Deduction of Heisenberg relations and Schrödinger equation through the structure of \(N\)-dimensional parameterized metric vector spaces

DOI10.1007/s10910-005-4531-8zbMath1217.81050OpenAlexW2057817899WikidataQ62511259 ScholiaQ62511259MaRDI QIDQ551986

Ramon Carbó-Dorca

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-005-4531-8

zbMATH Keywords

Schrödinger equationHeisenberg relationsinward vector productsparameterized vector spacesreal valued metric

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Boolean hypercubes as time representation holders ⋮ Position-momentum Heisenberg uncertainty in Gaussian enfoldments of euclidian space ⋮ Energy-time uncertainty relations and time operators

Cites Work

• About some questions relative to the arbitrariness of signs: their possible consequences in matrix signatures definition and quantum chemical applications
• Heisenberg's relations in discrete \(N\)-dimensional parameterized metric vector spaces
• Schrödinger equation from an exact uncertainty principle
• Inward matrix product algebra and calculus as tools to construct space--time frames of arbitrary dimensions

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