| Course Name | Relativistic Quantum Mechanics |
| Course Code | 22PHY531 |
| Semester | 8 |
| Credits | 3 |
Classical Fields
Learning Objectives
Understand the concept of particle and fields and their relation with discrete and mechanical systems.
Understand the classical scalar and Maxwell fields.
Learn and analyze the vector potential in quantum mechanics.
Particle and Fields, Discrete and Mechanical system, Classical scalar fields, Classical Maxwell fields, Vector potential in quantum mechanics.
The Quantum Theory of Radiation
Learning Objectives
Learn about classical radiation field and quantized radiation field.
Learn the creation, annihilation and number operators.
Understand and analyze the emission and absorption of photons by atoms.
Classical radiation field, Creation, annihilation, and number operators, Quantized radiation field, Emission and absorption of photons by atoms.
Applications of Quantum Theory of Radiation
Learning Objectives
Learn and understand Rayleigh scattering, Thompson scattering and Raman effect.
Understand the radiation damping, resonance fluorescence, dispersion relations and causality.
Analyze the self-energy of a bound electron and Lamb shift.
Rayleigh scattering, Thompson scattering and Raman effect, Radiation damping and resonance fluorescence, Dispersion relations and causality, The self-energy of a bound electron; Lamb shift.
Relativistic Quantum Mechanics for spin 1/2 particles
Learning Objectives
Learn and understand the Dirac equation and relativistic covariance.
Understand the Dirac operators and negative energy solutions.
Analyze the quantization of Dirac field as well as weak interaction and non-conservation of parity.
Probability conservation, Dirac equation, Relativistic covariance, Bilinear covariants, Dirac operators in Heisenberg representation, Ztiterbewegung; Negative energy solutions, The hydrogen atom, Hole theory and charge conjugation, Qunatization of Dirac field, Weak interaction and non-conservation of parity.
Covariant Perturbation Theory
Learning Objectives
Learn and understand the S-matrix expansion in the interaction representation.
Understand the electron propagator and Feynman’s space-time approach to the electron propagator.
Learn and analyze the one-meson exchange interactions and radiative corrections.
Natural units and dimensions, S-matrix expansion in the interaction representation, First-order processes; Mott scattering and hyperon decay, Two-photon annihilation and Compton scattering; the electron propagator, Feynman’s space-time approach to the electron propagator, Moller scattering and the photon propagator; one-meson exchange interactions, Mass and charge renormalization; radiative corrections.
Prerequisites
Knowledge of basic quantum mechanics and advanced mathematical physics.
Course Objectives
The objective of the course is to learn relativistic quantum mechanics and its applications along with covariant perturbation theory.
Course Outcomes: After completion this course student able to
CO1: Learn the key ideas and concepts of classical fields.
CO2: Learn the key ideas and concepts of quantum theory of radiation.
CO3: Analyze and solve problems related to quantum theory of radiation.
CO4: Learn and solve problems for spin half particles.
CO5: Analyze and solve problems related to covariant perturbation theory.
Skills: Improvement of student’s problem solving capability related to relativistic quantum mechanics through assignments and quizzes.
CO-PO Mapping
| PO1 | PO2 | PO3 | PO4 | PO5 | PSO1 | PSO2 | PSO3 | PSO4 | |
| CO1 | 3 | 3 | 3 | 2 | |||||
| CO2 | 3 | 3 | 3 | 2 | |||||
| CO3 | 3 | 3 | 2 | 3 | |||||
| CO4 | 3 | 3 | 3 | 3 | |||||
| CO5 | 3 | 3 | 3 | 3 |
Text Book:
Reference Books:
| Assessment | Internal | External Semester |
| Periodical 1 (P1) | 15 | |
| Periodical 2 (P2) | 15 | |
| *Continuous Assessment (CA) | 20 | |
| End Semester | 50 |
*CA – Can be Quizzes, Assignments, Projects, and Reports.
Justification for CO-PO Mapping
| Mapping | Justification | Affinity level |
| CO1-PO1 | CO1 is related to understand the key ideas and concepts of classical fields. This improves student’s knowledge in classical fields and hence the affinity level is 3. | 2 |
| CO1-PO2 | Since PO2 is related to problem analysis and CO1 is about concepts of classical fields which is important to solve the problems related to classical fields. Hence the affinity level between CO1 and PO2 is mentioned as 3. | 3 |
| CO2-PO1 | CO2 is related to ideas and concepts of quantum theory of radiation. Hence the affinity level is 3. | 3 |
| CO2-PO2 | As CO2 is related to concepts of quantum theory of radiation. Since PO2 is related to developing analytical skills, the affinity level between them is 3. | 3 |
| CO3-PO1 | Since PO1 is related to strong fundamentals of physics and math which is essential to solve and analyze the problems related to quantum theory of radiation. Hence CO3 has maximum affinity 3 when mapped with PO1. | 3 |
| CO3-PO2 | CO3 is related to the applications of quantum theory of radiation. As PO2 is related to improve critical thinking and analytical skills. So, CO3 has maximum affinity to PO2 and hence given an affinity level of 3. | 3 |
| CO3-PSO2 | Students improve their analytical skills in finding solutions to the problems with respect to superconducting phenomena. PO2 is related to developing the analytical skills involving fundamentals of basic sciences. So, the CO2- PO2 mapping is given an affinity level of 3. | 3 |
| CO4-PO1 | CO4 is related to learn and solve problems for spin half particles. As PO1 is related to improving knowledge of physics fundamentals, CO4 has maximum affinity of 3 with PO1. | 3 |
| CO4-PO2 | CO4 is for solving problems related to spin half particles. Since PO2 is related to the development of analytical skills of students and maximum affinity level of 3 is given for CO4-PO2 mapping. | 1 |
| CO5-PO1 | CO5 is related to analyze and solve problems related to covariant perturbation theory. Since PO1 is related to improving student’s knowledge in physics and math. Hence maximum affinity level of 3 is given for CO5-PO1 mapping. | 3 |
| CO5-PO2 | CO5 improves the analytical skills of students. As PO2 is related to improving analytical skills, CO5 has maximum affinity with PO5 and hence given an affinity level of 3. | 3 |
| CO1-PSO1 | PSO1 is related to fundamental problems and their solutions in scientific way and CO1 is to learn about classical fields which is very essential to solve problems in scientific way. Hence the affinity level is 3. | 3 |
| CO1-PSO2 | CO1 deals with knowledge and tools of classical fields. Hence CO1 partially map with PSO2 and an affinity level of 2 is assigned. | 2 |
| CO2-PSO1 | PSO1 is related to fundamental problems and their solutions in scientific way and CO1 is to learn about classical fields which is very essential to solve problems in scientific way. Hence the affinity level is 3. | 3 |
| CO2-PSO2 | Since PSO2 is related to improve the analytical skills which maps partially with CO2. Hence the affinity level between CO2 and PSO2 is 2. | 2 |
| CO3-PSO1 | Since CO3 is related to application of quantum theory of radiation which is partially mapped with PSO1. Hence the affinity level 2. | 3 |
| CO3-PSO2 | The affinity level between CO3 and PSO2 is 3 since CO3 deals with applications of quantum theory of radiation to solve problems which eventually improves the analytical skills of students. | 3 |
| CO4-PSO1 | CO4 is related to learn and solve problems for spin half particles. Hence CO4-PSO1 mapping has the affinity level 3. | 3 |
| CO4-PSO2 | The affinity level between CO4 and PSO2 is 3 since the CO4 deals with understanding and solving problems related to spin half particles. | 3 |
| CO5-PSO1 | CO5 is related to analyze and solve problems related to covariant perturbation theory and hence CO5-PSO1 mapping has the affinity 3. PSO1 is related to look fundamental problems and scientific solutions. | 3 |
| CO5-PSO2 | The affinity level between CO5 and PSO2 is 3 since CO5 deals with analyzing and solve problems related to covariant perturbation theory. | 3 |
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