非相对论量子力学基础（英文版）

图书标准信息

• 作者 L.Sobrino 著
• 出版社 世界图书出版公司
• 出版时间 2000-06
• 版次 1
• ISBN 9787506247184
• 定价 40.00元
• 装帧 平装
• 开本 其他
• 纸张 胶版纸
• 页数 332页

【内容简介】

It is almost a trivial observation that many collective endeavours require the accomplishment of numerous complicated tasks, and that the different individuals that perform them may lose sight of the overall design. Like other creative endeavours, the scientific quest is particularly prone to such a state of affairs, for not only does the difficulty of the tasks absorb the mind but the beauty of what is learnt in performing them engages the soul. Like a diver, who may be so charmed by the nearby coral so as to forget that its beauty is but a minute reflection of the majestic beauty of the ocean, a spectroscopist may be so taken by the beautiful symmetries that the molecules exhibit so as to loose sight of the wonderful structure of quantum mechanics that informs them. ...

【目录】

PREFACE.

I.INTRODUCTION

1.Descriptionofexperiments

2.Theconceptofphysicalsystem

3.Preparationandmeasurement

II.STATESANDOBSERVABLES

1.Statesandamplitudes

2.Anexample:spin1/2

3.Observables

4.Thedensityoperator

III.COMMENSURABILITY

　1.Thespinexamplecontinued

　2.Differentkindsofmeasurement

　3.Commensurableobservables

　4.Theuncertaintyrelation

IV.DYNAMICS

　1.Thcdynamicalpostulate

　2.Schrodinger,Helsenbergandmixedpictures

　3.Anasideonfunctionsofseveralobservables

　4.Thehamiltonian

　5.Equationsofmotioninthedifferentpictures

　6.Anexample

V.GENERALFORMULATION

　1.Generalizationofthebasicpostulates

　2.Dirac'sformulation

　3.Kinematicalsymmetries

　4.Thedynamicsunderakinematicalsymmetry

　5.Thegalileantransformationsaskinematicalsymmetries

　6.Thegeneratorsofkinematicalgalileantransformations

　7.Superselectionrules

VI.APARTICLEINONEDIMENSION

　1.Aparticlewithoutspin

　2.Themomentumoperator

　3.Thevelocity,themassandthehamiltonian

　4.Anexample:theharmonicoscillator

　5.Aparticleinaconstantforcefield

VII.ASPINLESSPARTICLEINTHREEDIMENSIONS

　1.Position,momentumandthehamiltonian

　2.Rotations,theorbitalangularmomentum

　3.Theangularmomentumcommutationrelations

　4.Spectralresolutionoftheorbitalangularmomentum

　5.Thefreeparticle

　6.TheWignerdistributionfunction

　7.Theharmonicoscillator

　8.Thespinlessparticleinageneralcoordinatesystem

　9.Theparticleinacentralfield

VIII.DYNAMICALSYMMETRIESANDCONSERVATIONLAWS

　1.Thedynamicalsymmetrytransformationsofquantummechanics..

　2.Unitarytransformationsandconstantsofthemotion

　3.Spaceinversion,theparityobservable

　4.Timereversal

　5.Thegalileantransformationsasdynamicalsymmetries

IX.APARTICLEWITHSPIN

　1.Internaldegreesoffreedomandgalileaninvariance

　2.Spinandrotations

　3.Theparticlewithspin

　4.Tilehamiltonianofaparticlewithspin

　5.Example:aneutralparticleinamagneticfield

X.SYSTEMSCOMPOSEDOFDIFFERENTSUBSYSTEMS

　1.Thedescriptionofsystemsformedbydifferentsubsystems

　2.Asystemoftwodifferentparticles

　3.Someusefulrepresentations

　4.Thestateofasubsystem

　5.Example:statesofaparticleinamagneticfield

XI.SYSTEMSOFIDENTICALPARTICLES

　1.Thedescriptionofsystemsformedbytwoidenticalsubsystems

　2.Example:asystemoftwoidenticalparticles

　3.Thedescriptionofsystemsofmanyidenticalparticles

　4.Numberrepresentationofsystemsofidenticalparticles

　5.Anassemblyofbosons

　6.Anassemblyoffermions

APPENDIXA.FINITE-DIMENSIONALVECTORSPACES

　1.Basicdefinitions

　2.Operatorsinunitaryspaces

　3.Thespectraltheorem

　4.Thetensorproduct

　5.Antilinearoperators

　6.Wigner'stheorem

APPENDIXB.THEHILBERTSPACE

　1.Basicdefinitions,unboundedoperators

　2.Thespectraltheorem

　3.Functionspacerepresentation

APPENDIXC.DIRAC'SFORMULATIONINTHEHILBERTSPACE

　1.Tempereddistributions

　2.GeneralizationtoanarbitraryHilbertspace

　3.Dirac'sformulation

APPENDIXD.AREMINDERFROMCLASSICALMECHANICS

　1.Canonicaltransformations

　2.Areminderfromclassicalmechanics

NOTES

BIBLIOGRAPHY

INDEX