Results 1 - 10 of 1917
Results 1 - 10 of 1917. Search took: 0.021 seconds
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[en] Utilizing the known off-shell formulation of 2D, N = (2, 2) supergravity containing a finite number of auxiliary fields, there is shown to exist a simple form for a 'chiral projection operator' and an explicit expression for it is given. (fast track communication)
[en] We develop a formal theory of the weak values with emphasis on the consistency conditions and a probabilistic interpretation in the counter-factual processes. We present the condition for the choice of the post-selected state to give a negative weak value of a given projection operator and strange values of an observable in general. The general framework is applied to Hardy's paradox and the spin-1/2 system to explicitly address the issues of counter-factuality and strange weak values. The counter-factual arguments which characterize the paradox specify the pre-selected state, and a complete set of the post-selected states clarifies how the strange weak values emerge.
[en] It is proved that every skew-Hermitian element of any properly infinite von Neumann algebra can be represented in the form of a finite sum of commutators of projections in this algebra. A new commutation condition for projections in terms of their upper (lower) bound in the lattice of all projections of the algebra is obtained. For the full matrix algebra the set of operators with canonical trace zero is described in terms of finite sums of commutators of projections and the domain in which the trace is positive is described in terms of finite sums of pairwise products of projections. Applications to AF-algebras are obtained. Bibliography: 33 titles
[en] The verification of the on-shell kappa-symmetry for supermembranes is usually done by means of a projector operator. In the off-shell case (Polyakov-like action) this verification ismore subtle and that one found in literature does not make use of such operators. In this work we show that the off-shell kappa-symmetry can also be achieved by means of a projector operator. (author)
[en] The problem of flow through a nanotube is considered. Classical fluid mechanics does not give an adequate description of the process. Modified hydrodynamic equations are derived from a microscopic model using the dynamical Bogolyubov approach and the Zwanzig projection operator method.
[en] The thesis of Brandbyge's comment [J. Chem. Phys. 140, 177103 (2014)] is that our operator decoupling condition is immaterial to transport theories, and it appeals to discussions of nonorthogonal basis sets in transport calculations in its arguments. We maintain that the operator condition is to be preferred over the usual matrix conditions and subsequently detail problems in the existing approaches. From this operator perspective, we conclude that nonorthogonal projectors cannot be used and that the projectors must be selected to satisfy the operator decoupling condition. Because these conclusions pertain to operators, the choice of basis set is not germane
[en] In this paper, we consider and study a factorization of the Dunkl-Laplacian in terms of spherical coordinates. This allows for the construction of a direct sum decomposition of spherical Dunkl-harmonics. By explicit representation in spherical coordinates of Dunkl-harmonics, one obtains explicit projection operators from Dunkl-harmonics to inner (resp. outer) Dunkl-monogenics. Concrete examples of spherical Dunkl-monogenics will be given at the end.