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Fractional quantum mechanics /
~
Laskin, Nick,
Fractional quantum mechanics /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Fractional quantum mechanics // Nick Laskin.
Author:
Laskin, Nick,
Published:
Singapore :World Scientific, : c2018.,
Description:
xv, 341p. ;24cm.;
Subject:
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 /
LDR
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9789813223790 (cloth) :
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eng
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530.1201/514742
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Laskin, Nick,
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Fractional quantum mechanics /
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Nick Laskin.
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Singapore :
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World Scientific,
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c2018.
300
$a
xv, 341p. ;
$c
24cm.
504
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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.
$3
639930
650
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$a
Quantum theory
$x
Mathematics.
$3
639940
650
# 0
$a
Path integrals.
$3
579914
650
# 0
$a
Fractals.
$3
639711
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