Fractional quantum mechanics is a recently emerged and rapidly
developing field of quantum physics.This is the first monograph on
fundamentals and physical applications of fractional quantum
mechanics, written by its founder.The fractional Schroedinger
equation and the fractional path integral are new fundamental
physical concepts introduced and elaborated in the book. The
fractional Schroedinger equation is a manifestation of fractional
quantum mechanics. The fractional path integral is a new
mathematical tool based on integration over Levy flights. The
fractional path integral method enhances the well-known Feynman
path integral framework.Related topics covered in the text include
time fractional quantum mechanics, fractional statistical
mechanics, fractional classical mechanics and the -stable Levy
random process.The book is well-suited for theorists, pure and
applied mathematicians, solid-state physicists, chemists, and
others working with the Schroedinger equation, the path integral
technique and applications of fractional calculus in various
research areas. It is useful to skilled researchers as well as to
graduate students looking for new ideas and advanced approaches.
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