2003
DOI: 10.1088/0305-4470/36/44/008
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Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics

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Cited by 22 publications
(32 citation statements)
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“…Let a and b be defined by (6) and h be a scalar continuously differentiable function in˜ . For an arbitrary scalar function ∈ C [2,1] (˜ ) the equality holds…”
Section: Corollarymentioning
confidence: 99%
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“…Let a and b be defined by (6) and h be a scalar continuously differentiable function in˜ . For an arbitrary scalar function ∈ C [2,1] (˜ ) the equality holds…”
Section: Corollarymentioning
confidence: 99%
“…For a = 0, = 0, = 0 Theorem 1 was proved in [5] and was intensively used in [6,7,12,18,[23][24][25] and others.…”
Section: Remarkmentioning
confidence: 99%
See 1 more Smart Citation
“…These include for instance the stationary Lamé-, Navier-Stokes-, Maxwell-and Schrödinger equation and many others. See also [4,6,7,11] or [12]. Indeed, this kind of L 2 -space decomposition (when applicable) represents one of the most central aspects of complex and hypercomplex analysis.…”
Section: Introductionmentioning
confidence: 99%
“…However, since it is a theory for elliptic partial differential equations it works for the stationary case only. In this paper we use two extra basis elements (which forms a Witt basis) in order to construct a parabolic Dirac operator which factorizes the Schroedinger operator and which contains only partial derivatives (thus, avoiding the use of fractional derivatives) (for the stationary case, see also [6]). …”
Section: Introductionmentioning
confidence: 99%