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The Principles of Quantum Mechanics
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The article was published on 1930-01-01 and is currently open access. It has received 5991 citations till now. The article focuses on the topics: Quantum statistical mechanics & Open quantum system.read more
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Psychologically simple motions as geodesic paths. part I. Asymmetric objects
E. H. Carlton,Roger N. Shepard +1 more
TL;DR: In this paper, the authors formalize and preliminary evaluations of two primary candidates for principles that may have been internalized: (a) laws of physics, especially the principle of least action, according to which, in the absence of external forces, the center of a rigid body traverses a straight line between any two positions while any rotation is about its rectilinearly translating center.
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Proper dirac quantization of a free particle on a d-dimensional sphere
TL;DR: In this paper, it was shown that an unambiguous and correct quantization of the second-class constrained system of a free particle on a sphere in D dimensions is possible only by converting the constraints to Abelian gauge constraints, which are of first class in Dirac's classification scheme.
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On Generalized Uncertainty Principle
TL;DR: In this paper, the authors studied the generalized uncertainty principle of string theory through the basic concepts of limit and Fourier transformation and analyzed both the quantum theory of gravity and string theory from the perspective of complex function theory.
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Relativistic angular momentum for asymptotically flat Einstein-Maxwell manifolds
TL;DR: In this article, the authors derived spin currents, which are linear combinations of the Ricci rotation coefficients, together with a Gauss theorem for the integrated charges, by treating general relativity as a Yang-Mills theory based on Lorentz invariance.
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Some Statistical Applications of Poisson's Work
TL;DR: In this article, a review of the applications and repercussions of Poisson's work are reviewed in historical perspective with special reference to the distinction he made between two kinds of probability, the law of large numbers, the Poisson distribution, the difference between two proportions, and legalistic statistics.