A C Sharma

A Textbook on Modern Quantum Mechanics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This book covers all topics taught to undergraduates and postgraduates all over the world under 3-courses namely, (a) elementary quantum mechanics, (b) intermediate quantum mechanics and (c) advance quantum mechanics. Newly, merged topics from contemporary physics and chemistry are included in the text and as solved examples.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 446
• Erscheinungstermin: 29. Juli 2021
• Englisch
• ISBN-13: 9781000421378
• Artikelnr.: 62057064

Autorenporträt

Dr. A C Sharma is retired professor of Physics from the faculty of science, The Maharaja sayajirao University of Baroda, Vadodara ( Gujarat) India. He has been head of physics department , Dean of faculty of science for two terms, chairman of board of studies in Physics, chairman of faculty board for two terms, and the coordinator of DST-FIST & PURSE programmes and UGC DSA programme. He has distinguished educational records, obtained his Ph.D. from Roorkee University ( now IIT Roorkee) and did his post-doctoral work at Cavendish laboratory , University of Cambridge ( U K). Professor Sharma has served as scientists pool officer at IIT Delhi , lecturer at Jiwaji University Gwalior and then reader & Professor at Maharaja Sayajirao University of Baroda. He has also been a visiting scientists to Chalmers University of Technology, Sweden , Peking University, Beijing, China, and Indian Institute of Science, Bangalore. He has 33 years' experience of teaching to undergraduate, post-graduate and graduate students and 40 years' research experience in different areas of theoretical condensed matter physics. Semiconductors, surfaces and interfaces, superconductivity and nanostructures have been the areas of his research interests. Many-particle theory and numerical computations have been his expertized techniques to perform the research work. He has published 125 research papers. Some of his research papers are published in Journals like Physical review, Journal of condensed Matter Physics, Journal of Applied Physics and solid state communications. Professor Sharma has successfully completed 8 major research projects, delivered 41 invited talks at national & international conferences, organised 6 conferences , and supervised 12 students for their Ph.D. degree. He has been awarded merit scholarship , University Bursary , College Gold Medal for undergraduate and post-graduate degrees, junior research fellowship , University of Cambridge's Post-doctoral research assistantship , Madhya Pradesh Council of Science & Technology's Fellowship for in service Young Scientists , theoretical physics Seminar circuit speakership, and Indian National Science Academy visiting fellowship . Professor Sharma is member of Indian Physics Association, and a Fellow of Gujarat Science academy. He has worked as subject expert to evaluate the graduate thesis and research proposals for serval universities / institutions.

Inhaltsangabe

Introduction to Quantum Mechanics. Black Body Radiations and Plank's
Hypothesis. Photoelectric effect. Bohr's atomic model and Hydrogen atom.
Compton scattering of photons. de Broglie hypothesis. Pauli Exclusion
Principle. Schrödinger Wave Equation. Born interpretation of Wave Function.
Heisenberg Uncertainty Principle. Davison and Germer Wave Properties of
Electrons. Bohr-Sommerfeld Quantization Condition. Correspondance
Principle. Heisenberg Quantum Mechanics. Dirac Theory of Quantum Mechanics.
Important Quantum Mechanical Parameters in SI Units. Solved Examples.
Exercises. Wave Mechanics and its simple applications. Schrödinger
equation. Bound States and Scattering States. Probability density,
probability current and Expectation Value. Simple applications of time
independent Schrödinger equation. Periodic Solids and their Band
Structures. Solved examples. Exercises. Matrix Formulation of Quantum
Mechanics. Definitions and their basic Algebra. Bra and Ket notations.
Vectors and Vector Space. Gram-Schmidt method for Orthogonalization of
Vectors. Schwarz Inequality. Linear Transformation of a Vectors. Inverse
matrix. Orthogonal matrix. Hermitian Matrix. Unitary Matrix.
Diagonalization of a Matrix. Cayley-Hamilton theorem. Bilinear, Quadratic
and Hermitian forms. Change of Basis in a Vector Space.
Infinite-dimensional Space. Hilbert Space. Statement of Assumptions of
Quantum Mechanics. General Uncertainty Principle. One Dimensional Harmonic
Oscillator. Solved Examples. Exercises. Transformations, Conservation Laws
and Symmetries. Translation in Space. Translation in Time. Rotation in
Space. Quantum Generalization of the Rotation Operator. Invariance and
Conservation Laws. Parity and Space Inversion. Time-Reversal Operator.
Solved Examples. Exercises. Angular momentum. Orbital Angular Momentum.
Eigenvalues of Angular Momentum. Eigenfunctions of Orbital Angular
Momentum. General Angular Momentum. Spin Angular Momentum. Addition of
Angular Momentum. Solved Examples. Exercises. Schrödinger Equation for
Central Potentials and 3D System. Motion in a Central Field. Energy
Eigenvalues of Hydrogen Atom. Wave functions of Hydrogen Atom. Radial
Probability Density. Free Particle Motion. Spherically Symmetric Potential
Well. Electron Confined to a 3D Box. Solved Examples. Exercises.
Approximation Methods. Perturbation Theory. Variation Method. The W K B
Approximation. Solved Examples. Exercises. Quantum Theory of Scattering.
Scattering Cross Section and Frame of Reference. Asymptotic Expansion and
Scattering Amplitude. Partial Wave Analysis. Expression for Phase Shift.
Integral Equation. Born Approximation. Transformation from Centre of Mass
Coordinate system to Laboratory Coordinate System. Solve Examples.
Exercises. Quantum Theory of Many Particle Systems. System of
Indistinguishable Particles. The Helium Atom. Systems of N-Electrons.
Solved Examples. Exercises. Time dependent Perturbations and Semi-classical
Treatment of Interaction of Field with Matter. Time-dependent Potentials.
Exactly Solvable Time-dependent Two-State Systems. Time-dependent
Perturbation Theory. Harmonic Perturbation. Constant Perturbation.
Semi-classical Treatment of Interaction of Field with Matter. Spontaneous
Emission and Einstein Coefficients. Dipole Selection Rules. Solve Examples.
Exercises. Relativistic Quantum Mechanics. Klein-Gordon Equation. The Dirac
Equation. Free Particle Solutions of Dirac Equation. Dirac Equation and the
Constants of Motion. Spin Magnetic moment ( Dirac Electron in
Electromagnetic Field). Spin-Orbit Interaction Energy. Solution of Dirac
Equation for Central Potential . Solved Examples. Exercises. Quantization
of Fields and Second Quantization. Quantization of Electromagnetic Field.
Second Quantization. System of Weakly Interacting Bosons. Free Electron
system. Solved Example. Exercises.