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