Principles of discrete time mechanics /
Jaroszkiewicz, George.
Principles of discrete time mechanics / George Jaroszkiewicz. - Cambridge ; New York : Cambridge University Press, 2014. - xiv, 365 p. : ill. ; 26 cm. - Cambridge monographs on mathematical physics. .
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.
9781107034297 1107034299
Quantum theory--Mathematics.
Mechanics.
530.12 / JAR
Principles of discrete time mechanics / George Jaroszkiewicz. - Cambridge ; New York : Cambridge University Press, 2014. - xiv, 365 p. : ill. ; 26 cm. - Cambridge monographs on mathematical physics. .
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.
9781107034297 1107034299
Quantum theory--Mathematics.
Mechanics.
530.12 / JAR