Multidimensional inverse-scattering and Clifford analysis

DOI10.1016/S0893-9659(02)00081-2zbMath1018.35063MaRDI QIDQ1861844

Swanhild Bernstein

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

inverse scattering transformClifford analysisgeneralized Cauchy formula\(\overline\partial\) methodtime-dependent Schrödinger-type equations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Inverse problems for PDEs (35R30) PDEs in connection with quantum mechanics (35Q40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

The Schrödinger equation and a multidimensional inverse scattering transform ⋮ Leveraging prior known vector Green functions in solving perturbed Dirac equation in Clifford algebra

Cites Work

• Martinelli-Bochner type formulae in complex Clifford analysis
• A Multidimensional Inverse-Scattering Method
• Scattering and inverse scattering for first order systems
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