Results 171 to 180 of about 1,020 (214)
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Pyramidal composition rules for Wronskians upon Wronskians
Journal of Mathematical Physics, 1975We give composition rules for Wronskians which have Wronskians as arguments. These pyramids of Wronskians are shown to reduce to products of Wronskians of different order. Many symmetric and antisymmetric regroupings of functions are then possible. The arithmetic of Wronskians can efficiently be reduced to the application of the ℏ⇊ of the LSZ formalism.
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Journal of Mathematical Physics, 2004
Based on the standard fact that any matrix potential u=u(x) determines a family of Jost solutions whose parameter runs analytically (continuously) on the (closed) half planes, respectively, the zeros of a suitable matrix valued Wronskian of a Jost solution pair are explored.
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Based on the standard fact that any matrix potential u=u(x) determines a family of Jost solutions whose parameter runs analytically (continuously) on the (closed) half planes, respectively, the zeros of a suitable matrix valued Wronskian of a Jost solution pair are explored.
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On the Zeros of a Certain Wronskian
Bulletin of the London Mathematical Society, 1988The proof of the Nevanlinna second main theorem for small functions, see [\textit{N. Steinmetz}, J. Reine Angew. Math. 368, 134-141 (1986; Zbl 0598.30045)], is based essentially on the estimate \[ m(r,L(f)^{-1})\leq m(r,L(f))+(2+\epsilon)N(r,f)+S(r,f), \] where L(f) is the quotient of two Wronskian, \[ L(f)=W(y_ 1,...,y_ q,f)/W(y_ 1,...,y_ q), \] with ...
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The European Physical Journal A, 2007
We develop a perturbation method that generalizes an approach proposed recently to treat velocity-dependent quantum-mechanical models. In order to test the present approach we apply it to some simple trivial and nontrivial examples.
P. Amore, F. M. Fernández
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We develop a perturbation method that generalizes an approach proposed recently to treat velocity-dependent quantum-mechanical models. In order to test the present approach we apply it to some simple trivial and nontrivial examples.
P. Amore, F. M. Fernández
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Moscow University Mathematics Bulletin, 2011
An associative multilinear polynomial depending on 16 variables and being skew-symmetric with respect to 12 of them is presented. This polynomial provides us with a mapping recovering the algebra of regular functions of an irreducible affine variety from any smooth involutive distribution of dimension 2.
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An associative multilinear polynomial depending on 16 variables and being skew-symmetric with respect to 12 of them is presented. This polynomial provides us with a mapping recovering the algebra of regular functions of an irreducible affine variety from any smooth involutive distribution of dimension 2.
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Wronskians, Cumulants, and the Riemann Hypothesis
Constructive Approximation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Physics, 2010
In this paper, the Wronskian technique is applied to the vector nonlinear Schrödinger equation with arbitrary m components, which arises from some applications in the multimode fibers, photorefractive materials, and Bose–Einstein condensates. Via the iterative algorithm based on the Darboux transformation, the (m+1)-component Wronskian solution is ...
Xu, Tao, Tian, Bo
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In this paper, the Wronskian technique is applied to the vector nonlinear Schrödinger equation with arbitrary m components, which arises from some applications in the multimode fibers, photorefractive materials, and Bose–Einstein condensates. Via the iterative algorithm based on the Darboux transformation, the (m+1)-component Wronskian solution is ...
Xu, Tao, Tian, Bo
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1997
Let u0,..., un−1 be the basis of solutions of equation (1.1) which is defined in Chapter 3.
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Let u0,..., un−1 be the basis of solutions of equation (1.1) which is defined in Chapter 3.
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n-Lie Structures That Are Generated by Wronskians
Siberian Mathematical Journal, 2005Summary: We study the \((k + 1)\)-Lie structures, \(k\)-left commutative and homotopy \((k + 1)\)-Lie structures with multiplication generated by Wronskians and prove that the nontrivial structures of \(n\)-Lie algebras appear only in the case of small characteristic.
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On The Wronskian Test for Independence
The American Mathematical Monthly, 1970(1970). On The Wronskian Test for Independence. The American Mathematical Monthly: Vol. 77, No. 1, pp. 65-66.
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