量子混沌导论

作者: H-J Stockmann 编

出版社: 世界图书出版公司

出版时间: 2003-11

版次: 1

ISBN: 9787506260053

定价: 79.00

装帧: 平装

开本: 24开

纸张: 胶版纸

页数: 368页

分类: 自然科学

Thisbookintroducesthequantummechanicsofclassicallychaoticsystems,orQuantumChaosforshort.Thebasicconceptsofquantumchaoscanbegraspedeasilybyanystudentofphysics,buttheunderlyingphysicalprin-ciplestendtobeobscuredbythemathematicalapparatususedtodescribeit.Theauthor'sphilosophy,therefore,hasbeentokeepthediscussionsimpleandtoillustratetheory,whereverpossible,withexperimentalornumericalexamples.Themicrowavebilliardexperiments,initiatedbytheauthorandhisgroup,playamajorroleinthisrespect.Abasicknowledgeofquantummechanicsisassumed. H-JStockmannwasbornin1945inGottingen,Germany.Hestartedhisstudiesinphysicsandmathematicsin1964attheUniversityofHeidelberg.Heperformedhisdiplomaworkinexperimentalphysics,onOpticalspectroscopywhichthefinishedin1969.Forhisdoctoralworkhechangedtonuclearsolidstatephysics,withexperimentsattheresearchreactoroftheKernforschungszentrumkarlsruhe. Preface
1Introduction
2Billiardexperiments
2.1Wavepropagationinsolidsandliquids
2.1.1Chladnifigures
2.1.2Watersurfacewaves
2.1.3Vibratingblocks
2.1.4Ultrasonicfieldsinwater-filledcavities
2.2Microwavebilliards
2.2.1Basicprinciples
2.2.2Fielddistributionsinmicrowavecavities
2.2.3Billiardswithbrokentime-reversalsymmetry
2.2.4Josephsonjunctions
2.3Mesoscopicstructures
2.3.1Antidotlattices
2.3.2Quantumdotbilliards
2.3.3Quantumwellbilliards
2.3.4Quantumcorrals

3Randommatrices
3.1Gaussianensembles
3.1.1Symmetries
3.1.2Univeraslityclasses
3.1.3DefinitionoftheGaussianensembles
3.1.4Correlatedeigenenergydistribution
3.1.5Averageddensityofstates
3.2Spectralcorrelations
……
3.3Supersymmetrymethod

4Floquetandtight-bindingsystems
4.1Hamiltonianswithperiodictimedepedences
4.2Dynamicallocalization
4.3Tight-bindingsystems

5Eigenvaluedynamics
5.1Pechukas-Yukawamodel
5.2Billiardleveldynamics
5.3Geometricalphases

6Scatteringsystems
6.1Billiardsasscatteringsystems
6.2Amplitudedistributionfunctions
6.3Fluctuationpropertiesofthescatteringmatrix

7Semiclassicalquantummechanics
7.1Integrablesystems
7.2Gutzwillertraceformula
7.3Contributionstothedensityofstates

8Applicationsofperiodicorbittheory
8.1Periodicorbitanalysisofspectraandwavefunctions
8.2Semiclassicaltheoryofspectralrigidity
8.3Periodicorbitcalculationofspectra
8.4Surfaceswithconstantnegativecurvature
References
Index
内容简介:
Thisbookintroducesthequantummechanicsofclassicallychaoticsystems,orQuantumChaosforshort.Thebasicconceptsofquantumchaoscanbegraspedeasilybyanystudentofphysics,buttheunderlyingphysicalprin-ciplestendtobeobscuredbythemathematicalapparatususedtodescribeit.Theauthor'sphilosophy,therefore,hasbeentokeepthediscussionsimpleandtoillustratetheory,whereverpossible,withexperimentalornumericalexamples.Themicrowavebilliardexperiments,initiatedbytheauthorandhisgroup,playamajorroleinthisrespect.Abasicknowledgeofquantummechanicsisassumed.
作者简介:
H-JStockmannwasbornin1945inGottingen,Germany.Hestartedhisstudiesinphysicsandmathematicsin1964attheUniversityofHeidelberg.Heperformedhisdiplomaworkinexperimentalphysics,onOpticalspectroscopywhichthefinishedin1969.Forhisdoctoralworkhechangedtonuclearsolidstatephysics,withexperimentsattheresearchreactoroftheKernforschungszentrumkarlsruhe.
目录:
Preface
1Introduction
2Billiardexperiments
2.1Wavepropagationinsolidsandliquids
2.1.1Chladnifigures
2.1.2Watersurfacewaves
2.1.3Vibratingblocks
2.1.4Ultrasonicfieldsinwater-filledcavities
2.2Microwavebilliards
2.2.1Basicprinciples
2.2.2Fielddistributionsinmicrowavecavities
2.2.3Billiardswithbrokentime-reversalsymmetry
2.2.4Josephsonjunctions
2.3Mesoscopicstructures
2.3.1Antidotlattices
2.3.2Quantumdotbilliards
2.3.3Quantumwellbilliards
2.3.4Quantumcorrals

3Randommatrices
3.1Gaussianensembles
3.1.1Symmetries
3.1.2Univeraslityclasses
3.1.3DefinitionoftheGaussianensembles
3.1.4Correlatedeigenenergydistribution
3.1.5Averageddensityofstates
3.2Spectralcorrelations
……
3.3Supersymmetrymethod

4Floquetandtight-bindingsystems
4.1Hamiltonianswithperiodictimedepedences
4.2Dynamicallocalization
4.3Tight-bindingsystems

5Eigenvaluedynamics
5.1Pechukas-Yukawamodel
5.2Billiardleveldynamics
5.3Geometricalphases

6Scatteringsystems
6.1Billiardsasscatteringsystems
6.2Amplitudedistributionfunctions
6.3Fluctuationpropertiesofthescatteringmatrix

7Semiclassicalquantummechanics
7.1Integrablesystems
7.2Gutzwillertraceformula
7.3Contributionstothedensityofstates

8Applicationsofperiodicorbittheory
8.1Periodicorbitanalysisofspectraandwavefunctions
8.2Semiclassicaltheoryofspectralrigidity
8.3Periodicorbitcalculationofspectra
8.4Surfaceswithconstantnegativecurvature
References
Index

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量子混沌导论

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