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Fractional quantum mechanics /

Laskin, Nick,

Fractional quantum mechanics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fractional quantum mechanics // Nick Laskin.
作者:	Laskin, Nick,
出版者:	Singapore :World Scientific, : c2018.,
面頁冊數:	xv, 341p. ;24cm.;
標題:	Schrödinger equation. -
ISBN:	9789813223790 (cloth) :

Fractional quantum mechanics /
Laskin, Nick,

Fractional quantum mechanics /Nick Laskin. - Singapore :World Scientific,c2018. - xv, 341p. ;24cm.

Includes bibliographical references and index.

What is fractional quantum mechanics? -- Fractals -- Fractional Schrödinger equation -- Time-independent fractional Schrödinger equation -- Fractional uncertainty relation -- Path integral over Lévy flights -- A free particle quantum kernel -- Transforms of a free particle kernel -- Fractional oscillator -- Some analytically solvable models of fractional quantum mechanics -- Fractional non-linear quantum dynamics -- Time fractional quantum mechanics -- Applications of time fractional quantum mechanics -- Fractional statistical mechanics -- Fractional classical mechanics -- Fractional dynamics in polar coordinate system.

"Fractional quantum mechanics is a recently developed natural generalization of quantum mechanics. This book summarizes fundamentals and applications of fractional quantum mechanics. The book presents the fractional Schrödinger equation, which is a manifestation of fractional quantum mechanics. A new theoretical tool -- fractional path integral -- the path integral over Lévy flights, has been presented. The fractional path integral method enhances the well-known Feynman path integral framework. The book covers related topics on time fractional quantum mechanics, fractional classical mechanics and the [alpha]-stable Lévy random process. The book is helpful as a monograph and a handbook for theorists, pure and applied mathematicians, solid-state physicists and chemists working with the Schrödinger equation, the path integral technique and applications of fractional calculus in different research areas"--

ISBN: 9789813223790 (cloth) :NT3606

LCCN: 2017051779Subjects--Topical Terms:

639930
Schrödinger equation.

LC Class. No.: QC174.17.M35 / L37 2018

Dewey Class. No.: 530.1201/514742

Fractional quantum mechanics /
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082 0 0 $a 530.1201/514742 $2 23
100 1 $a Laskin, Nick, $e author. $3 1222004
245 1 0 $a Fractional quantum mechanics / $c Nick Laskin.
260 # $a Singapore : $b World Scientific, $c c2018.
300 $a xv, 341p. ; $c 24cm.
504 $a Includes bibliographical references and index.
505 0 # $a What is fractional quantum mechanics? -- Fractals -- Fractional Schrödinger equation -- Time-independent fractional Schrödinger equation -- Fractional uncertainty relation -- Path integral over Lévy flights -- A free particle quantum kernel -- Transforms of a free particle kernel -- Fractional oscillator -- Some analytically solvable models of fractional quantum mechanics -- Fractional non-linear quantum dynamics -- Time fractional quantum mechanics -- Applications of time fractional quantum mechanics -- Fractional statistical mechanics -- Fractional classical mechanics -- Fractional dynamics in polar coordinate system.
520 # $a "Fractional quantum mechanics is a recently developed natural generalization of quantum mechanics. This book summarizes fundamentals and applications of fractional quantum mechanics. The book presents the fractional Schrödinger equation, which is a manifestation of fractional quantum mechanics. A new theoretical tool -- fractional path integral -- the path integral over Lévy flights, has been presented. The fractional path integral method enhances the well-known Feynman path integral framework. The book covers related topics on time fractional quantum mechanics, fractional classical mechanics and the [alpha]-stable Lévy random process. The book is helpful as a monograph and a handbook for theorists, pure and applied mathematicians, solid-state physicists and chemists working with the Schrödinger equation, the path integral technique and applications of fractional calculus in different research areas"-- $c Provided by publisher.
650 # 0 $a Schrödinger equation. $3 639930
650 # 0 $a Quantum theory $x Mathematics. $3 639940
650 # 0 $a Path integrals. $3 579914
650 # 0 $a Fractals. $3 639711