Abstract
The mathematical theory of stochastic dynamic programming has cast a new light on the conceptual foundation of wave mechanics [1]. In this chapter we shall return to an illustration of that point of view, and more specifically to section 5 of the paper by Blaquière and Marzollo, published in [2]. Recently we have been aware, thanks to J.C. Zambrini, of an article by Schrödinger published in 1932 [3], in which a model identical with ours was presented as a possible starting point for an alternative approach to wave mechanics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Blaquière, A., System Theory: A New Approach to Wave Mechanics, Journal of Optimization Theory and Applications, Vol.32, N°4, 1980.
Blaquière, A., Marzollo, A., Introduction à la théorie moderne de l’optimisation et à certains de ses aspects fondamentaux an physique, In La pensée physique contemporaine, Edts., S. Diner, D. Fargue, G. Lochak, Editions Augustin Fresnel, 1982.
Schrödinger, E., Une analogie entre la mécanique ondulatoire et quelques problèmes de probabilités en physique classique, Annales de l’Institut Henri Poincaré, 1932.
Dreyfus, S.E., Dynamic Programming and the Calculus of Variations, Academic Press, New York, 1965.
De Broglie, L., Line tentative d’interpretation causale et non-linéaire de la mécanique ondulatoire, Gauthier-villars, Paris, 1956.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag Wien
About this paper
Cite this paper
Blaquière, A., Marzollo, A. (1987). An Alternative Approach to Wave Mechanics of A Particle at the Non-Relativistic Approximation. In: Blaquiere, A., Diner, S., Lochak, G. (eds) Information Complexity and Control in Quantum Physics. International Centre for Mechanical Sciences, vol 294. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2971-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2971-5_9
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81992-0
Online ISBN: 978-3-7091-2971-5
eBook Packages: Springer Book Archive