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Quantum Inequalities in Quantum Mechanics [PDF]

open access: yesAnnales 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.
S. P. Eveson   +2 more
openaire   +3 more sources

Renormalons in quantum mechanics [PDF]

open access: yesJournal of High Energy Physics, 2019
Abstract We present a nonrelativistic one-particle quantum mechanics whose perturbative S-matrix exhibits a renormalon divergence that we explicitely compute. The potential of our model is the sum of the 2d Dirac δ-potential — known to require renormalization — and a 1d Dirac δ-potential tilted at an angle.
Dieter Van den Bleeken   +2 more
openaire   +6 more sources

Quantumness beyond quantum mechanics [PDF]

open access: yesJournal of Physics: Conference Series, 2012
Bohmian mechanics allows us to understand quantum systems in the light of other quantum traits than the well-known ones (coherence, diffraction, interference, tunneling, discreteness, entanglement, etc.). Here the discussion focusses precisely on two of these interesting aspects, which arise when quantum mechanics is though within this theoretical ...
openaire   +5 more sources

Membrane quantum mechanics

open access: yesNuclear Physics B, 2015
54 pages, v2: errors corrected and notations ...
Tadashi Okazaki, Tadashi Okazaki
openaire   +5 more sources

On Supersymmetric Quantum Mechanics [PDF]

open access: yes, 2004
Review paper (31 pages) to be published in: Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per-Olov Lowdin, Volume 3, E. Brandas and E.S.
Kibler, Maurice, R., Daoud, Mohammed
openaire   +4 more sources

Introduction to Quantum Mechanics [PDF]

open access: yesAIP Conference Proceedings, 2008
The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special attention to algebraic issues. The usual representation of Quantum Mechanics on Hilbert spaces is also discussed.
Eduardo J. S. Villaseñor   +2 more
openaire   +5 more sources

The quantum double as quantum mechanics [PDF]

open access: yesJournal 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.
openaire   +3 more sources

Quantum geodesics in quantum mechanics [PDF]

open access: yesJournal of Mathematical Physics
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differential calculus Ω1 depending on the Hamiltonian p2/2m + V(x), and a flat quantum connection ∇ with torsion such that a previous quantum-geometric formulation of flow along autoparallel curves (or “geodesics”) is exactly Schrödinger’s equation. The connection
Edwin Beggs, Shahn Majid
openaire   +3 more sources

Decoherence in quantum mechanics [PDF]

open access: yesAnnals of Physics, 2011
We study decoherence in a simple quantum mechanical model using two approaches. Firstly, we follow the conventional approach to decoherence where one is interested in solving the reduced density matrix from the perturbative master equation. Secondly, we consider our novel correlator approach to decoherence where entropy is generated by neglecting ...
Koksma, J.F.   +2 more
openaire   +4 more sources

Geometrization of quantum mechanics [PDF]

open access: yesTheoretical and Mathematical Physics, 2007
16 pages. To appear in Theor. Math. Phys. Some typos corrected.
CARINENA JF   +2 more
openaire   +5 more sources

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