Dynamical Theories of Brownian Motion (eBook)

Edward Nelson (Autor)

eBook Download: PDF

2020
Princeton University Press (Verlag)
978-0-691-21961-5 (ISBN)

Infos

These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.

Produkt-Details

• Erscheint lt. Verlag: 6.10.2020
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Mathematical Notes
• Reihe/Serie: Monographs in Population Biology
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Schlagworte: acceleration • Albert Einstein • Algebraic integration theory • atomic theory • Avogadro constant • Avogadro's number • Boltzmann constant • Bounded Variation • Bounty • Brownian motion • Characteristic function (probability theory) • Charge Density • classical mechanics • coefficient • colloid • Colloidal particle • commutative property • complete description • Configuration space • Covariance matrix • Degrees of freedom (statistics) • Double-slit experiment • dynamical theory • Dynamics of stochastic motion • Eigenfunction • Eigenvalues and Eigenvectors • Einstein-Smoluchowski theory • Electromagnetic field • electron diffraction • Elementary charge • Encyclopaedia Britannica • Equation • Equipartition theorem • Equisetum • Fermion • fertilization process • Feynman integrals • Fokker–Planck equation • fourier analysis • Free particle • Functional Analysis • Gaussian measure • Gaussian process • hamiltonians • Heisenberg picture • hilbert space • hypothesis • Independence (probability theory) • inference • Infinitesimal • Infinitesimal generator (stochastic processes) • interaction • Invertible matrix • Joint probability distribution • Kinematics • kinetic theory of gases • Langevin Equation • Lebesgue measure • Linear map • Linear motion • Louis de Broglie • Markov Chain • Martingale (probability theory) • Mass diffusivity • mean backward velocity • Measurement • Measurement in quantum mechanics • Mechanics • Molecule • Newton's law of universal gravitation • Newton's laws of motion • non-equilibrium thermodynamics • notions • number density • Ornstein-Uhlenbeck theory • orthogonal • Oscillation • partial differential equation • Phase space • Photon • physicist • Position operator • power series • Prediction • Probability • Probability space • Probability Theory • quantum field theory • quantum mechanics • quantum state • quantum statistical mechanics • quantum superposition • Random Variable • Richard Feynman • "Robert Brown • Scalar potential • Schrödinger equation • Solipsism • Special case • Special relativity • Statistical Mechanics • step function • stochastic • stochastic differential equation • Stochastic process • Stochastic Theory • Theorem • Theorem" • theoretical physics • theory • Theory of relativity • Thermodynamic Temperature • triviality • Uncertainty Principle • Unitary Operator • Unitary Representation • Variable (mathematics) • Vibration • Von Neumann's theorem • wave function • Wave Packet • Wave–particle duality • Wiener integral • Wiener process
• ISBN-10: 0-691-21961-3 / 0691219613
• ISBN-13: 978-0-691-21961-5 / 9780691219615