Results 91 to 100 of about 508,252 (212)
On chord dynamics and complexity growth in double-scaled SYK
Journal of High Energy PhysicsWe study the time evolution governed by the two-sided chord Hamiltonian in the double-scaled SYK model, which induces a probability distribution over operators in the double-scaled algebra.
Jiuci Xu
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On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
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Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms [PDF]
Mathematics of Computation, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
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A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 6, June 2026.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Symbolic-Manipulation Constructions of Hilbert-Space Metrics in Quantum Mechanics [PDF]
, 2011 The problem of the determination of the Hilbert-space metric which renders a given Hamiltonian $H$ self-adjoint is addressed from the point of view of applicability of computer-assisted algebraic manipulations. An exactly solvable example of the so called Gegenbauerian quantum-lattice oscillator is recalled for the purpose.
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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Adjoints of composition operators on Hilbert spaces of analytic functions
, 2006 We observe that a formula for the adjoint of a composition operator, known only for special symbols in some spaces of analytic functions, actually holds for every admissible symbol and in any Hilbert space of analytic functions with reproducing kernels ...
Vukotić, Dragan +3 more
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Sharp norm estimates for composition operators and Hilbert-type inequalities [PDF]
, 2017 Let H 2 denote the Hardy space of Dirichlet series f ( s ) = ∑ n ⩾ 1 a n n − s with square summable coefficients and suppose that φ is a symbol generating a composition operator on H 2 by C φ ( f ) = f ∘ φ . Let ζ denote the Riemann zeta function and α 0
Brevig, Ole Fredrik, Ole Fredrik Brevig
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