Results 101 to 110 of about 412 (154)

Quantum scattering by Wronskians

, 2011
We show that Wronskians between properly chosen linearly independent solutions of the Schrödinger equation greatly facilitate the study of quantum scattering in one dimension. They enable one to obtain the necessary relationships between the coefficients that determine the asymptotic behavior of the wavefunction.
openaire   +2 more sources

Rational approximations to solutions of linear differential equations. [PDF]

Proc Natl Acad Sci U S A, 1983
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

Symmetry of the Transmission Coefficients for the Passage of Particles through Potential Barriers. [PDF]

Proc Natl Acad Sci U S A, 1937
Muskat M, Hutchisson E.
europepmc   +1 more source

Note on a Generalization of Taylor's Series. [PDF]

Proc Natl Acad Sci U S A, 1927
Widder DV.
europepmc   +1 more source

Improved fewnomial upper bounds from Wronskians and dessins d'enfant

We use Grothendieck's dessins d'enfant to show that if P and Q are two real polynomials, any real function of the form x^α * (1-x)^β * P - Q, has at most deg P + deg Q + 2 roots in the interval ]0, 1[.
El Hilany, Boulos, Tavenas, Sébastien
core  

Discrete Equations from BäckLund Transformations of the Fifth Painlevé Equation. [PDF]

Math Phys Anal Geom
Clarkson PA, Dunning C, Mitchell B.
europepmc   +1 more source

Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]

Sci Rep
Riaz HWA, Yildirim Y, Alshuhail A.
europepmc   +1 more source

Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]

Commun Math Phys
Garoufalidis S, Gu J, Mariño M, Wheeler C.   +3 more
europepmc   +1 more source

Determinantal ideals, identities, and the Wronskian [PDF]

Pacific Journal of Mathematics, 1972
openaire   +2 more sources

Nth-order solutions to the Davey-Stewartson equations in terms of wronskians +

Solutions to the Davey-Stewartson equations (DS) in terms of determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of order N to this equation.
Gaillard, Pierre
core