# Physics formulary

 Автор(ы): Wevers J. C. A. 06.10.2007 Год изд.: 2001 Описание: This document is an overview of physics in 100 pages. Mechanics, electricity and magnetism, relativity, oscillations, waves, optics, statistical physics, thermodynamics, transport phenomena, quantum mechanics, plasma physics, solid state physics, group theory, nuclear physics, quantum field theory and particle physics, and astrophysics. It is written at advanced undergraduate/postgraduate level. It is intended to be a short reference for anyone who works with physics and often needs to look up equations. Оглавление: Physical Constants  1 Mechanics    1.1 Point-kinetics in a fixed coordinate system      1.1.1 Definitions      1.1.2 Polar coordinates    1.2 Relative motion    1.3 Point-dynamics in a fixed coordinate system      1.3.1 Force, (angular)momentum and energy      1.3.2 Conservative force fields      1.3.3 Gravitation      1.3.4 Orbital equations      1.3.5 The virial theorem    1.4 Point dynamics in a moving coordinate system      1.4.1 Apparent forces      1.4.2 Tensor notation    1.5 Dynamics of masspoint collections      1.5.1 The centre of mass      1.5.2 Collisions    1.6 Dynamics of rigid bodies      1.6.1 Moment of Inertia      1.6.2 Principal axes      1.6.3 Time dependence    1.7 Variational Calculus, Hamilton and Lagrange mechanics      1.7.1 Variational Calculus      1.7.2 Hamilton mechanics      1.7.3 Motion around an equilibrium, linearization      1.7.4 Phase space, Liouville's equation      1.7.5 Generating functions  2 Electricity & Magnetism    2.1 The Maxwell equations    2.2 Force and potential    2.3 Gauge transformations    2.4 Energy of the electromagnetic field    2.5 Electromagnetic waves      2.5.1 Electromagnetic waves in vacuum      2.5.2 Electromagnetic waves in matter    2.6 Multipoles    2.7 Electric currents    2.8 Depolarizing field    2.9 Mixtures of materials  3 Relativity    3.1 Special relativity      3.1.1 The Lorentz transformation      3.1.2 Red and blue shift      3.1.3 The stress-energy tensor and the field tensor    3.2 General relativity      3.2.1 Riemannian geometry, the Einstein tensor      3.2.2 The line element      3.2.3 Planetary orbits and the perihelion shift      3.2.4 The trajectory of a photon      3.2.5 Gravitational waves      3.2.6 Cosmology  4 Oscillations    4.1 Harmonic oscillations    4.2 Mechanic oscillations    4.3 Electric oscillations    4.4 Waves in long conductors    4.5 Coupled conductors and transformers    4.6 Pendulums  5 Waves    5.1 The wave equation    5.2 Solutions of the wave equation      5.2.1 Plane waves      5.2.2 Spherical waves      5.2.3 Cylindrical waves      5.2.4 The general solution in one dimension    5.3 The stationary phase method    5.4 Green functions for the initial-value problem    5.5 Waveguides and resonating cavities    5.6 Non-linear wave equations  6 Optics    6.1 The bending of light    6.2 Paraxial geometrical optics      6.2.1 Lenses      6.2.2 Mirrors      6.2.3 Principal planes      6.2.4 Magnification    6.3 Matrix methods    6.4 Aberrations    6.5 Reflection and transmission    6.6 Polarization    6.7 Prisms and dispersion    6.8 Diffraction    6.9 Special optical effects    6.10 The Fabry-Perot interferometer  7 Statistical physics    7.1 Degrees of freedom    7.2 The energy distribution function    7.3 Pressure on a wall    7.4 The equation of state    7.5 Collisions between molecules    7.6 Interaction between molecules  8 Thermodynamics    8.1 Mathematical introduction    8.2 Definitions    8.3 Thermal heat capacity    8.4 The laws of thermodynamics    8.5 State functions and Maxwell relations    8.6 Processes    8.7 Maximal work    8.8 Phase transitions    8.9 Thermodynamic potential    8.10 Ideal mixtures    8.11 Conditions for equilibrium    8.12 Statistical basis for thermodynamics    8.13 Application to other systems  9 Transport phenomena    9.1 Mathematical introduction    9.2 Conservation laws    9.3 Bernoulli's equations    9.4 Characterising of flows by dimensionless numbers    9.5 Tube flows    9.6 Potential theory    9.7 Boundary layers      9.7.1 Flow boundary layers      9.7.2 Temperature boundary layers    9.8 Heat conductance    9.9 Turbulence    9.10 Self organization  10 Quantum physics    10.1 Introduction to quantum physics      10.1.1 Black body radiation      10.1.2 The Compton effect      10.1.3 Electron diffraction    10.2 Wave functions    10.3 Operators in quantum physics    10.4 The uncertainty principle    10.5 The Schrodinger equation    10.6 Parity    10.7 The tunnel effect    10.8 The harmonic oscillator    10.9 Angular momentum    10.10 Spin    10.11 The Dirac formalism    10.12 Atomic physics      10.12.1 Solutions      10.12.2 Eigenvalue equations      10.12.3 Spin-orbit interaction      10.12.4 Selection rules    10.13 Interaction with electromagnetic fields    10.14 Perturbation theory      10.14.1 Time-independent perturbation theory      10.14.2 Time-dependent perturbation theory    10.15 N-particle systems      10.15.1 General      10.15.2 Molecules    10.16 Quantum statistics  11 Plasma physics    11.1 Introduction    11.2 Transport    11.3 Elastic collisions      11.3.1 General      11.3.2 The Coulomb interaction      11.3.3 The induced dipole interaction      11.3.4 The centre of mass system      11.3.5 Scattering of light    11.4 Thermodynamic equilibrium and reversibility    11.5 Inelastic collisions      11.5.1 Types of collisions      11.5.2 Cross sections    11.6 Radiation    11.7 The Вoltzmann transport equation    11.8 Collision-radiative models    11.9 Waves in plasma's  12 Solid state physics    12.1 Crystal structure    12.2 Crystal binding    12.3 Crystal vibrations      12.3.1 A lattice with one type of atoms      12.3.2 A lattice with two types of atoms      12.3.3 Phonons      12.3.4 Thermal heat capacity    12.4 Magnetic field in the solid state      12.4.1 Dielectrics      12.4.2 Paramagnetism      12.4.3 Ferromagnetism    12.5 Free electron Fermi gas      12.5.1 Thermal heat capacity      12.5.2 Electric conductance      12.5.3 The Hall-effect      12.5.4 Thermal heat conductivity    12.6 Energy bands    12.7 Semiconductors    12.8 Superconductivity      12.8.1 Description      12.8.2 The Josephson effect      12.8.3 Flux quantisation in a superconducting ring      12.8.4 Macroscopic quantum interference      12.8.5 The London equation      12.8.6 The BCS model  13 Theory of groups    13.1 Introduction      13.1.1 Definition of a group      13.1.2 The Cayley table      13.1.3 Conjugated elements, subgroups and classes      13.1.4 Isomorfism and homomorfism; representations      13.1.5 Reducible and irreducible representations    13.2 The fundamental orthogonality theorem      13.2.1 Schur's lemma      13.2.2 The fundamental orthogonality theorem      13.2.3 Character    13.3 The relation with quantum mechanics      13.3.1 Representations, energy levels and degeneracy      13.3.2 Breaking of degeneracy by a perturbation      13.3.3 The construction of a base function      13.3.4 The direct product of representations      13.3.5 Clebsch-Gordan coefficients      13.3.6 Symmetric transformations of operators, irreducible tensor operators      13.3.7 The Wigner-Eckart theorem    13.4 Continuous groups      13.4.1 The 3-dimensional translation group      13.4.2 The 3-dimensional rotation group      13.4.3 Properties of continuous groups    13.5 The group SO(3)    13.6 Applications to quantum mechanics      13.6.1 Vectormodel for the addition of angular momentum      13.6.2 Irreducible tensor operators, matrixelements and selection rules    13.7 Applications to particle physics  14 Nuclear physics    14.1 Nuclear forces    14.2 The shape of the nucleus    14.3 Radioactive decay    14.4 Scattering and nuclear reactions      14.4.1 Kinetic model      14.4.2 Quantum mechanical model for n-p scattering      14.4.3 Conservation of energy and momentum in nuclear reactions    14.5 Radiation dosimetry  15 Quantum field theory & Particle physics    15.1 Creation and annihilation operators    15.2 Classical and quantum fields    15.3 The interaction picture    15.4 Real scalar field in the interaction picture    15.5 Charged spin-0 particles, conservation of charge    15.6 Field functions for spin-(?) particles    15.7 Quantization of spin-(?) fields    15.8 Quantization of the electromagnetic field    15.9 Interacting fields and the S-matrix    15.10 Divergences and renormalization    15.11 Classification of elementary particles    15.12 P and CP-violation    15.13 The standard model      15.13.1 The electroweak theory      15.13.2 Spontaneous symmetry breaking: the Higgs mechanism      15.13.3 Quantumchromodynamics    15.14 Path integrals    15.15 Unification and quantum gravity  16 Astrophysics    16.1 Determination of distances    16.2 Brightness and magnitudes    16.3 Radiation and stellar atmospheres    16.4 Composition and evolution of stars    16.5 Energy production in stars  The (?)-operator  The SI units  Формат: djvu Размер: 532831 байт Язык: ENG Рейтинг: 169 Открыть: Нет поддержки JS :(