1,437,967 research outputs found

    Rumford Mechanics Institute, incorporated 1911, Rumford, Maine : building completed October, 1911 : building dedicated November 9, 1911

    Get PDF
    Sample text: The object for which the Rumford Mechanics Institute has been created is to furnish to the wage earners of Rumford the best quality of physical and mental, social and moral improvement, at the lowest cost, the cultivation of a more intimate acquaintanceship between the employed and the employer.https://digicom.bpl.lib.me.us/books_pubs/1134/thumbnail.jp

    The monetary mechanics of the crisis

    Get PDF
    In response to the financial and economic crisis, central banks, unlike in the 1930s, have created enormous amounts of money. There are fears that this will lead to inflation, but it is base money (the central bank's liabilities) that has expanded; total monetary aggregates have not. By contrast, in the 1930s, base money remained stable and monetary aggregates dropped. The reason for this is that in a crisis the relationship between the base money and monetary aggregates is altered. The money multiplier drops. It is therefore necessary to create more base money so that monetary aggregates remain stable. This is what central banks have done in the current crisis Â? and rightly so. They have learned the lessons of the Great Depression. This framework helps understand differences across countries. The crisis affected the euro area money and credit supply process much less than the US and the UK. Therefore, the European Central Bank was right to respond to the crisis with a less expansionary monetary policy than the Bank of England and the Federal Reserve. However, stabilising the money supply may not have been enough to stabilise the supply of credit.

    Putting mechanics into quantum mechanics

    Get PDF
    Nanoelectromechanical structures are starting to approach the ultimate quantum mechanical limits for detecting and exciting motion at the nanoscale. Nonclassical states of a mechanical resonator are also on the horizon

    Classical mechanics as nonlinear quantum mechanics

    Full text link
    All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation is real and positive, rather than complex. This has profound implications on the role of the Bohmian classical-like interpretation of linear quantum mechanics, as well as on the possibilities to find a consistent interpretation of arbitrary nonlinear generalizations of quantum mechanics.Comment: 7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16, 200

    Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter

    Full text link
    Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and discover that a eigenvalue of quantum mechanics is just an extreme value of an operator in possibility distribution, the eigenvalue f is just classical observable quantity. A general classical statistical uncertain relation is further given, the general classical statistical uncertain relation is generally generalized to quantum uncertainty principle, the two lost conditions in classical uncertain relation and quantum uncertainty principle, respectively, are found. We generally expound the relations among uncertainty principle, singularity and condensed matter stability, discover that quantum uncertainty principle prevents from the appearance of singularity of the electromagnetic potential between nucleus and electrons, and give the failure conditions of quantum uncertainty principle. Finally, we discover that the classical limit of quantum mechanics is classical statistical mechanics, the classical statistical mechanics may further be degenerated to classical mechanics, and we discover that only saying that the classical limit of quantum mechanics is classical mechanics is mistake. As application examples, we deduce both Shrodinger equation and state superposition principle, deduce that there exist decoherent factor from a general mathematical representation of state superposition principle, and the consistent difficulty between statistical interpretation of quantum mechanics and determinant property of classical mechanics is overcome.Comment: 10 page

    Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics

    Get PDF
    In the spirit of geometric quantisation we consider representations of the Heisenberg(--Weyl) group induced by hypercomplex characters of its centre. This allows to gather under the same framework, called p-mechanics, the three principal cases: quantum mechanics (elliptic character), hyperbolic mechanics and classical mechanics (parabolic character). In each case we recover the corresponding dynamic equation as well as rules for addition of probabilities. Notably, we are able to obtain whole classical mechanics without any kind of semiclassical limit h->0. Keywords: Heisenberg group, Kirillov's method of orbits, geometric quantisation, quantum mechanics, classical mechanics, Planck constant, dual numbers, double numbers, hypercomplex, jet spaces, hyperbolic mechanics, interference, Segal--Bargmann representation, Schroedinger representation, dynamics equation, harmonic and unharmonic oscillator, contextual probabilityComment: AMSLaTeX, 17 pages, 4 EPS pictures in two figures; v2, v3, v4, v5, v6: numerous small improvement
    corecore