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Principles of discrete time mechanics / George Jaroszkiewicz.

By: Jaroszkiewicz, George.
Material type: materialTypeLabelBookSeries: Cambridge monographs on mathematical physics.Publisher: Cambridge ; New York : Cambridge University Press, 2014Description: xiv, 365 p. : ill. ; 26 cm.ISBN: 9781107034297; 1107034299.Subject(s): Quantum theory -- Mathematics | Mechanics | | Engineering, Electrical October2016DDC classification: 530.12
Contents:
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.
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Item type Current location Collection Call number Vol info Status Date due Barcode Item holds
Book - Borrowing Book - Borrowing Central Library
First floor
Baccah 530.12 JAR (Browse shelf) 3649 Available 000034544
Total holds: 0

Index : p. 361-365.

Bibliography : p. 353-360.

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.

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