• ISBN13: 9788126905386
• Binding: Paperback
• Subject: Physics and Astronomy
• Publisher: Atlantic Publishers & Distributors (P) Ltd
• Publisher Imprint: Atlantic
• Publication Date: June 20, 2005
• Pages: 192
• Original Price: INR 125.0
• Language: English
• Edition: N/A
• Item Weight: 110 grams
• BISAC Subject(s): General

The book Elementary Theory of Scattering contains Vector representation, Linear operator, Matrix representation, Schrodinger picture, Heisenberg picture, Interaction picture, Hilbert space, and their applications in theory of scattering. All standard integrals and functions like Bessel’s function, Green’s function and Fourier series have been properly presented to illustrate the theory of scattering. Transition-matrix, S-matrix and Modified Born-Approximation are included so that scattering theory can be conveniently comprehended and extended as per the need of the interactions. It is compatible with the courses of studies of honours degree and postgraduate levels.

Dr. Praveen Kumar Verma, a gold medallist in M.Sc. from Patna University, is a renowned Reader in University Department of Physics, B.R.A.B.U., Muzaffarpur. Devoutly diligent, the author is an educationist with a twenty-five year long teaching experience, amassing, propagating and propounding knowledge in Physics. This is inclusive of an intensive 18-year experience of especially working with Quantum Mechanics at postgraduate classes. A member of I.A.C.S. Jadavpur, Kolkata, his research subject has been “Positron-Atom Scattering.” His work has been published in reputed international journals. Presently a Counsellor at IGNOU, he also heads works and does research extensively on the UGC-project, “Positron-Atom Collision.”

• 1. Scattering
• 1. Introduction
• 2. Partial Wave Method and Its Applications,
• Optical Theorem
• 2.1 Partial Wave Method and Phase Shift
• 2.2 Optical Theorem
• 2.3 Phase Shift
• 2.4 Scattering by Square Potential well
• 2.5 Scattering by Hard Sphere
• 3. Fourier Series, Parseval’s Formula and
• Green's Function
• 3.1 Fourier Series
• 3.2 Parseval’s Formula
• 3.3 Green’s Function
• 4. Born Approximation and Its Applications,
• Coulomb Field, Exchange Effect,
• Bessel’s Function
• 4.1 Introduction
• 4.2 Quantum Mechanical Description
• 4.3 Limits of Applicability
• 4.4 Applications
• 4.5 Scattering by Coulomb Field
• 4.6 Exchange Effect in Elastic Scattering of Identical Particles
• 4.7 Centre of Mass Coordinate System and Laboratory Coordinate System
• 4.8 Bessel’s Function
• 4.9 Scattering of Particle by Target-Particles and Target-Atom
• 4.10 Coulomb Potential
• 4.11 Scattering of Particle by Target-Atom
• 4.12 Some Important Integrals
• 5. Vector Representation, Hilbert Space,
• Schrodinger Picture, Heisenberg Picture and Interaction Picture
• 5.1 Vector Representation of States
• Orthonormal set of bra or ket vectors
• Schwartz inequality
• Hibert space
• 5.2 Linear Operator
• Matrix representation of an operator
• Self-adjoint operator
• 5.3 Eigen Value Equation
• Hermitian operator
• Projection operator
• Commuting observables
• 5.4 Change of Basis
• 5.5 Continuous Eigen Vectors, Ket Vectors and Wave Functions
• 5.6 Temporal Changes of State Vectors
• Schrodinger picture
• Heisenberg picture
• Interaction picture
• 5.7 Retarded Propagator
• 6. Time-dependent Perturbation Theory, S-matrix and Modified Born Approximation
• 6.1 Time-dependent Perturbation Theory and Scattering Problem
• 6.2 Scattering of Free Particle by Potential V(r)
• 6.3 Transition Matrix and Scattering
• 6.4 Scattering and S-matrix
• 6.5 Modified Born Approximation