搜索结果: 1-9 共查到“理论物理学 V -polynomial”相关记录9条 . 查询时间(0.109 秒)
Alexander Polynomial Invariants of Torus Knots T(n,3) and Chebyshev Polynomials
Alexander Polynomial Invariants Chebyshev Polynomials Mathematical Physics
2011/9/22
Abstract: The explicit formula, which expresses the Alexander polynomials \Delta_{n,3}(t) of torus knots T(n,3) as a sum of the Alexander polynomials \Delta_{k,2}(t) of torus knots T(k,2), is found. U...
Exact polynomial solutions of second order differential equations and their applications
Polynomial solutions Bethe ansatz Quasi-exactly solvable systems
2011/9/21
Abstract: We find all polynomials $Z(z)$ such that the differential equation $${X(z)\frac{d^2}{dz^2}+Y(z)\frac{d}{dz}+Z(z)}S(z)=0,$$ where $X(z), Y(z), Z(z)$ are polynomials of degree at most 4, 3, 2 ...
The Heine-Stieltjes correspondence and the polynomial approach to the standard pairing problem
The Heine-Stieltjes correspondence the polynomial the standard pairing problem Nuclear Theory
2011/7/28
Abstract: A new approach for solving the Bethe ansatz (Gaudin-Richardson) equations of the standard pairing problem is established based on the Heine-Stieltjes correspondence. For $k$ pairs of valence...
Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial
Heun's equation generalized hypergeometric function exceptional Jacobi polynomial
2011/7/27
Abstract: We study Heun's differential equation in the case that one of the singularities is apparent. In particular we conjecture a relationship with generalized hypergeometric differential equation ...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation Bicon-fluent Heun equation General Heun equation Davidson potential Exactly solvable differential equations
2010/10/21
to have polynomial solutions are given. Several application of these results to Schr¨odinger’s equation are discussed. Conditions under which the confluent, biconfluent, and the general Heun equation ...
Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
Polynomial algebras exact solutions quantum non-linear optical
2010/4/2
We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
A Unified Model of All Generalizations from the Jones Polynomial
Jones polynomial skein relation tangle algebra recursion formula
2007/8/15
2001Vol.35No.4pp.431-434DOI:
A Unified Model of All Generalizations from the Jones Polynomial
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Department of Physics, Peking University, B...
Analytic Expression of Arbitrary Matrix Elements for Boson
Exponential Quadratic Polynomial Operators
Boson exponential quadratic polynomial operator matrix element
P representation partition function of Boson quadratic polynomial system
2007/8/15
2007Vol.47No.1pp.41-44DOI:
Analytic Expression of Arbitrary Matrix Elements for Boson
Exponential Quadratic Polynomial Operators
XU Xiu-Wei, REN Ting-Qi, LIU Shu-Yan, MA Qiu-Ming,...
A Polynomial Expansion Method and
New General Solitary Wave Solutions to KS Equation
KS equation solitary wave solution
polynomial expansion method
2007/8/15
2003Vol.39No.6pp.641-642DOI:
A Polynomial Expansion Method and
New General Solitary Wave Solutions to KS Equation
PENG Yan-Ze
Laboratory of Pure and Applied Mathematics,...