Results 31 to 40 of about 349,926 (183)

Shape Transformation Approaches for Fluid Dynamic Optimization

Aerospace, 2023
The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller, Georgios Bletsos, Thomas Rung   +2 more
doaj   +1 more source

The role of the rigged Hilbert space in Quantum Mechanics

, 2005
There is compelling evidence that, when continuous spectrum is present, the natural mathematical setting for Quantum Mechanics is the rigged Hilbert space rather than just the Hilbert space.
Atkinson D, Ballentine L E, Beyer R T, Bogolubov N N, Bohm A, Bohm A, Bohm A, Capri A Z, Cohen-Tannoudji C, de la Madrid R, de la Madrid R, de la Madrid R, de la Madrid R, Dirac P A M, Dubin D A, Galindo A, Gelfand I M, Kukulin V I, Maurin K, Rafael de la Madrid, Reed M, Roberts J E, Schwartz L, Suchanecki Z, von Neumann J   +24 more
core   +2 more sources

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

, 2008
We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara, Druţu, Cornelia, Sapir, Mark   +2 more
core   +2 more sources

Path Integrals on Euclidean Space Forms [PDF]

, 2015
In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
core   +3 more sources

Division subspaces and integrable kernels

, 2018
In this note we prove that the reproducing kernel of a Hilbert space satisfying the division property has integrable form, is locally of trace class, and the Hilbert space itself is a Hilbert space of holomorphic functions.Comment: 11 ...
Bufetov, Alexander I., Romanov, Roman V.
core   +3 more sources

Hypercomplex quantum mechanics

, 1995
The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions).
A. A. Albert, A. Razon, A. Razon, B. Misra, C. Flesia, D. Finkelstein, E. Eisenberg, H. H. Goldstine, H. H. Goldstine, H. Taber, J. W. Gibbs, L. P. Horwitz, L. P. Horwitz, L. P. Horwitz, L. P. Horwitz, L. P. Horwitz, L. P. Howitz, M. B. Green, M. Günaydin, M. Jammer, P. Jordan, S. L. Adler, T. D. Lee, W. R. Hamilton   +23 more
core   +2 more sources

Convexity, boundedness, and almost periodicity for differential equations in Hillbert space

International Journal of Mathematics and Mathematical Sciences, 1979
There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space.
Jerome A. Goldstein
doaj   +1 more source

Deterministic Detection of Single Ion Implantation

Advanced Engineering Materials, EarlyView.
Focused ion beam implantation with high detection efficiencies will enable the rapid and scalable fabrication of advanced spin‐based technologies such as qubits. This work presents the detection efficiencies of a wide range of ions implanted into solid‐state hosts, with efficiencies of >90% recorded for ion species and substrate combinations of ...
Mason Adshead, Lok Kan Wan, Maddison Coke, Janet Jacobs, Nicholas F. L. Collins, Mark C. Rosamond, Richard J. Curry   +6 more
wiley   +1 more source

More on doubled Hilbert space in double-scaled SYK

Physics Letters B
We continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in Okuyama (2024) [7]. We show that the 1-particle Hilbert space introduced by Lin and Stanford (2023) [6] is related to the doubled Hilbert space H0⊗H0 of ...
Kazumi Okuyama
doaj   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source