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Quantum Theory of Conducting Matter Newtonian Equations of Motion for a Bloch Electron

:	Shigeji Fujita, Kei Ito
:	Quantum Theory of Conducting Matter Newtonian Equations of Motion for a Bloch Electron
:	Springer-Verlag
:	9780387741031
:	1
:	CHF 89.50
:

:	Theoretische Physik
:	English

:	244
:	Wasserzeichen/DRM
:	PC/MAC/eReader/Tablet
:	PDF

In a complex field, this work is a first. The authors make an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. They do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor. The authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect.

Shigeji Fujita is Professor of Physics at State University of New York at Buffalo and has published 3 books with the Springer family since 1996. His areas of expertise include statistical physics, solid and liquid state physics, superconductivity and Quantum Hall Effect theory.

Kei Ito is also a Professor of Physics at the State University of New York at Buffalo, while on leave from the National Center for University Entrance Examinations in Tokyo, Japan.

	Preface	5
	Contents	8
	Constants, Signs, Symbols, and General Remarks	12
	Part I Preliminaries	19
	Chapter 1 Introduction	20
	1.1 Crystal Lattices	20
	1.2 Theoretical Background	22
	Chapter 2 Lattice Vibrations and Heat Capacity	27
	2.1 Einstein’s Theory of Heat Capacity	27
	2.2 Debye’s Theory of Heat Capacity	31
	Chapter 3 Free Electrons and Heat Capacity	41
	3.1 Free Electrons and the Fermi Energy	41
	3.2 Density of States	46
	3.3 Qualitative Discussions	52
	3.4 Quantitative Calculations	54
	Chapter 4 Electric Conduction and the Hall Effect	59
	4.1 Ohm’s Law and Matthiessen’s Rule	59
	4.2 Motion of a Charged Particle in Electromagnetic Fields	62
	4.3 The Landau States and Levels	64
	4.4 The Degeneracy of the Landau Levels	67
	4.5 The Hall Effect: “Electrons” and “Holes”	72
	Chapter 5 Magnetic Susceptibility	76
	5.1 The Magnetogyric Ratio	76
	5.2 Pauli Paramagnetism	79
	5.3 Landau Diamagnetism	82
	Chapter 6 Boltzmann Equation Method	89
	6.1 The Boltzmann Equation	89
	6.2 The Current Relaxation Rate	92
	Part II Bloch Electron Dynamics	97
	Chapter 7 Bloch Theorem	98
	7.1 The Bloch Theorem	98
	7.2 The Kronig–Penney Model	104
	Chapter 8 The Fermi Liquid Model	109
	8.1 The Self-consistent Field Approximation	109
	8.2 Fermi Liquid Model	111
	Chapter 9 The Fermi Surface	114
	9.1 Monovalent Metals (Na, Cu)	114
	9.2 Multivalent Metals	118
	9.3 Electronic Heat Capacity and Density of States	122
	Chapter 10 Bloch Electron Dynamics	126
	10.1 Introduction	126
	10.2 Newtonian Equations of Motion	128
	10.3 Discussion	134
	Part III Applications Fermionic Systems ( Electrons)	142
	Chapter 11 De Haas– Van Alphen Oscillations	143
	11.1 Onsager’s Formula	143
	11.2 Statistical Mechanical Calculations: 3D	149
	11.3 Statistical Mechanical Calculations: 2D	152
	11.4 Two-Dimensional Conductors	157
	Chapter 12 Magnetoresistance	160
	12.1 Introduction	160
	12.2 Anisotropic Magnetoresistance in Cu	162
	12.3 Shubnikov–De Haas Oscillations	164
	12.4 Heterojunction GaAs/AlGaAs	170
	Chapter 13 Cyclotron Resonance	179
	13.1 Introduction	179
	13.2 Cyclotron Resonance in Ge and Si	180
	13.3 Cyclotron Resonance in Al	192
	13.4 Cyclotron Resonance in Pb	196
	13.5 Cyclotron Resonance in Zn and Cd ( HCP)	200
	Chapter 14 Seebeck Coefficient ( Thermopower)	203
	14.1 Introduction	203
	14.2 Quantum Theory	205
	14.3 Discussion	208
	Chapter 15 Infrared Hall Effect	213
	15.1 Introduction	213
	15.2 Kinetic Theory	217
	15.3 Discussion	221
	Appendix A Electromagnetic Potentials	224
	Appendix B Statistical Weight for the Landau States	228
	B.1 The Three-Dimensional Case	228
	B.2 The Two-Dimensional Case	230
	Appendix C Derivation of Equation (11.19)	231
	References	232
	Chapter 1	232
	Chapter 2	232
	Chapter 3	232
	Chapter 4	232
	Chapter 5	232
	Chapter 7	233
	Chapter 8	233
	Chapter 9	233
	Chapter 10	233
	Chapter 11	234
	Chapter 12	234
	Chapter 13	235
	Chapter 14	235
	Chapter 15	236
	Appendix B	236
	Appendix C	236
	Bibliography	237
	Solid State Physics	237
	Background	237
	Index	240