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On velocity‐independent potentials
International Journal of Mathematical Education in Science and Technology, 1993We construct one‐dimensional velocity‐independent potentials for which the Schrodinger differential equation can be solved by means of hypergeometric functions and confluent hypergeometric functions.
E.A. Notte Cuello +1 more
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On Velocity Potentials and Stress Functions
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1978AbstractBy using a variational principle which is complementary to Hamilton's Principle, and by introducing new stress functions, the domain of application of stress functions has been extended to problems of elastodynamics. The Euler‐Lagrange equations associated with the new stress functions emerge as additional compatibility conditions involving the
Dost S., Tabarrok B.
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Properties of Velocity-Dependent Potentials
Journal of Mathematical Physics, 1967Properties of the solutions of the Schrödinger equation with a velocity-dependent potential are studied. Particular attention is given to the examination of the singularities of the differential equation. In the particular cases of one dimension and of the l = 0 partial wave of a spherically symmetric problem, a simple correspondence is found between ...
Erasmo M. Ferreira +2 more
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Metabolic Energy Cost of Action Potential Velocity
Journal of Neurophysiology, 2006The action potential of the unmyelinated nerve is metabolically expensive. Using the energetic cost per unit length for the biophysically modeled action potential of the squid giant axon, we analyze this cost and identify one possible optimization. The energetic cost arising from an action potential is divided into three separate components: 1) the ...
Patrick, Crotty +2 more
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