Theoretical Physics - Honerkamp, Josef; Römer, Hartmann
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This introduction to classical theoretical physics emerged from a course for students in the third and fourth semester, which the authors have given several times at the University of Freiburg (Germany). The goal of the course is to give the student a comprehensive and coherent overview of the principal areas of classical theoretical physics. In line with this goal, the content, the terminology, and the mathematical techniques of theoret ical physics are all presented along with applications, to serve as a solid foundation for further courses in the basic areas of experimental and theoretical…mehr

Produktbeschreibung
This introduction to classical theoretical physics emerged from a course for students in the third and fourth semester, which the authors have given several times at the University of Freiburg (Germany). The goal of the course is to give the student a comprehensive and coherent overview of the principal areas of classical theoretical physics. In line with this goal, the content, the terminology, and the mathematical techniques of theoret ical physics are all presented along with applications, to serve as a solid foundation for further courses in the basic areas of experimental and theoretical physics. In conceiving the course, the authors had four interdependent goals in mind: - the presentation of a consistent overview, even at this elementary level - the establishment of a well-balanced interactive relationship between phys ical content and mathematical methods - a demonstration of the important applications of physics, and - an acquisition of the most important mathematical techniques needed to solve specific problems. In relation to the first point, it was necessary to limit the amount of material treated. This introductory course was not intended to preempt a later, primarily On the other hand, we aimed for a certain completeness in theoretical, course.
  • Produktdetails
  • Verlag: Springer, Berlin
  • Softcover reprint of the original 1st ed. 1993
  • Seitenzahl: 588
  • Erscheinungstermin: 16. Dezember 2011
  • Englisch
  • Abmessung: 235mm x 155mm x 31mm
  • Gewicht: 878g
  • ISBN-13: 9783642779862
  • ISBN-10: 3642779867
  • Artikelnr.: 36113506
Autorenporträt
Josef Honerkamp hat mehr als 30 Jahre als Professor für Theoretische Physik gelehrt, zunächst an der Universität Bonn, dann viele Jahre an der Universität Freiburg. Er ist Autor mehrere Lehrbücher, im Rahmen seiner Forschungstätigkeit hat er auf folgenden Gebieten gearbeitet: Quantenfeldtheorie, Statistische Mechanik, Nichtlineare Systeme und Stochastische Dynamische Systeme. Er ist Mitglied der Heidelberger Akademie der Wissenschaften.
Inhaltsangabe
1. Introduction.- 2. Newtonian Mechanics.- 2.1 Space and Time in Classical Mechanics.- 2.2 Newton's Laws.- 2.3 A Few Important Force Laws.- 2.4 The Energy of a Particle in a Force Field.- 2.4.1 Line Integrals.- 2.4.2 Work and Energy.- 2.5 Several Interacting Particles.- 2.6 Momentum and Momentum Conservation.- 2.7 Angular Momentum.- 2.8 The Two-Body Problem.- 2.9 The Kepler Problem.- 2.10 Scattering.- 2.10.1 Relative Motion in the Scattering Process.- 2.10.2 The Center of Mass System and the Laboratory System.- 2.11 The Scattering Cross-Section.- 2.12 The Virial Theorem.- 2.13 Mechanical Similarity.- 2.14 Some General Observations About the Many-Body Problem.- Problems.- 3. Lagrangian Methods in Classical Mechanics.- 3.1 A Sketch of the Problem and Its Solution in the Case of a Pendulum.- 3.2 The Lagrangian Method of the First Type.- 3.3 The Lagrangian Method of the Second Type.- 3.4 The Conservation of Energy in Motions Which are Limited by Constraints.- 3.5 Non-holonomic Constraints.- 3.6 Invariants and Conservation Laws.- 3.7 The Hamiltonian.- 3.7.1 Lagrange's Equations and Hamilton's Equations.- 3.7.2 Aside on the Further Development of Theoretical Mechanics and the Theory of Dynamical Systems.- 3.8 The Hamiltonian Principle of Stationary Action.- 3.8.1 Functionals and Functional Derivatives.- 3.8.2 Hamilton's Principle.- 3.8.3 Hamilton's Principle for Systems with Holonomic Constraints.- Problems.- 4. Rigid Bodies.- 4.1 The Kinematics of the Rigid Body.- 4.2 The Inertia Tensor and the Kinetic Energy of a Rigid Body.- 4.2.1 Definition and Elementary Properties of the Inertia Tensor.- 4.2.2 Calculation of Inertia Tensors.- 4.3 The Angular Momentum of a Rigid Body, Euler's Equations.- 4.4 The Equations of Motion for the Eulerian Angles.- Problems.- 5. Motion in a Noninertial System of Reference.- 5.1 Fictitious Forces in Noninertial Systems.- 5.2 Foucault's Pendulum.- 6. Linear Oscillations.- 6.1 Linear Approximations About a Point of Equilibrium.- 6.2 A Few General Remarks About Linear Differential Equations.- 6.3 Homogeneous Linear Systems with One Degree of Freedom and Constant Coefficients.- 6.4 Homogeneous Linear Systems with n Degrees of Freedom and Constant Coefficients.- 6.4.1 Normal Modes and Eigenfrequencies.- 6.4.2 Examples of the Calculation of Normal Modes.- 6.5 The Response of Linear Systems to External Forces.- 6.5.1 External Oscillating Forces.- 6.5.2 Superposition of External Harmonic Forces.- 6.5.3 Periodic External Forces.- 6.5.4 Arbitrary External Forces.- Problems.- 7. Classical Statistical Mechanics.- 7.1 Thermodynamic Systems and Distribution Functions.- 7.2 Entropy.- 7.3 Temperature, Pressure, and Chemical Potential.- 7.3.1 Systems with Exchange of Energy.- 7.3.2 Systems with an Exchange of Volume.- 7.3.3 Systems with Exchanges of Energy and Particles.- 7.4 The Gibbs Equation and the Forms of Energy Exchange.- 7.5 The Canonical Ensemble and the Free Energy.- 7.6 Thermodynamic Potentials.- 7.7 Material Constants.- 7.8 Changes of State.- 7.8.1 Reversible and Irreversible Processes.- 7.8.2 Adiabatic and Non-adiabatic Processes.- 7.8.3 The Joule-Thomson Process.- 7.9 The Transformation of Heat into Work, the Carnot Efficiency.- 7.10 The Laws of Thermodynamics.- 7.11 The Phenomenological Basis of Thermodynamics.- 7.11.1 Thermodynamics and Statistical Mechanics.- 7.11.2 The First Law of Thermodynamics.- 7.11.3 The Second and Third Laws.- 7.11.4 The Thermal and Caloric Equations of State.- 7.12 Equilibrium and Stability Conditions.- 7.12.1 Equilibrium and Stability in Exchange Processes.- 7.12.2 Equilibrium, Stability and Thermodynamic Potentials.- Problems.- 8. Applications of Thermodynamics.- 8.1 Phase Transformations and Phase Diagrams.- 8.2 The Latent Heat of Phase Transitions.- 8.3 Solutions.- 8.4 Henry's Law, Osmosis.- 8.4.1 Henry's Law.- 8.4.2 Osmosis.- 8.5 Phase Transitions in Solutions.- 8.5.1 Case (2): Miscibility in Only One Phase.- 8.5.2 Case (3): Miscibility in Two Phases.- Problem.- 9. Elem