Remarks on contemporary wave mechanics

Viktor Trkal

Louis de Broglie

Sudhir R. Jain, Rhine Samajdar

The 200-year old studies by Chladni, of the sand figures of vibrating plates, live on today in the investigation of the wave mechanics of nonintegrable systems. This review gives an in-depth survey of the contemporary mathematical analysis of the wave-function statistics of the billiard problem, uncovering the manifestations of classical chaos in the wave-mechanical world. The extensive experiments of recent years are surveyed. The illustrations show the continuing Chladnian splendor of the current-day subject.

Louis de Broglie

Vladislav Terekhovich

Some interpretations of quantum mechanics use notions of possible states and possible trajectories. I investigate how this modal approach correlates with several metaphysical conceptions of a transition from potential to actual existence. The comparison is based on a discussion in contemporary analytical metaphysics of modality. I also consider an analogy between Leibniz's theory of the possibilities striving towards existence, wave mechanics of Schrodinger, and Feynman path integral.

Louis de Broglie, Joār Andrade e Silva