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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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Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
TL;DR: A comprehensive review of non-Abelian bosonization and recent work on the development of renormalization groups that alleviate the effects of truncating the spectrum for the numerical study of systems in one and two dimensions are reviewed.
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Models and methodologies in current theoretical high-energy physics
TL;DR: A case study of the development of quantum field theory and of S-matrix theory, from their inceptions to the present, is presented and Lakatos' scheme provides a reasonable overall description and a plausible assessment of the relative value of these two programs in terms of progressive and degenerating problem shifts.
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Dirac and the dispensability of mathematics
TL;DR: Colyvan as mentioned in this paper examined the role of the delta function in Dirac's formulation of quantum mechanics and discussed the importance of mathematics in theory construction, and argued that even if mathematical theories turned out to be indispensable, this wouldn't justify the commitment to the existence of mathematical entities.
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Generalisations of the Laplace-Runge-Lenz vector
P. G. L. Leach,G. P. Flessas +1 more
TL;DR: In this article, it is shown that there are many classes of problems, some closely related to the Kepler Problem and others somewhat remote, which share the possession of a conserved vector which plays a significant role in the analysis of these problems.
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Pansions and the theory of Fourier transforms
TL;DR: In this article, it was shown that if g = Tf then f = Tg then f= Tg. Unfortunately this basic result is true only under rather severe restrictions, for example if both f and Tf are in L1 [3, p. 51 ].