Quantum Fluctuations (eBook)

Edward Nelson (Autor)

eBook Download: PDF

2020
Princeton University Press (Verlag)
978-0-691-21802-1 (ISBN)

Infos

Stochastic mechanics is a description of quantum phenomena in classical probabilistic terms. This work contains a detailed account of the kinematics of diffusion processes, including diffusions on curved manifolds which are necessary for the treatment of spin in stochastic mechanics. The dynamical equations of the theory are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms. In addition to developing the formal mathematical aspects of the theory, the book contains discussion of possible physical causes of quantum fluctuations in terms of an interaction with a background field. The author gives a critical analysis of stochastic mechanics as a candidate for a realistic theory of physical processes, discussing measurement, local causality in the sense of Bell, and the failure of the theory in its present form to satisfy locality.

Produkt-Details

• Erscheint lt. Verlag: 1.9.2020
• Reihe/Serie: Princeton Series in Physics
• Reihe/Serie: Princeton Series in Physics
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: acceleration • Affine connection • angular velocity • Approximation • autocorrelation • background field hypothesis • Bell's theorem • Big O notation • Bopp-Haag equation • Bose–Einstein statistics • Boundary value problem • Compton wavelength • conditional expectation • conditioned process • Configuration space • conservation law • coordinate system • Dankel equation • Degrees of freedom (statistics) • differentiable manifold • Diffusion Equation • diffusion process • Dimension • Dirac measure • dissipative dynamics • Electromagnetic field • electromagnetism • Equation • Equations of motion • Fermi–Dirac statistics • Feynman-Kac formula • Fourier transform • Gauge Theory • Gaussian process • Gaussian slit • Guerra • Harmonic oscillator • hidden variables • Hidden variable theory • Hyperbola • Imaginary Time • Infinitesimal generator (stochastic processes) • Initial Condition • Investment Strategy • Kappler • Kinematics • kinetic energy • Kochen • Lagrangian • Lagrangian (field theory) • Lagrangian mechanics • Lebesgue measure • light cone • linear differential equation • Linear map • Local coordinates • locality theorem • Loffredo • Markov Chain • Markov process • markov random field • Martingale (probability theory) • Measurement • Modern Physics • Moment of Inertia • Momentum • Morato • neighboring point • Newtonian dynamics • Nodes • non-standard analysis • Observable • Orientability • Ornstein-Uhlenbeck theory • Orthonormal basis • osmotic equation • partial differential equation • path space • Pauli equation • Permutation • Phase space • Photon • Point particle • Poisson Point Process • Prediction • Probability • Probability Distribution • probability measure • Probability space • Probability Theory • Proportionality (mathematics) • Quantum fluctuation • quantum mechanics • quantum state • Random Variable • relaxation time • Requirement • Riemannian manifold • Scalar (physics) • Scalar potential • scattering theory • Schrödinger equation • Self-adjoint operator • Simply connected space • Singlet state • Smoothness • Stern–Gerlach experiment • stochastic • Stochastic Calculus • Stochastic process • symmetric function • Tangent Space • Tensor • Theorem • theory • thermal equilibrium • Thermal fluctuations • Uncertainty Principle • Variational method (quantum mechanics) • Variational Principle • Velocity • wave function • weighting • Wiener process • Yasue
• ISBN-10: 0-691-21802-1 / 0691218021
• ISBN-13: 978-0-691-21802-1 / 9780691218021