A new form and a ⋆-algebraic structure of quantum stochastic integrals in Fock space

1988 ◽  
Vol 58 (1) ◽  
pp. 177-193 ◽  
Author(s):  
V. P. Belavkin
Keyword(s):  
Algebraic Structure ◽  
Fock Space ◽  
Stochastic Integrals ◽  
New Form

scholarly journals MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES

2001 ◽  
Vol 04 (01) ◽  
pp. 11-38 ◽  
Author(s):  
UWE FRANZ ◽  
RÉMI LÉANDRE ◽  
RENÉ SCHOTT
Keyword(s):  
Fock Space ◽  
Stochastic Integral ◽  
Real Hilbert Space ◽  
Sufficient Conditions ◽  
Stochastic Integrals ◽  
Bounded Operators ◽  
Divergence Operator ◽  
Derivation Operator ◽  
Quantum Stochastic Processes ◽  
Quantum Stochastic Integral

A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space [Formula: see text] and it is shown that they satisfy similar properties as the derivation and divergence operator on the Wiener space over [Formula: see text]. The derivation operator is then used to give sufficient conditions for the existence of smooth Wigner densities for pairs of operators satisfying the canonical commutation relations. For [Formula: see text], the divergence operator is shown to coincide with the Hudson–Parthasarathy quantum stochastic integral for adapted integrable processes and with the noncausal quantum stochastic integrals defined by Lindsay and Belavkin for integrable processes.

Algebraic Theory of Causal Double Products

2010 ◽  
Vol 60 (5) ◽  
Author(s):  
R. Hudson
Keyword(s):  
Power Series ◽  
Hopf Algebra ◽  
Tensor Product ◽  
Formal Power Series ◽  
Fock Space ◽  
Algebraic Theory ◽  
Stochastic Integrals ◽  
Double Product ◽  
Triangular Elements ◽  
Formal Power

AbstractCorresponding to each “rectangular” double product in the form of a formal power series R[h] with coefficients in the tensor product 풯(ℒ)⊙ 풯 (ℒ) with itself of the Itô Hopf algebra, we construct “triangular” elements T[h] of 풯(ℒ) satisfying ΔT[h] = T[h](1) R[h]T{h](2). In Fock space representations of 풯(ℒ) by iterated quantum stochastic integrals when ℒ is the algebra of Itô differentials of the calculus, these correspond to “causal” double product integrals in a single Fock space.

q-DEFORMED W-ALGEBRA FROM q-FERMION OSCILLATORS AND THE ALGEBRAIC STRUCTURE OF VERTEX OPERATORS IN 2D STRING THEORY

2002 ◽  
Vol 17 (07) ◽  
pp. 399-411 ◽  
Author(s):  
R. PARTHASARATHY
Keyword(s):  
String Theory ◽  
Algebraic Structure ◽  
Fock Space ◽  
Higher Order ◽  
Space Representation ◽  
Vertex Operators

q-deformed fermion oscillators are used to construct q-deformed higher order Virasaro algebra in the Fock space representation. These facilitate the realization of q-deformed W∞-algebra. The vertex operators (positively dressed) in 2D string theory are interpreted in terms of q-fermionic states.

Fine Structure of Platelet Interaction with a New Microcrystalline Collagen Preparation

1974 ◽  
Vol 32 ◽  
pp. 58-59
Author(s):  
W. H. Zucker ◽  
R. G. Mason
Keyword(s):  
Fine Structure ◽  
Platelet Aggregation ◽  
Hydrochloric Acid ◽  
Whole Blood ◽  
Platelet Adhesion ◽  
Hemostatic Agent ◽  
Native Collagen ◽  
Fibrillar Morphology ◽  
Clinical Interest ◽  
New Form

Platelet adhesion initiates platelet aggregation and is an important component of the hemostatic process. Since the development of a new form of collagen as a topical hemostatic agent is of both basic and clinical interest, an ultrastructural and hematologic study of the interaction of platelets with the microcrystalline collagen preparation was undertaken.In this study, whole blood anticoagulated with EDTA was used in order to inhibit aggregation and permit study of platelet adhesion to collagen as an isolated event. The microcrystalline collagen was prepared from bovine dermal corium; milling was with sharp blades. The preparation consists of partial hydrochloric acid amine collagen salts and retains much of the fibrillar morphology of native collagen.

The staining pattern of the tropomyosin sequence is displayed in a new paracrystal

1986 ◽  
Vol 44 ◽  
pp. 150-151
Author(s):  
M.K. Lamvik ◽  
L.L. Klatt
Keyword(s):  
Amino Acid ◽  
Amino Acid Sequence ◽  
Staining Pattern ◽  
Banding Patterns ◽  
Mass Thickness ◽  
New Form

Tropomyosin paracrystals have been used extensively as test specimens and magnification standards due to their clear periodic banding patterns. The paracrystal type discovered by Ohtsuki1 has been of particular interest as a test of unstained specimens because of alternating bands that differ by 50% in mass thickness. While producing specimens of this type, we came across a new paracrystal form. Since this new form displays aligned tropomyosin molecules without the overlaps that are characteristic of the Ohtsuki-type paracrystal, it presents a staining pattern that corresponds to the amino acid sequence of the molecule.

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