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Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasipartic...

Abstract This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation, the text begins with a survey of cla...

This is a graduate text on turbulent flows, an important topic in fluid dynamics. It is up-to-date, comprehensive, designed for teaching, and is based on a course taught by the author at Cornell University for a number o...

Subjects / keywords: Mathematical physics; Study and teaching

Subjects / keywords: Mathematical physics; Electronic books

Subjects / keywords: mathematical physics, complex analysis, differential equations, spectral theory, geometry, functional analysis; Science: Mathematics

Subjects / keywords: Vector algebra; Mathematical physics; Field theory (Physics); Electronic books

Subjects / keywords: Sampling (Statistics); Mathematical statistics; Mathematical physics; Electronic books

Subjects / keywords: Error analysis (Mathematics); Mathematical physics; Physical measurements; Electronic books

Subjects / keywords: Gravitation; Mathematical physics; Physics; Electronic books

Subjects / keywords: Master equation; Stochastic differential equation; Statistical physics; Quantum stochastic calculus; Stochastic process; Fokker–Planck equation; Langevin equation; Mathematical physics; Markov process; Mathematics; Mar...

Recently, it has been proposed by Maldacena that large N limits of certain conformal field theories in d dimensions can be described in terms of supergravity (and string theory) on the product of d 4-1dimensional AdS spa...

We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compa...

Received 4 November 1964DOI:https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195Copyright © 1964 Physics Publishing Co.

This handbook is the fourth volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematic...

The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material th...

The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated...

Subjects / keywords: Electronic correlation; Perturbation theory (quantum mechanics); Correlation; Electron; Perturbation (astronomy); Physics; Order (exchange); Statistical physics; Mathematical physics; Theoretical physics; Mathematics; Qu...

The coupled-cluster singles and doubles model (CCSD) is derived algebraically, presenting the full set of equations for a general reference function explicitly in spin–orbital form. The computational implementation of ...

Subjects / keywords: Physics; Covariant transformation; Isotropy; Mathematical physics; Singularity; De Sitter universe; Type (biology); Invertible matrix; De Sitter space; Homogeneous; Initial singularity; Theoretical physics

We propose a simple analytic representation of the correlation energy ${\mathrm{\ensuremath{\varepsilon}}}_{\mathit{c}}$ for a uniform electron gas, as a function of density parameter ${\mathit{r}}_{\mathit{s}}$ and rela...

Nos\'e has modified Newtonian dynamics so as to reproduce both the canonical and the isothermal-isobaric probability densities in the phase space of an N-body system. He did this by scaling time (with s) and distance (wi...

The partition function of a two-dimensional "ferromagnetic" with scalar "spins" (Ising model) is computed rigorously for the case of vanishing field. The eigenwert problem involved in the corresponding computation for a ...

A generalization of the numerical renormalization-group procedure used first by Wilson for the Kondo problem is presented. It is shown that this formulation is optimal in a certain sense. As a demonstration of the effect...