Principles of discrete time mechanics /
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 classica...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2014.
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| Series: | Cambridge monographs on mathematical physics.
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| Subjects: | |
| Online Access: | CONNECT |
Table of 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.
