LAGRANGIAN QUANTUM FIELD THEORYIN MOMENTUM PICTURE.FREE FIELDS -- NOTICE TO THE READER -- Contents -- List of Conventions -- Preface -- Acknowledgments -- Lagrangian Formalism andthe Momentum Picture -- 1. Introduction -- 2. Lagrangian Formalism -- 3. Derivatives Relative to Operatorsand Lagrangian Formalism -- 4. Heisenberg Relations -- 5. The Momentum Picture ofMotion -- 6. General Aspects of Lagrangian Formalismin Momentum Picture -- 7. On the Momentum Representation andParticle Interpretation -- 8. The Momentum Picture as 4-Dimensional Analogue ofthe Schrödinger One -- 9. Conclusion -- Free Scalar Fields -- 1. Introduction -- II.A. Neutral Scalar Fields -- 2. Description of Free Neutral Scalar Fieldin Momentum Picture -- 3. Analysis of the Klein-Gordon Equation -- 4. Frequency Decompositions and Their PhysicalMeaning -- 5. The Klein-Gordon Equations in Terms ofCreation and Annihilation Operators -- 6. Commutation Relations -- 7. Vacuum and Normal Ordering -- 8. State Vectors and Transitions between Them -- II.B. Arbitrary Scalar Fields -- 9. Description of Free Scalar Field -- 10. Analysis of the Field Equations -- 11. Frequency Decompositions and Their PhysicalMeaning -- 12. The Field Equations in Terms of Creation andAnnihilation Operators -- 13. The Charge and Orbital Angular MomentumOperators -- 14. Commutation Relations -- 15. Vacuum and Normal Ordering -- 16. State Vectors -- 17. Conclusion -- Free Spinor Fields -- 1. Introduction -- 2. Description of Free Spinor Field in Momentum Picture -- 3. Analysis of the Dirac Equation(s) -- 4. Frequency Decompositions -- 5. The Dynamical Variables in Terms ofCreation and Annihilation Operators -- 6. The Field Equations in Terms of Creation andAnnihilation Operators -- 7. Anticommutation Relations -- 8. Vacuum and Normal Ordering -- 9. State Vectors.

10. On the Choice of Lagrangian and Its Consequences -- 11. Conclusion -- Free Vector Fields -- 1. Introduction -- 2. Description of Free Vector Field in Momentum Picture -- 3. Analysis of the Field Equations -- 4. Frequency Decompositions andCreation and Annihilation Operators -- 5. The Dynamical Variables inTerms of Creation and Annihilation Operators -- 6. The Field Equations in Terms of Creation andAnnihilation Operators -- 7. Commutation Relations -- 8. Vacuum and Normal Ordering -- 9. State Vectors and Particle Interpretation -- 10. The Massless Case andElectromagnetic Field in Lorenz Gauge -- 10.1. Problems in the Massless Case -- Conjecture 10.2. -- Conjecture 10.3. -- 11. On the Choice of Lagrangian -- 12. On the Role of the Lorenz Condition in the Massless Case -- 12.1. Description of Free Massless Vector Fieldswithout the Lorenz Condition -- 12.2. Analysis of the Euler-Lagrange Equations -- 12.3. Dynamical Variables -- 12.4. The Field Equations -- 12.5. Discussion -- 13. Conclusion -- Commutation Relations for Free Fields -- 1. Introduction -- 2. Lagrangians, Euler-Lagrange Equationsand Dynamical Variables -- 3. On the Uniqueness of the Dynamical Variables -- 4. Heisenberg Relations -- 5. Types of Possible Commutation Relations -- 5.1. Restrictions Related to the Momentum Operator -- 5.2. Restrictions Related to the Charge Operator -- 5.3. Restrictions Related to the Angular Momentum Operator(s) -- 6. Inferences -- 7. State Vectors, Vacuum and Mean Values -- 8. Commutation Relations forSeveral Coexisting Different Free Fields -- 8.1. Commutation Relations Connected with the MomentumOperator. Problems and Their Possible Solutions -- 8.2. Commutation Relations Connected with the Charge andAngularMmomentum Operators -- 8.3. Commutation Relations between the Dynamical Variables -- 8.4. Commutation Relations under the Uniqueness Conditions.

9. Conclusion -- References -- Index.