Results 61 to 70 of about 5,233,673 (285)
Extremal Problems in the Fock Space [PDF]
Computational Methods and Function Theory, 2010 This well-written paper investigates some extremal problems in the Fock space. The Fock space, \(F^2\), consists of those entire functions \(f\) for which \(\|f\|_{2}^2=\int_{\mathbb C}|f(z)|^2 e^{-|z|^2}\,dA(z)
Bénéteau, Catherine +2 more
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Extremal functions and best approximate formulas for the Hankel-type Fock space
CuboIn this paper we recall some properties for the Hankel-type Fock space \(\mathscr{F}_{\alpha,\ast}(\mathbb{C}^d)\). This space was introduced by Cholewinsky in 1984 and plays a background to our contribution. Especially, we examine the extremal functions
Fethi Soltani
doaj +1 more source
Hankel Operators on Fock Spaces [PDF]
, 2013 We study Hankel operators on the weighted Fock spaces\ud Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively. Along the way, we also study Berezin transform and harmonic conjugates on the plane.
Perala, A. +2 more
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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations [PDF]
, 2002 We develop systematically a new unifying approach to the analysis of linear stochastic, quantum stochastic and even deterministic equations in Banach spaces.
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +3 more
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Universal Verma Modules and the Misra-Miwa Fock Space
International Journal of Mathematics and Mathematical Sciences, 2010 The Misra-Miwa v-deformed Fock space is a representation of the quantized affine algebra Uv(sl^ℓ). It has a standard basis indexed by partitions, and the nonzero matrix entries of the action of the Chevalley generators with respect to this basis are ...
Arun Ram, Peter Tingley
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The Hilbert space of large N Chern-Simons matter theories
Journal of High Energy Physics, 2022 We demonstrate that the known expressions for the thermal partition function of large N Chern-Simons matter theories admit a simple Hilbert space interpretation as the partition function of an associated ungauged large N matter theory with one additional
Shiraz Minwalla +3 more
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Stochastic integration in Fock space [PDF]
Pacific Journal of Mathematics, 1986 This paper uses elementary Hilbert-space techniques to construct an analogue of the Itô integral, the 'integral' taking values in the symmetric Fock space of a direct integral \(\bar {\mathcal H}\) of Hilbert spaces over the real line. (The case \(\bar {\mathcal H}=L^ 2[0,\infty)\) yields the classical Itô integral.) An explicit formula is obtained for
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Efficient Heat-Bath Sampling in Fock Space. [PDF]
Journal of Chemical Theory and Computation, 2015 We introduce an algorithm for sampling many-body quantum states in Fock space. The algorithm efficiently samples states with probability approximately proportional to an arbitrary function of the second-quantized Hamiltonian matrix element connecting the
Adam A. Holmes +2 more
semanticscholar +1 more source
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source
Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2005 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J. +3 more
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