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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.

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Dirac's aether in relativistic quantum mechanics

TL;DR: In this article, a new aether model based on a stochastic covariant distribution of subquantum motions (corresponding to a “vacuum state” alive with fluctuations and randomness) is discussed with respect to the present experimental and theoretical discussion of nonlocality in EPR situations.
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Probing the shape of atoms in real space

TL;DR: In this article, the structure of single atoms in real space is investigated by scanning tunneling microscopy, where the instabilities which are normally encountered while using small tip-sample distances are avoided by oscillating the tip of the scanning microscope vertically with respect to the sample.
Journal ArticleDOI

Mathematical surprises and Dirac's formalism in quantum mechanics

TL;DR: In this article, the equivalence between wave mechanics and the other formulations of quantum mechanics, i.e. matrix mechanics and Dirac's abstract Hilbert space formulation, is discussed and the problems and shortcomings of this formalism as well as those of the bra and ket notation introduced by Dirac in this context.
MonographDOI

Symplectic Topology and Floer Homology

TL;DR: In this article, the authors provide a thorough and systematic explanation of symplectic topology and the analytical details and techniques used in applying the machinery arising from Hamiltonian Floer theory as a whole.
Journal ArticleDOI

Obstruction Results in Quantization Theory

TL;DR: In this article, the authors conjecture a generalized Groenewold-Van Hove theorem and determine the maximal subalgebras of observables which can be consistently quantized.