel textbook on quantum mechanics available. Written by Gerald Mahan, a distinguished research physicist and author of an acclaimed textbook on manyparticle physics, Quantum Mechanics in a Nutshell is the distillation of many years' teaching experience." "Quantum Mechanics in a Nutshell expertly addresses traditional and modern topics, including perturbation theory, WKBJ, variational methods, angular momentum, the Dirac equation, manyparticle wave functions, Casimir Force, and Bell's Theorem. And it treats many topics  such as the interactions between photons and electrons, scattering theory, and density functional theory  in exceptional depth."Jacket
Condensed matter in a nutshell by
Gerald D Mahan(
Book
)
17 editions published between 2010 and 2013 in English and held by 363 WorldCat member libraries worldwide
An introduction to the area of condensed matter in a nutshell. This textbook covers the standard topics, including crystal structures, energy bands, phonons, optical properties, ferroelectricity, superconductivity, and magnetism
17 editions published between 2010 and 2013 in English and held by 363 WorldCat member libraries worldwide
An introduction to the area of condensed matter in a nutshell. This textbook covers the standard topics, including crystal structures, energy bands, phonons, optical properties, ferroelectricity, superconductivity, and magnetism
Local density theory of polarizability by
Gerald D Mahan(
Book
)
13 editions published between 1990 and 2013 in English and held by 300 WorldCat member libraries worldwide
During the past decade the theoretical physics community has learned how to evaluate accurately polarizabilities and susceptibilities for manyelectron systems such as atoms, solids, and liquids. The most accurate numerical technique employs a method often called the TimeDependent Local Density Approximation, which is abbreviated TDLDA. The present volume is a review of recent research on the theory of po larizabilities and susceptibilities. Both authors have been doing these cal culations. However, this review surveys the entire field, summarizing the research of many contributors. The application of an external field, either ac or de, will induce a dipole moment which can be calculated and compared with experiment. For mod erately strong fields, both linear and nonlinear processes contribute to the moment. We cover topics such as polarizability, hyperpolarizability, pho toionization, phonons, and piezoelectricity. Density functional theory in the Local Density Approximation (LDA) has been shown to be a very accurate method for calculating ground state prop erties of electronic system. For static external fields, the induced moments are properties of the ground state. Then the calculation of the polarizability · is very accurate. For ac fields, the moment is not part of the ground state. However, the TDLDA methods are still very accurate
13 editions published between 1990 and 2013 in English and held by 300 WorldCat member libraries worldwide
During the past decade the theoretical physics community has learned how to evaluate accurately polarizabilities and susceptibilities for manyelectron systems such as atoms, solids, and liquids. The most accurate numerical technique employs a method often called the TimeDependent Local Density Approximation, which is abbreviated TDLDA. The present volume is a review of recent research on the theory of po larizabilities and susceptibilities. Both authors have been doing these cal culations. However, this review surveys the entire field, summarizing the research of many contributors. The application of an external field, either ac or de, will induce a dipole moment which can be calculated and compared with experiment. For mod erately strong fields, both linear and nonlinear processes contribute to the moment. We cover topics such as polarizability, hyperpolarizability, pho toionization, phonons, and piezoelectricity. Density functional theory in the Local Density Approximation (LDA) has been shown to be a very accurate method for calculating ground state prop erties of electronic system. For static external fields, the induced moments are properties of the ground state. Then the calculation of the polarizability · is very accurate. For ac fields, the moment is not part of the ground state. However, the TDLDA methods are still very accurate
Superionic conductors : [proceedings] by
Gerald D Mahan(
Book
)
18 editions published in 1976 in English and held by 288 WorldCat member libraries worldwide
A hundred and eighty five chemists, physicists, and engineers met in Schenectady, New York, for the three days May 1012, 1976, to discuss the subject of Superionic Conductors. This International Conference was held at the Research and Development Center of the General Electric Company. The subject of the Conference was fast ion transport in solids. These materials have potential application in new types of batteries, fuel cells, and sensors. Some like beta alumina are under active development in nov'el new systems. Their study has also become a popular area of scientific investigation. One objective of the Conference was to provide a forum for interdisciplinary communication between chemists, physicists, and engineers. The Conference was an attempt to bring these groups together, in order to listen to each others problems and progress. We began organizing the Conference in the spring of 1975. It was suggested to General Electric managers Drs. Craig S. Tedmon, Jr. and Roland W. Schmitt. They provided immediate and enthusiastic support. They also provided the advice, staff, and backup which were necessary at all points in the planning and duration of the Conference. We were also pleased that they could participate in the Conference: Dr. Tedmon welcomed the participants and officially opened the Conference, and Dr. Schmitt gave the after banquet address. We thank them. Additional and invaluable help, and advice, were also provided by Drs. D. Chatterji, J.B. Bush, G.W. Ludwig, and J.B. Comly. We were joined on the program committee by Drs
18 editions published in 1976 in English and held by 288 WorldCat member libraries worldwide
A hundred and eighty five chemists, physicists, and engineers met in Schenectady, New York, for the three days May 1012, 1976, to discuss the subject of Superionic Conductors. This International Conference was held at the Research and Development Center of the General Electric Company. The subject of the Conference was fast ion transport in solids. These materials have potential application in new types of batteries, fuel cells, and sensors. Some like beta alumina are under active development in nov'el new systems. Their study has also become a popular area of scientific investigation. One objective of the Conference was to provide a forum for interdisciplinary communication between chemists, physicists, and engineers. The Conference was an attempt to bring these groups together, in order to listen to each others problems and progress. We began organizing the Conference in the spring of 1975. It was suggested to General Electric managers Drs. Craig S. Tedmon, Jr. and Roland W. Schmitt. They provided immediate and enthusiastic support. They also provided the advice, staff, and backup which were necessary at all points in the planning and duration of the Conference. We were also pleased that they could participate in the Conference: Dr. Tedmon welcomed the participants and officially opened the Conference, and Dr. Schmitt gave the after banquet address. We thank them. Additional and invaluable help, and advice, were also provided by Drs. D. Chatterji, J.B. Bush, G.W. Ludwig, and J.B. Comly. We were joined on the program committee by Drs
Applied mathematics by
Gerald D Mahan(
Book
)
9 editions published between 2001 and 2002 in English and held by 188 WorldCat member libraries worldwide
This is a textbook for a twosemester graduate course in Mathematical Methods in Physics. Most universities give this course, which is often taught jointly with the Engineering or Mathematics Departments. General topics include: group theory, linear equations, matrices, series, functions of complex variables, conformal mapping, special functions, and partial differential equations. Each chapter has numerous homework problems. The section on transforms includes those on Fourier and Laplace, as well as the modern topic of wavelets. The chapters on partial differential equations include: Laplace's, Poisson's, Helmholtz, diffusion, and wave equations. Problems are treated in one, two, and three dimensions
9 editions published between 2001 and 2002 in English and held by 188 WorldCat member libraries worldwide
This is a textbook for a twosemester graduate course in Mathematical Methods in Physics. Most universities give this course, which is often taught jointly with the Engineering or Mathematics Departments. General topics include: group theory, linear equations, matrices, series, functions of complex variables, conformal mapping, special functions, and partial differential equations. Each chapter has numerous homework problems. The section on transforms includes those on Fourier and Laplace, as well as the modern topic of wavelets. The chapters on partial differential equations include: Laplace's, Poisson's, Helmholtz, diffusion, and wave equations. Problems are treated in one, two, and three dimensions
Thermodynamics, statistical physics, and quantum mechanics by
Sidney B Cahn(
)
1 edition published in 2004 in English and held by 43 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 43 WorldCat member libraries worldwide
A guide to physics problems by
Sidney B Cahn(
)
2 editions published in 2004 in English and held by 17 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 17 WorldCat member libraries worldwide
Quantum transport equation for electric and magnetic fields by
Gerald D Mahan(
Book
)
2 editions published in 1987 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 11 WorldCat member libraries worldwide
Mechanics, relativity, and electrodynamics by
Sidney B Cahn(
Book
)
1 edition published in 1994 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 9 WorldCat member libraries worldwide
Some optical properties of dielectrics by
Gerald D Mahan(
)
5 editions published between 1959 and 1964 in English and held by 5 WorldCat member libraries worldwide
5 editions published between 1959 and 1964 in English and held by 5 WorldCat member libraries worldwide
Solutions manual [to accompany] Quantum mechanics in a nutshell by
Gerald D Mahan(
Book
)
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
A guide to physics problems by
Sidney B Cahn(
Book
)
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
A guide to physics problems by
Sidney B Cahn(
Book
)
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
The thermoelectric properties of strongly correlated systems by
Jianwei Cai(
)
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 3 WorldCat member libraries worldwide
A guide to physics problems by
Sidney B Cahn(
Book
)
in English and held by 3 WorldCat member libraries worldwide
in English and held by 3 WorldCat member libraries worldwide
Fewbody properties of interacting spins in IIIV semiconductors by Ryan Woodworth(
)
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
We perform theoretical analyses of several novel device applications which make use of the distinctive electronic and optical properties of IIIV semiconductors. Electron spins in semiconductor quantum dots are a promising candidate for the physical realization of a solidstate quantum computer. Whenever three or more spins interact simultaneously, the system's full Hamiltonian is found to include nonlinear interactions that significantly influence its dynamics in experimentally relevant parameter regimes. We consider the implications of these results for the proposed implementations of known quantum algorithms; in particular, we describe a method for circumventing the fourbody effects in an encoded system (four spins per logical bit) by the appropriate tuning of material parameters. We calculate the spin coherence lifetime of a conduction electron in a semiconductor due to exchange scattering from neutral donors. The average lifetime is computed in two and in three dimensions using the Born approximation. We find that, for realistic values of the impurity concentrations, these lifetimes are comparable to those of spin decoherence mechanisms commonly ascribed to experimentally observed lifetimes. We also develop a numerical model for charge diffusion in a GaAs heterostructure laser. We construct and solve rate equations for conduction electrons coupled to a single optical cavity mode in a microdisk. Our results extend previous theoretical approaches to diffusion and are consistent with applicable experiments
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
We perform theoretical analyses of several novel device applications which make use of the distinctive electronic and optical properties of IIIV semiconductors. Electron spins in semiconductor quantum dots are a promising candidate for the physical realization of a solidstate quantum computer. Whenever three or more spins interact simultaneously, the system's full Hamiltonian is found to include nonlinear interactions that significantly influence its dynamics in experimentally relevant parameter regimes. We consider the implications of these results for the proposed implementations of known quantum algorithms; in particular, we describe a method for circumventing the fourbody effects in an encoded system (four spins per logical bit) by the appropriate tuning of material parameters. We calculate the spin coherence lifetime of a conduction electron in a semiconductor due to exchange scattering from neutral donors. The average lifetime is computed in two and in three dimensions using the Born approximation. We find that, for realistic values of the impurity concentrations, these lifetimes are comparable to those of spin decoherence mechanisms commonly ascribed to experimentally observed lifetimes. We also develop a numerical model for charge diffusion in a GaAs heterostructure laser. We construct and solve rate equations for conduction electrons coupled to a single optical cavity mode in a microdisk. Our results extend previous theoretical approaches to diffusion and are consistent with applicable experiments
A guide to physics problems. Pt. 2. Thermodynamics, statistical physics, and quantum mechanics by
Sidney B Cahn(
Book
)
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
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Associated Subjects
Condensed matter Crystallography Electrodynamics Electromagnetism Engineering Green's functions Ionic crystals IonsMigration and velocity Manybody problem Mathematical physics Mathematics Mechanics Nuclear physics Photon emission PhotonsScattering Physical organic chemistry Physics Polarizability (Electricity) Quantum computing Quantum theory Relativity Relativity (Physics) Scattering (Physics) Solid state chemistry Solid state physics Statistical physics Superionic conductors Surfaces (Physics) Thermodynamics
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Alternative Names
Mahan, G. 1937
Mahan, G. D.
Mahan, G. D. 1937
Mahan, Gerald 1937
Mahan, Gerald D.
Mahan, Gerald Dennis 1937
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