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We investigate the product form uncertainty relations of variances for n (n ≥ 3) quantum observables. In particular, tight uncertainty relations satisfied by three observables has been derived, which is shown to be better than the ones derived from the strengthened Heisenberg and the generalized Schrödinger uncertainty relations, and some existing(More)
We show how to find the physical Langevin equation describing the trajectories of particles undergoing collisionless stochastic acceleration. These stochastic differential equations retain not only one-, but two-particle statistics, and inherit the Hamiltonian nature of the underlying microscopic equations. This opens the door to using stochastic(More)
First observation of J/ψ and ψ(2S) decaying to nK 0 S ¯ Λ + c.c. The decays of J/ψ and ψ(2S) to nK 0 S ¯ Λ + c.c. are observed and measured for the first time, and the perturbative QCD " 12% " rule is tested, based on 5.8 × 10 7 J/ψ and 1.4 × 10 7 ψ(2S) events collected with BESII detector at the Beijing Electron-Positron Collider. No obvious enhancement(More)
We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST is able to reduce three-dimensional scalar and vector expressions of a very general type to a well defined standard form. In addition, utilizing properties of the Levi-Civita symbol,(More)
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