نتایج جستجو برای: theta operator

تعداد نتایج: 107726  

Journal: :European Physical Journal Plus 2021

A non-relativistic scalar particle moving on a curved surface undergoes geometric scattering whose behavior is sensitive to the theoretically ambiguous values of intrinsic and extrinsic curvature coefficients entering expression for quantum Hamiltonian operator. This suggests using data settle ambiguity in definition Hamiltonian. It has recently been shown that inclusion point defects enhances ...

Journal: :Journal of Pseudo-differential Operators and Applications 2022

The goal of this paper is to establish a global well-posedness for broad class strictly hyperbolic Cauchy problems with coefficients in $$C^2((0,T];C^\infty ({{\mathbb {R}}}^n))$$ growing polynomially x and singular t. we study are type respect generic weight metric on the phase space. behavior captured by blow-up first second t-derivatives which allows be either logarithmic-type or oscillatory...

Journal: :Turkish journal of mathematics & computer science 2022

The singularity structure of a second-order ordinary differential equation with polynomial coefficients often yields the type solution. It is shown that $\theta$-operator method can be used as symbolic computational approach to obtain indicial and recurrence relation. Consequently, leads transformations yield solution in terms special function, if suitable. Hypergeometric Heun-type equations ar...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه ولی عصر (عج) - رفسنجان - دانشکده ریاضی 1392

let h be a separable hilbert space and let b be the set of bessel sequences in h. by using several interesting results in operator theory we study some topological properties of frames and riesz bases by constructing a banach space structure on b. the convergence of a sequence of elements in b is de_ned and we determine whether important properties of the sequence is preserved under the con...

2012
Jasper V. STOKMAN

Nonpolynomial basic hypergeometric eigenfunctions of the Askey–Wilson second order difference operator are known to be expressible as very-well-poised 8φ7 series. In this paper we use this fact to derive various basic hypergeometric and theta function identities. We relate most of them to identities from the existing literature on basic hypergeometric series. This leads for example to a new der...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2003
Everaldo Arashiro J R Drugowich de Felício

We study the early time behavior of the Baxter-Wu model, an Ising model with three-spin interactions on a triangular lattice. Our estimates for the dynamic exponent z are compatible with results recently obtained for two models which belong to the same universality class of the Baxter-Wu model: the two-dimensional four-state Potts model and the Ising model with three-spin interactions in one di...

2005
Hitoshi Konno

A new formula connecting the elliptic 6j-symbols and the fusion of the vertex-face intertwining vectors is given. This is based on the identification of the k fusion intertwining vectors with the change of base matrix elements from Sklyanin's standard base to Rosengren's natural base in the space of even theta functions of order 2k. The new formula allows us to derive various properties of the ...

2017
Jasper V. STOKMAN

Nonpolynomial basic hypergeometric eigenfunctions of the Askey–Wilson second order difference operator are known to be expressible as very-well-poised 8φ7 series. In this paper we use this fact to derive various basic hypergeometric and theta function identities. We relate most of them to identities from the existing literature on basic hypergeometric series. This leads for example to a new der...

2001
Dmitry Korotkin

In these notes we solve a class of Riemann-Hilbert (inverse monodromy) problems with an arbitrary quasi-permutation monodromy group. The solution is given in terms of Szegö kernel on the underlying Riemann surface. In particular, our construction provides a new class of solutions of the Schlesinger system. We present some results on explicit calculation of the corresponding tau-function, and de...

1994
Bo-Yu Hou

From the cyclic quantum dilogarithm the shift operator is constructed with q is a root of unit and the representation is given for the current algebra introduced by Faddeev et al. It is shown that the theta-function is factorizable also in this case by using the star-square equation of the Baxter-Bazhanov model. PACS. 11.10 Field theory. PACS. 02.10 Algebraic methods. PACS. 05.50 Lattice theory...

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