scholarly journals On Papkovich-Neuber type representations for solutions of the Navier-Lamé equation in spatial star-shaped domains

2019 ◽  
Vol 7 ◽  
pp. 3-8
Author(s):  
Sándor Zsuppán
Keyword(s):  
Lamé Equation

scholarly journals Examples for an extended Barabási-Albert model with random initial degrees

2020 ◽  
Vol 8 ◽  
pp. 3-13
Author(s):  
Sándor Zsuppán
Keyword(s):  
Representation Formula ◽  
Type Representation ◽  
Lamé Equation ◽  
Linear Elastostatics

We develop a Papkovich-Neuber type representation formula for the solutions of the Navier-Lamé equation of linear elastostatics for spatial star-shaped domains. This representation is compared to the existing ones.

scholarly journals Eight-vertex model and non-stationary Lamé equation

2005 ◽  
Vol 38 (8) ◽  
pp. L145-L153 ◽  
Author(s):  
Vladimir V Bazhanov ◽  
Vladimir V Mangazeev
Keyword(s):  
Vertex Model ◽  
Lamé Equation

scholarly journals The geometry of generalized Lamé equation, I

2019 ◽  
Vol 127 ◽  
pp. 89-120 ◽  
Author(s):  
Zhijie Chen ◽  
Ting-Jung Kuo ◽  
Chang-Shou Lin
Keyword(s):  
Lamé Equation

scholarly journals A new effective mass Hamiltonian and associated Lamé equation: bound states

2006 ◽  
Vol 39 (47) ◽  
pp. 14659-14680 ◽  
Author(s):  
A Ganguly ◽  
M V Ioffe ◽  
L M Nieto
Keyword(s):  
Effective Mass ◽  
Bound States ◽  
Lamé Equation

On certain expansions of the solutions of the general Lamé equation

1942 ◽  
Vol 38 (4) ◽  
pp. 364-367 ◽  
Author(s):  
A. Erdélyi
Keyword(s):  
Real Axis ◽  
Complex Plane ◽  
Recurrence Relations ◽  
Characteristic Exponent ◽  
Periodic Functions ◽  
The Real ◽  
Lamé Equation ◽  
Arbitrary Complex ◽  
Principal Value ◽  
Image Position

1. In this paper I shall deal with the solutions of the Lamé equationwhen n and h are arbitrary complex or real parameters and k is any number in the complex plane cut along the real axis from 1 to ∞ and from −1 to −∞. Since the coefficients of (1) are periodic functions of am(x, k), we conclude ](5), § 19·4] that there is a solution of (1), y0(x), which has a trigonometric expansion of the formwhere θ is a certain constant, the characteristic exponent, which depends on h, k and n. Unless θ is an integer, y0(x) and y0(−x) are two distinct solutions of the Lamé equation.It is easy to obtain the system of recurrence relationsfor the coefficients cr. θ is determined, mod 1, by the condition that this system of recurrence relations should have a solution {cr} for whichk′ being the principal value of (1−k2)½

scholarly journals QUASI-EXACTLY SOLVABLE MATRIX SCHRÖDINGER OPERATORS

2000 ◽  
Vol 15 (26) ◽  
pp. 1647-1653 ◽  
Author(s):  
YVES BRIHAYE
Keyword(s):  
Polynomial Matrix ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Lamé Equation ◽  
Matrix Potential ◽  
Exactly Solvable ◽  
The Relationship

Two families of quasi-exactly solvable 2×2 matrix Schrödinger operators are constructed. The first one is based on a polynomial matrix potential and depends on three parameters. The second is a one-parameter generalization of the scalar Lamé equation. The relationship between these operators and QES Hamiltonians already considered in the literature is pointed out.

V.—The Periodic Lamé Functions

1940 ◽  
Vol 60 (1) ◽  
pp. 47-63 ◽  
Author(s):  
E. L. Ince
Keyword(s):  
Periodic Solutions ◽  
Lamé Equation ◽  
Image Position

Any solution of the Lamé equationin which sn u has the modulus k, may be termed a Lamé function, but this paper is devoted mainly to functions of real periods 2K or 4K. We suppose that k2 ≤ 1; the number n is real, but not necessarily an integer, and it is sufficient to take n ≥ − ½. These periodic solutions exist for certain characteristic values of h; a table of such values is included in this paper.

scholarly journals Hidden nonlinear supersymmetry of finite-gap Lamé equation

2007 ◽  
Vol 644 (1) ◽  
pp. 94-98 ◽  
Author(s):  
Francisco Correa ◽  
Luis-Miguel Nieto ◽  
Mikhail S. Plyushchay
Keyword(s):  
Lamé Equation
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