(ebook - pdf) - classical and quantum chaos

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1、ClassicalandQuantumChaosPredragCvitanovi´c–RobertoArtuso–FreddyChristiansen–PerDahlqvist–RonnieMainieri–HansHenrikRugh–GregorTanner–G´aborVattay–NiallWhelan–AndreasWirzba—————————————————————-version7.0.1Aug6,2000printedAugust24,2000www.nbi.dk/ChaosBook

2、/commentsto:predrag@nbi.dkContentsContributors.................................ii1Overture11.1Whythisbook?.............................21.2Chaosahead..............................31.3Agameofpinball............................41.4Periodicorbittheory.....

3、.....................121.5Evolutionoperators..........................171.6Fromchaostostatisticalmechanics..................201.7Semiclassicalquantization.......................211.8Guidetoliterature...........................23Guidetoexercises.........

4、....................25Resum´e..................................26Exercises..................................302Trajectories312.1Flows..................................312.2Maps...................................362.3Infinite-dimensionalflows..............

5、.........40Exercises..................................473Localstability513.1Flowstransportneighborhoods....................513.2Linearstabilityofmaps........................563.3Billiards.................................56Exercises......................

6、............604Transportingdensities634.1Measures................................644.2Densityevolution............................654.3Invariantmeasures...........................664.4Evolutionoperators..........................68Resum´e................

7、..................72Exercises..................................73iiiCONTENTS5Averaging775.1Dynamicalaveraging..........................775.2Evolutionoperators..........................83Resum´e..................................87Exercises...............

8、...................896Traceformulas916.1Traceofanevolutionoperator....................916.2Anasymptotictraceformula.....................98Resum´e..................................100Exercises..................................1017