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Ein umfassendes Lehrbuch der Quantenphysik und Chemie sowie der Struktur von Materie. Eignet sich für Anfänger und Fortgeschrittene und bietet zusätzlich Online-Übungen zur Überprüfung des Lehrstoffes, Laborübungen mit Mathematica sowie ein komplettes Lösungshandbuch.
Ein umfassendes Lehrbuch der Quantenphysik und Chemie sowie der Struktur von Materie. Eignet sich für Anfänger und Fortgeschrittene und bietet zusätzlich Online-Übungen zur Überprüfung des Lehrstoffes, Laborübungen mit Mathematica sowie ein komplettes Lösungshandbuch.
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Autorenporträt
Stefanos Trachanas is an educator, author, and publisher. For over 35 years he has taught most of the core undergraduate courses at the Physics Department of the University of Crete. His books on quantum mechanics and differential equations are used as primary textbooks in most Greek University Departments of Physics, Chemistry, Materials Science, and Engineering. He is a cofounder of Crete University Press, which he led as Director from 1984 until his retirement in 2013. His awards include an honorary doctorate from the University of Crete, the Xanthopoulos-Pnevmatikos national award for excellence in academic teaching, and the Knight Commander of the Order of Phoenix, bestowed by the President of Greece. Manolis Antonoyiannakis is an Associate Editor and Bibliostatistics Analyst at the American Physical Society, and an Adjunct Associate Research Scientist at the Department of Applied Physics & Applied Mathematics at Columbia University, USA. He received his PhD from Imperial College London, UK. His editorial experience in the Physical Review journals stimulated his interest in statistical, sociological, and historical aspects of peer review, but also in scientometrics and information science. He is currently developing data science tools to analyze scientific publishing and enhance research assessment. Leonidas Tsetseris is an Associate Professor at the School of Applied Mathematical and Physical Sciences of the National Technical University of Athens, Greece. He obtained his PhD from the University of Illinois at Urbana-Champaign, USA. His research expertise is on computational condensed matter physics and materials science, particularly quantum-mechanical studies on emerging materials. He has taught a variety of university courses, including classical mechanics, electromagnetism, quantum mechanics, and solid state physics.
Inhaltsangabe
Foreword
PART I: Fundamental Principles
THE PRINCIPLE OF WAVE-PARTICLE DUALITY: AN OVERVIEW The Principle of Wave-Particle Duality of Light The Principle of Wave-Particle Duality of Matter Dimensional Analysis and Quantum Physics
THE SCHRÖDINGER EQUATION AND ITS STATISTICAL INTERPRETATION
INTRODUCTION: The wave-particle duality as the fundamental law of modern quantum mechanics The Schrödinger Equation Statistical Interpretation of Quantum Mechanics Further Development of the Statistical Interpretation: The Mean-Value Formula Time Evolution of Wavefunctions: Superposition States and Further Development of the Statistical Interpretation Self-Consistency of the Statistical Interpretation and the Mathematical Structure of Quantummechanics Summary: Quantum Mechanics in a Nutshell
THE UNCERTAINTY PRINCIPLE The Position-Momentum Uncertainty Principle The Time-Energy Uncertainty Principle The Uncertainty Principle in the Classical Limit General Investigation of the Uncertainty Principle
PART II. Simple Quantum Systems
SQUARE POTENTIALS I Particle in a One-Dimensional Box: The Infinite Potential Well The Square Potential Well
SQUARE POTENTIALS II The Square Potential Step: Reflection and Transmission Rectangular Potential Barrier: Tunneling Effect
THE HARMONIC OSCILLATOR Solution of the Schrödinger Eequation Discussion of the Results A Plausible Question: Can we use the Polynomial Method to Solve Potentials other than the Harmonic Oscillator?
THE POLYNOMIAL METHOD Sufficient Conditions for the Existence of Polynomial Solutions: Bidimensional Equations The Polynomial Mehtod in Action: Exact Solution of the Krätzer and Morse Potentials Mathematical Afterword
THE HYDROGEN ATOM I Solving the Schrödinger Equation for the Spherically Symmetric Eigenfunctions Discussion of the Results What is the Electron Doing in the Hydrogen Atom after all? A First Discussion on the Basic Questions of Quantum Mechanics
THE HYDROGEN ATOM II The Schrödinger Equation in an Arbitrary Central Potential: The Method of Separation of Variables The Hydrogen Atom
ATOMS IN A MAGNETIC FIELD - THE EMERGENCE OF SPIN Atomic Electrons as Microscopiy Magnets: Magnetic Moment and Angular Momentum The Zeeman Effect and the Evidence for the Existence of Spin The Stern-Gerlach Experiment: Unequivocal Experimental Confirmation of the Existence of Spin What is Spin? Time Evolution of Spin in a Magnetic Field Total Angular Momentum of Atoms: Addition of Angular Momenta
IDENTICAL PARTICLES AND THE PAULI PRINCIPLE The Principle of Indistinguishability of Identical Particles in Quantum Mechanics Indistinguishability of Identical Particles and the Pauli Principle The Role of Spin: Complete Formulation of the Pauli Principle The Pauli Exclusion Principle Which Particles are Fermions and Which are Bosoms Exchange Degeneracy: The Problem and its Solution
PART III. Quantum Mechanics in Action: Structure of Matter
ATOMS Arrangement of Energy Levels in Many-Electron Atoms: The Screening Effect Quantum Mechanical Explanation of the Periodic Table: The "Small Periodic Table" Approximate Calculations in Atoms: Perturbation Theory and the Variational Method
MOLECULES I The Double-Well Model of Chemical Bonding Examples of Simple Molecules Molecular Spectra
MOLECULES II Hybridization: The First Basic Deviation from the Elementary Theory of the Chemical Bond Delocalization: The Second Basic Deviation from the Elementary Theory of the Chemical Bond
SOLID STATE Periodicity and Band Structure Band Structure and the "Mystery of Conductivity." Conductors, Semiconductors, Insulators Crystal Momentum, Effe
THE PRINCIPLE OF WAVE-PARTICLE DUALITY: AN OVERVIEW The Principle of Wave-Particle Duality of Light The Principle of Wave-Particle Duality of Matter Dimensional Analysis and Quantum Physics
THE SCHRÖDINGER EQUATION AND ITS STATISTICAL INTERPRETATION
INTRODUCTION: The wave-particle duality as the fundamental law of modern quantum mechanics The Schrödinger Equation Statistical Interpretation of Quantum Mechanics Further Development of the Statistical Interpretation: The Mean-Value Formula Time Evolution of Wavefunctions: Superposition States and Further Development of the Statistical Interpretation Self-Consistency of the Statistical Interpretation and the Mathematical Structure of Quantummechanics Summary: Quantum Mechanics in a Nutshell
THE UNCERTAINTY PRINCIPLE The Position-Momentum Uncertainty Principle The Time-Energy Uncertainty Principle The Uncertainty Principle in the Classical Limit General Investigation of the Uncertainty Principle
PART II. Simple Quantum Systems
SQUARE POTENTIALS I Particle in a One-Dimensional Box: The Infinite Potential Well The Square Potential Well
SQUARE POTENTIALS II The Square Potential Step: Reflection and Transmission Rectangular Potential Barrier: Tunneling Effect
THE HARMONIC OSCILLATOR Solution of the Schrödinger Eequation Discussion of the Results A Plausible Question: Can we use the Polynomial Method to Solve Potentials other than the Harmonic Oscillator?
THE POLYNOMIAL METHOD Sufficient Conditions for the Existence of Polynomial Solutions: Bidimensional Equations The Polynomial Mehtod in Action: Exact Solution of the Krätzer and Morse Potentials Mathematical Afterword
THE HYDROGEN ATOM I Solving the Schrödinger Equation for the Spherically Symmetric Eigenfunctions Discussion of the Results What is the Electron Doing in the Hydrogen Atom after all? A First Discussion on the Basic Questions of Quantum Mechanics
THE HYDROGEN ATOM II The Schrödinger Equation in an Arbitrary Central Potential: The Method of Separation of Variables The Hydrogen Atom
ATOMS IN A MAGNETIC FIELD - THE EMERGENCE OF SPIN Atomic Electrons as Microscopiy Magnets: Magnetic Moment and Angular Momentum The Zeeman Effect and the Evidence for the Existence of Spin The Stern-Gerlach Experiment: Unequivocal Experimental Confirmation of the Existence of Spin What is Spin? Time Evolution of Spin in a Magnetic Field Total Angular Momentum of Atoms: Addition of Angular Momenta
IDENTICAL PARTICLES AND THE PAULI PRINCIPLE The Principle of Indistinguishability of Identical Particles in Quantum Mechanics Indistinguishability of Identical Particles and the Pauli Principle The Role of Spin: Complete Formulation of the Pauli Principle The Pauli Exclusion Principle Which Particles are Fermions and Which are Bosoms Exchange Degeneracy: The Problem and its Solution
PART III. Quantum Mechanics in Action: Structure of Matter
ATOMS Arrangement of Energy Levels in Many-Electron Atoms: The Screening Effect Quantum Mechanical Explanation of the Periodic Table: The "Small Periodic Table" Approximate Calculations in Atoms: Perturbation Theory and the Variational Method
MOLECULES I The Double-Well Model of Chemical Bonding Examples of Simple Molecules Molecular Spectra
MOLECULES II Hybridization: The First Basic Deviation from the Elementary Theory of the Chemical Bond Delocalization: The Second Basic Deviation from the Elementary Theory of the Chemical Bond
SOLID STATE Periodicity and Band Structure Band Structure and the "Mystery of Conductivity." Conductors, Semiconductors, Insulators Crystal Momentum, Effe
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