Results 11 to 20 of about 434,762 (285)
Journal of High Energy PhysicsWe provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmonic oscillator ...
Christoph Chiaffrino +2 more
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Quantum Inequalities in Quantum Mechanics [PDF]
Annales Henri Poincaré, 2005 We study a phenomenon occuring in various areas of quantum physics, in which an observable density (such as an energy density) which is classically pointwise nonnegative may assume arbitrarily negative expectation values after quantisation, even though the spatially integrated density remains nonnegative.
Eveson, Simon P. +2 more
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Renormalization in quantum mechanics [PDF]
Physical Review D, 1993 We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a $\b$ function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon.
Gupta, K. S., Rajeev, S. G.
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NONCOMMUTATIVE QUANTUM MECHANICS AND QUANTUM COSMOLOGY [PDF]
International Journal of Modern Physics A, 2009 We present a phase-space noncommutative version of quantum mechanics and apply this extension to Quantum Cosmology. We motivate this type of noncommutative algebra through the gravitational quantum well (GQW) where the noncommutativity between momenta is shown to be relevant. We also discuss some qualitative features of the GQW such as the Berry phase.
Bastos, Catarina +3 more
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Probability in Orthodox Quantum Mechanics: Probability as a Postulate Versus Probability as an Emergent Phenomenon [PDF]
, 2000 The role of probability in quantum mechanics is reviewed, with a discussion of the ``orthodox'' versus the statistical interpretive frameworks, and of a number of related issues. After a brief summary of sources of unease with quantum mechanics, a survey
A. J. Leggett +14 more
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Quantum Information Dimension and Geometric Entropy
PRX Quantum, 2022 Geometric quantum mechanics, through its differential-geometric underpinning, provides additional tools of analysis and interpretation that bring quantum mechanics closer to classical mechanics: state spaces in both are continuous and equipped with ...
Fabio Anza, James P. Crutchfield
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Nambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum Mechanics [PDF]
, 2002 We propose a generalization of the standard geometric formulation of quantum mechanics, based on the classical Nambu dynamics of free Euler tops. This extended quantum mechanics has in lieu of the standard exponential time evolution, a nonlinear temporal
Abramovitz +66 more
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The quantum double as quantum mechanics [PDF]
Journal of Geometry and Physics, 1994 36 pages. Revised to include full details for the simplest example based on sl_2. Accepted to appear in J.
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Risenologi, 2020 The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Realism about the Wave Function [PDF]
, 2018 A century after the discovery of quantum mechanics, the meaning of quantum mechanics still remains elusive. This is largely due to the puzzling nature of the wave function, the central object in quantum mechanics.
Albert D. Z. +39 more
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