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Principles of discrete time mechanics

Jaroszkiewicz, George.

Principles of discrete time mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Principles of discrete time mechanicsGeorge Jaroszkiewicz.
Author:	Jaroszkiewicz, George.
Published:	Cambridge :Cambridge University Press,2014.
Description:	xiv, 365 p. :ill., digital ;24 cm.
Subject:	Quantum theoryMathematics.
Online resource:	https://doi.org/10.1017/CBO9781139525381
ISBN:	9781139525381$q(electronic bk.)

Principles of discrete time mechanics
Jaroszkiewicz, George.

Principles of discrete time mechanics[electronic resource] /George Jaroszkiewicz. - Cambridge :Cambridge University Press,2014. - xiv, 365 p. :ill., digital ;24 cm. - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

The physics of discreteness -- The road to calculus -- Temporal discretization -- Discrete time dynamics architecture -- Some models -- Classical cellular automata -- The action sum -- Worked examples -- Lee's approach to discrete time mechanics -- Elliptic billiards -- The construction of system functions -- The classical discrete time oscillator -- Type 2 temporal discretization -- Discrete time quantum mechanics -- The quantized discrete time oscillator -- Path integrals -- Quantum encoding -- Discrete time classical field equations -- The discrete time Schrodinger equation -- The discrete time Klein-Gordon equation -- The discrete time Dirac equation -- Discrete time Maxwell's equations -- The discrete time Skyrme model -- Discrete time quantum field theory -- Interacting discrete time scalar fields -- Space, time and gravitation -- Causality and observation -- Concluding remarks.

Could time be discrete on some unimaginably small scale? Exploring the idea in depth, this unique introduction to discrete time mechanics systematically builds the theory up from scratch, beginning with the historical, physical and mathematical background to the chronon hypothesis. Covering classical and quantum discrete time mechanics, this book presents all the tools needed to formulate and develop applications of discrete time mechanics in a number of areas, including spreadsheet mechanics, classical and quantum register mechanics, and classical and quantum mechanics and field theories. A consistent emphasis on contextuality and the observer-system relationship is maintained throughout.

ISBN: 9781139525381$q(electronic bk.)Subjects--Topical Terms:

207816
Quantum theory
--Mathematics.

LC Class. No.: QC174.13 / .J37 2014

Dewey Class. No.: 530.12

Principles of discrete time mechanics
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300 $a xiv, 365 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge monographs on mathematical physics
505 0 $a The physics of discreteness -- The road to calculus -- Temporal discretization -- Discrete time dynamics architecture -- Some models -- Classical cellular automata -- The action sum -- Worked examples -- Lee's approach to discrete time mechanics -- Elliptic billiards -- The construction of system functions -- The classical discrete time oscillator -- Type 2 temporal discretization -- Discrete time quantum mechanics -- The quantized discrete time oscillator -- Path integrals -- Quantum encoding -- Discrete time classical field equations -- The discrete time Schrodinger equation -- The discrete time Klein-Gordon equation -- The discrete time Dirac equation -- Discrete time Maxwell's equations -- The discrete time Skyrme model -- Discrete time quantum field theory -- Interacting discrete time scalar fields -- Space, time and gravitation -- Causality and observation -- Concluding remarks.
520 $a Could time be discrete on some unimaginably small scale? Exploring the idea in depth, this unique introduction to discrete time mechanics systematically builds the theory up from scratch, beginning with the historical, physical and mathematical background to the chronon hypothesis. Covering classical and quantum discrete time mechanics, this book presents all the tools needed to formulate and develop applications of discrete time mechanics in a number of areas, including spreadsheet mechanics, classical and quantum register mechanics, and classical and quantum mechanics and field theories. A consistent emphasis on contextuality and the observer-system relationship is maintained throughout.
650 0 $a Quantum theory $x Mathematics. $3 207816
650 0 $a Mechanics. $3 200022
830 0 $a Cambridge monographs on mathematical physics. $3 490060
856 4 0 $u https://doi.org/10.1017/CBO9781139525381