Weyl conjecture and thermal radiation of finite systems
نویسندگان
چکیده
Abstract In this work, corrections for the Weyl law and conjecture in d dimensions are obtained effects related to polarization area term analyzed. The derived formalism is applied on quasithermodynamics of electromagnetic field a finite -dimensional box within semi-classical treatment. context, Stefan–Boltzmann obtained. Special attention given two-dimensional scenario, since it can be used characterization experimental setups. Another application concerns acoustic perturbations quasithermodynamic generalization Debye model solid dimensions. Extensions known results usual formulas, such as frequency Dulong–Petit law, calculated.
منابع مشابه
The Weyl Curvature Conjecture
In this paper we review Penrose’s Weyl curvature conjecture which states that the concept of gravitational entropy and the Weyl tensor is somehow linked, at least in a cosmological setting. We give a description of a certain entity constructed from the Weyl tensor, from the very early history of our universe until the present day. Inflation is an important mechanism in our early universe for ho...
متن کاملOn Weyl–titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
We develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated Green’s matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.
متن کاملinvestigation of single-user and multi-user detection methods in mc-cdma systems and comparison of their performances
در این پایان نامه به بررسی روش های آشکارسازی در سیستم های mc-cdma می پردازیم. با توجه به ماهیت آشکارسازی در این سیستم ها، تکنیک های آشکارسازی را می توان به دو دسته ی اصلی تقسیم نمود: آشکارسازی سیگنال ارسالی یک کاربر مطلوب بدون در نظر گرفتن اطلاعاتی در مورد سایر کاربران تداخل کننده که از آن ها به عنوان آشکارساز های تک کاربره یاد می شود و همچنین آشکارسازی سیگنال ارسالی همه ی کاربران فعال موجود در...
Finite Spaces and Quillen’s Conjecture
We introduce finite spaces and explain their relations to sets with reflexive and transitive relations and to simplicial complexes. We introduce Quillen’s conjecture: If Ap(G) is weakly contractible then G has a nontrivial normal p-subgroup. We use Quillen’s method to show this is true for solvable groups.
متن کاملComplexities of finite families of polynomials, Weyl systems, and constructions in combinatorial number theory
We introduce two notions of complexity of a system of polynomials p1, . . . , pr ∈ Z[n] and apply them to characterize the limits of the expressions of the form μ(A0∩T1A1∩ . . .∩TrAr) where T is a skew-product transformation of a torus Td and Ai ⊆ Td are measurable sets. The dynamical results obtained allow us to construct subsets of integers with specific combinatorial properties related to th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2023
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/acb09b