000 02857nam a22003618i 4500
001 CR9781139525381
003 UkCbUP
005 20200124160240.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 120622s2014||||enk o ||1 0|eng|d
020 _a9781139525381 (ebook)
020 _z9781107034297 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.13
_b.J37 2014
082 0 0 _a530.12
_223
100 1 _aJaroszkiewicz, George,
_eauthor.
245 1 0 _aPrinciples of discrete time mechanics /
_cGeorge Jaroszkiewicz, University of Nottingham.
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xiv, 365 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aThe 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 _aCould 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 _aQuantum theory
_xMathematics.
650 0 _aMechanics.
776 0 8 _iPrint version:
_z9781107034297
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139525381
999 _c518424
_d518422