Dirichlet problems for stationary von Neumann-Landau wave equations

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dc.creatorChen, Zeqian
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:12Z
dc.date.available2026-07-07T08:03:12Z
dc.descriptionIt is known that von Neumann-Landau wave equation can present a mathematical formalism of motion of quantum mechanics, that is an extension of Schrödinger's wave equation. In this paper, we concern with the Dirichlet problem of the stationary von Neumann-Landau wave equation: {(- \triangle_x + \triangle_y) Φ(x, y) = 0, x, y \in Ω, Φ|_{\partial Ω\times \partial Ω} = f, where $Ω$ is a bounded domain in $\mathbf{R}^n.$ By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0705.3685
dc.identifierhttp://arxiv.org/abs/0705.3685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129493
dc.subjectMathematical Physics
dc.subject35Q40
dc.titleDirichlet problems for stationary von Neumann-Landau wave equations
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