Fermionic Partial Tomography via Classical Shadows

From the watching of shadows: the origins of radiological tomography

Virginia Berridge notes that, "the history of institutions and organizations has, by and large, had a bad press." Consequently, revisionist social historians have either given up writing about institutions or turned to writing chronicles of "total institutions". Well aware of the hazards of the enterprise, Berridge has taken up the challenge of writing a balanced and judicious history of the So...

Partial Dynamical Symmetry in a Fermionic Many-body System

The fundamental concept underlying algebraic theories in quantum physics is that of an exact or dynamical symmetry. Realistic quantum systems, however, often require the associated symmetry to be broken in order to allow for a proper description of some observed basic features. Partial dynamical symmetry (PDS) describes an intermediate situation in which some eigenstates exhibit a symmetry whic...

Minimization of the Shadows in the Partial Mappings Semilattice

Let g,h be partial mappings of {1, 2, ..., n} into {0, 1, ..., k} and D(g),D(h) be their domains. We say that h is greater or equal to g iff D(h) ⊆ D(g) and g(x) = h(x) for all x ∈ D(h). The collection of all partial mappings with the order just defined forms the ranked poset, which we denote by F n k . We may assign to each mapping g a vector ã = (a1, ..., an) such that ai ∈ {−1, 0, ..., k} wh...

Minimization of the Shadows in the Partial MappingsSemilatticeSergei

Quantization via Classical Orbits

A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed-energy amplitude is given. The central scheme in computing corrections of all orders is related to a time ordering operation of an operator involving the Van Vleck determinant. This study provides us a new viewpoint for quantization. PACS 03.20.+i; 04.20.Fy; 02.40.+m Typeset using REVTEX ∗e-mail...