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Quantum Inequalities in Quantum Mechanics [PDF]
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
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Renormalons in quantum mechanics [PDF]
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
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Quantumness beyond quantum mechanics [PDF]
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 ...
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54 pages, v2: errors corrected and notations ...
Tadashi Okazaki, Tadashi Okazaki
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On Supersymmetric Quantum Mechanics [PDF]
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
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Introduction to Quantum Mechanics [PDF]
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
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The quantum double as quantum mechanics [PDF]
36 pages. Revised to include full details for the simplest example based on sl_2. Accepted to appear in J.
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Quantum geodesics in quantum mechanics [PDF]
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
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Decoherence in quantum mechanics [PDF]
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
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Geometrization of quantum mechanics [PDF]
16 pages. To appear in Theor. Math. Phys. Some typos corrected.
CARINENA JF+2 more
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