Lagrangian quantum field theory in momentum picture : free fields / Bozhidar Z. Iliev.

Format:

Book

Author/Creator:

Iliev, Bozhidar Z. (Bozhidar Zakhariev)

Language:

English

Subjects (All):

Quantum field theory.

Lagrangian functions.

Momentum (Mechanics).

Physical Description:

1 online resource (307 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2008.

Language Note:

English

Summary:

The monograph is devoted to in-depth analysis of the Langrangian approach in momentum picture of motion to quantum free scalar, spinor and vector fields. The main purpose is to suggest a new approach and analysis of known of problems which results in reestablishment of known facts and new results.

Contents:

Intro

LAGRANGIANQUANTUMFIELDTHEORYINMOMENTUMPICTURE.FREEFIELDS

Contents

ListofConventions

Preface

Acknowledgments

ChapterILagrangianFormalismandtheMomentumPicture

1.Introduction

2.LagrangianFormalism

3.DerivativesRelativetoOperatorsandLagrangianFormalism

4.HeisenbergRelations

5.TheMomentumPictureofMotion

6.GeneralAspectsofLagrangianFormalisminMomentumPicture

7.OntheMomentumRepresentationandParticleInterpretation

8.TheMomentumPictureas4-DimensionalAnalogueoftheSchr¨odingerOne

9.Conclusion

ChapterIIFreeScalarFields

II.A.NeutralScalarFields

2.DescriptionofFreeNeutralScalarFieldinMomentumPicture

3.AnalysisoftheKlein-GordonEquation

4.FrequencyDecompositionsandTheirPhysicalMeaning

5.TheKlein-GordonEquationsinTermsofCreationandAnnihilationOperators

6.CommutationRelations

7.VacuumandNormalOrdering

8.StateVectorsandTransitionsbetweenThem

II.B.ArbitraryScalarFields

9.DescriptionofFreeScalarField

10.AnalysisoftheFieldEquations

11.FrequencyDecompositionsandTheirPhysicalMeaning

12.TheFieldEquationsinTermsofCreationandAnnihilationOperators

13.TheChargeandOrbitalAngularMomentumOperators

14.CommutationRelations

15.VacuumandNormalOrdering

16.StateVectors

17.Conclusion

ChapterIIIFreeSpinorFields

2.DescriptionofFreeSpinorFieldinMomentumPicture

3.AnalysisoftheDiracEquation(s)

4.FrequencyDecompositions

5.TheDynamicalVariablesinTermsofCreationandAnnihilationOperators

6.TheFieldEquationsinTermsofCreationandAnnihilationOperators

7.AnticommutationRelations

8.VacuumandNormalOrdering

9.StateVectors

10.OntheChoiceofLagrangianandItsConsequences

11.Conclusion

ChapterIVFreeVectorFields

1.Introduction.

2.DescriptionofFreeVectorFieldinMomentumPicture

3.AnalysisoftheFieldEquations

4.FrequencyDecompositionsandCreationandAnnihilationOperators

7.CommutationRelations

9.StateVectorsandParticleInterpretation

10.TheMasslessCaseandElectromagneticFieldinLorenzGauge

10.1.ProblemsintheMasslessCase

10.2.ElectromagneticField

11.OntheChoiceofLagrangian

12.OntheRoleoftheLorenzConditionintheMasslessCase

12.1.DescriptionofFreeMasslessVectorFieldswithouttheLorenzCondition

12.2.AnalysisoftheEuler-LagrangeEquations

12.3.DynamicalVariables

12.4.TheFieldEquations

12.5.Discussion

13.Conclusion

ChapterVCommutationRelationsforFreeFields

2.Lagrangians,Euler-LagrangeEquationsandDynamicalVariables

3.OntheUniquenessoftheDynamicalVariables

5.TypesofPossibleCommutationRelations

5.1.RestrictionsRelatedtotheMomentumOperator

5.2.RestrictionsRelatedtotheChargeOperator

5.3.RestrictionsRelatedtotheAngularMomentumOperator(s)

6.Inferences

7.StateVectors,VacuumandMeanValues

8.CommutationRelationsforSeveralCoexistingDifferentFreeFields

8.1.CommutationRelationsConnectedwiththeMomentumOperator.ProblemsandTheirPossibleSolutions

8.2.CommutationRelationsConnectedwiththeChargeandAngularMmomentumOperators

8.3.CommutationRelationsbetweentheDynamicalVariables

8.4.CommutationRelationsundertheUniquenessConditions

References

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [277]-281) and index.

ISBN:

1-60692-490-7

OCLC:

265054082