Study of some elementary particle interactions with special reference to the use of stochastic methods

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Study of some elementary particle interactions with special reference to the use of stochastic methods

Show simple item record Thunga, R. 2009-07-03T12:28:42Z 2009-07-03T12:28:42Z 2009-07-03T12:28:42Z 1962
dc.description.abstract This thesis consists of three parts, viz., (i) Better understanding in the methods of Electrodynamic calculations, (ii) Dispersion theory -recent techniques and applications and (iii) Particle physics - phenomenological approach, an illustration. These three parts concerns with the study of processes which illustrate the nature and scope of the attempts with particular emphasis on a critical examination of the physical basis of quantum field theory. It is ascertained that the study of interactions within the frame work of perturbation expansions is not only conceptually satisfying but bears an elegant correspondence with the description of evolutionary stochastic processes. It leads to the derivation of the field operators. Hence the physical basis of quantum field theory is built on an interpretation of the integrand of the S-matrix. It is believed that this attempt is no ta mere reformulation of known axioms since it leads to a new proof of the equivalence between the Feynman and field theoretic formalisms. The Feynman propagator is decomposed into positive and negative energy parts; The relative contributions from the two parts to the matrix element for electrodynamic processes like Compton scattering and Bremmstrahlung are calculated. The equivalence between the energy denominators occuring in the field theoretic formalism and the method of the decomposed Feynman propagator are demonstrated respectively, by identifying the energy denominators in the two formalisms upto fourth order perturbation expansions. A generalized proof for the nth order also is given. Part II of this thesis consists of an application of the recent developments in dispersion theoretic techniques to various problems involving strange particles. en_US
dc.description.tableofcontents PART I Chapter I p.17 The physical Basis of Quantum Field Theory 1) Introductory Remarks 2)State vector in quantum field theory 3) Temporal evolution of the State vector in a collision process 4) Evaluation of the matrix element in Field theory. a) The old fashioned approach b) The covariant approach 5) Consequences of replacing particle by the corresponding antiparticle operator. Chapter II p.51 Density correlations in quantum mechanics 1) Introductory Remarks 2)Field theoretic formalism a) Electron Positron Field b) Electron field with negative energy states c) Density correlations in the presence of interaction Chapter III p.72 On the decomposition of the Feynman propagator and application to Compton Scattering 1) Introductory Remarks 2) Decompostion of the Feynman propagator and application to Compton Scattering. Chapter IV pg.87 Energy Denominators in the Feynman Formalism 1) Introductory Remarks 2) Calculations: Demonstration of the equivalence between Feynman and field theoretic formalisms for third and fourth order compton scattering. Chapter V p.108 Application of stochastic methods to quantum mechanics. 1) New proof for equivalence between Feynman and field theoretic formalisms 2) Symmetry operations on field variables 3) Interactions involving bound states Chapter VI p.122 Photon Electron correlations in double compton scattering 1) Introductory remarks 2)Calculations PART-II Chapter I p.133 On the Y* Resonance 1) Introductory Remarks 2) Effective range analysis for S wave Y-Pi Scattering 3) Effective range analysis for higher orbital angular momentum states. Chapter II p.152 Photo Production of PIONs on Hyperons 1) Introductory Remarks 2) Calculations Chapter III p.159 Dispersion Analysis of .... production in KN collisions 1) Introductory Remarks 2)Calculations 3) Partial wave analysis 4) Numerical Results Chapter IV p.173 Extrapolationmethods 1) Introductory Remarks 2) Calculations 3) a. Assuming final Y-pi interaction b.The effect of the relative Sigma ... Parity PART III Chapter I - P.186 On the possible resonances in ...p collisions 1) Introductory Remarks 2) Isotopic Spin analysis 3) Calculations 4) Angular Distribution Chapter II p.206 On the Spin of the ..... 1) Introductory Remarks 2) The strong interaction ......... 3) Double hyperfragment analysis 4) The Reaction 5) Decay of the .... Chapter III p.223 On some decay modes of K* resonances 1) Introductory Remarks 2) Calculation 3) a. Two particle decay modes b. Three particle decay modes Chapter IV p.233 Baryon-Baryon interactions Appendix p.238 en_US
dc.relation.isbasedon *Alvarez, L.W. et al.,UCRL, (1943) *Frazer, W.R., Fulco, J, Phys. Rev. v.117, 1609 (1960) *Karplus, R, Sommerfeld, C.M.,and Wichmann, E, Phys. Rev. v.114, 376, (1959) *Omnes, R, Nuovo Cimento, v.8, 316 (1958) *Kanazawa, A, Phys. Rev. v.123, 998 (1961) *Chew, G.F, Low, F.E. Phys. Rev. v.113, 1640(1959) *Ramakrishnan, A, Radha, T.K. and Thunga, R., Nucl. Phys. v.32, 517, (1962) *Dalitz, R.H. The. Phys. Summer School-Lectures, Bangalore(1961) *Rose, M.E. Elementary theory of Angular momentum: John Wiley and Sons, (1957) *Ramakrishnan, Alladi, Bhamathi,g, Indumathi,S Radha,T.K., and Thunga, R, Nuovo Cimento, v.22, 604 (1961) *Okun, L.B. et al., JETP v.7, 862 (1959) *Alston et al., Rochester Conference, 1960 *Baz, A. N., Okun, L.B., JETP v.8, 526. *Sakurai, J.J Phys. Rev. v.114, 1152 (1959) *Dalitz, R.H. Proc. Phys. Soc. v.65(A), 175 *Barshay, S, Phys. Rev. v.120, 265 (1960) *Bhamathi, G Indumathi, S, Radha, T.K and Thunga, R, Prog. of Th. phys. v.25, 870 (1961)* Okun et al., JETP, v.7, 862 (1958) *Gato, R, Phys. rev. v.109, 610 (1958) *Thunga, R and Radha, T.K. Proc. of the Cosmic Ray Symposium, Ahmedabad (1960)* en_US
dc.subject Quantum Field Theory en_US
dc.subject Quantum Mechanics en_US
dc.subject Compton Scattering en_US
dc.subject Feynman Formalism en_US
dc.subject Stochastic Methods en_US
dc.subject Dispersion Analysis en_US
dc.title Study of some elementary particle interactions with special reference to the use of stochastic methods en_US Ph.D en_US
dc.type.institution University of Madras en_US
dc.description.advisor Ramakrishnan, Alladi
dc.type.mainsub Physics

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