Syllabus
Unit 1
Cold Equation of State below Neutron Dripline
Learning Objectives
Learn and analyze the equation of state of a completely degenerate ideal Fermi gas.
Understand the electrostatic corrections to the equation of state.
Learn and analyze the beta-equilibrium between relativistic electrons and nuclei.
Thermodynamic Preliminaries, Kinetic Theory, Equation of State of a Completely Degenerate, Ideal Fermi Gas, Electrostatic Corrections to the Equation of State, Inverse β decay: The Ideal, Cold n-p-e Gas, Beta-Equilibrium Between Relativistic Electrons and Nuclei: The Harrison-Wheeler Equation of State.
Unit 2
White Dwarf
Learning Objectives
Learn and understands the onset of degeneracy and polytropes.
Understand and analyze the Chandrasekhar mass limit for white dwarfs.
Understand the structure of the surface layers and white dwarf cooling.
The Onset of Degeneracy, Polytropes, The Chandrasekhar Limit, Improvements to the Chandrasekhar White Dwarf Models, Comparison with Observations: Masses and Radii, Structure of the Surface Layers, Elementary Treatment of White Dwarf Cooling, Crystallization and the Melting Temperature, Heat Capacity of a Coulomb Lattice, Refined Treatment of White Dwarf Cooling, Comparison with Observations.
Unit 3
Cold Equation of State above Neutron Dripline
Learning Objectives
Learn and analyze the Baym-Bethe-Pethick equation of state and basic properties of nucleon-nucleon interactions.
Understand the electrostatic corrections to the equation of state.
Learn and understand the Δ resonance, pion condensation and quark matter.
The Baym-Bethe-Pethick Equation of State, The Nucleon-Nucleon Interaction, Saturation of Nuclear Forces, Dependence of the NN Potential on the Nucleon Separation, The Yukawa Potential, The Δ Resonance, Pion Condensation, Ultrahigh Densities, Quark Matter.
Unit 4
Neutron Stars
Learning Objectives
Learn and understands the observational tools to detect neutron stars.
Understand and analyze the superfluidity in neutron stars, pulsar glitches and hadron superfluidity.
Understand the weak interaction, free neutron decay and modified URCA process.
Ideal Gas Equation of State in the Nuclear Domain, Observations of Neutron Star Masses,
The Maximum Mass, The Effects of Rotation, Observed Properties of Pulsars, The Dispersion Measure, The Magnetic Dipole Model for Pulsars, Superfluidity in Neutron Stars, Pulsar Glitches and Hadron Superfluidity, Neutrino Reactions in Neutron Stars, Weak Interaction Theory, Free Neutron Decay, The Modified URCA Rate, Other Reaction Rates.
Unit 5
Black Holes
Learning Objectives
Learn and understands the basic properties of black holes.
Understand and analyze the Schwanschild geometry and nonsingularity of the Schwanschild radius.
Understand the Kerr black holes, area theorem and black hole evaporation.
History of the Black Hole, Schwanschild Black Holes, Test Particle Motion, Massless Particle Orbits in the Schwanschild Geometry, Nonsingularity of the Schwanschild Radius, Kerr Black Holes, The Area Theorem and Black Hole Evaporation.
Objectives & Outcomes
Prerequisites
Knowledge of basic and advanced astrophysics.
Course Objectives
The objective of the course is to gain knowledge about low and high energy cold dense matter physics and their application to understand the formation and basic properties of compact stars.
Course Outcomes: After completion this course student able to
CO1: Learn the key ideas and concepts of cold equation of state below neutron dripline.
CO2: Analyze and solve problems related to white dwarf.
CO3: Learn the key ideas and concepts of cold equation of state above neutron dripline.
CO4: Analyze and solve problems related to neutron stars.
CO5: Analyze and solve problems related to black holes.
Skills: Improvement of student’s problem solving capability related to compact stars 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 |
3 |
– |
– |
| CO3 |
3 |
3 |
– |
– |
– |
3 |
2 |
– |
– |
| CO4 |
3 |
3 |
– |
– |
– |
3 |
3 |
– |
– |
| CO5 |
3 |
3 |
– |
– |
– |
3 |
3 |
– |
– |
Evaluation pattern
| Assessment |
Internal |
External Semester |
| Periodical 1 (P1) |
15 |
|
| Periodical 2 (P2) |
15 |
|
| *Continuous Assessment (CA) |
20 |
|
| End Semester |
|
50 |
Justification for CO-PO Mapping
| Mapping |
Justification |
Affinity level |
| CO1-PO1 |
CO1 is related to understand the key ideas and concepts of particle dynamics. 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 particle dynamics which is important to solve the problems related to particle physics. Hence the affinity level between CO1 and PO2 is mentioned as 3. |
3 |
| CO2-PO1 |
CO2 is related to symmetries and their application in particle physics. Hence the affinity level is 3. |
3 |
| CO2-PO2 |
As CO2 is related to concepts of symmetries in particle physics. 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 Feynman calculus. Hence CO3 has maximum affinity 3 when mapped with PO1. |
3 |
| CO3-PSO2 |
CO3 is related to the Feynman calulus. 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. |
2 |
| CO4-PO1 |
CO4 is related to analyze and solve problems related to electrodynamics of quarks and hadrons. 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 electrodynamics of quarks and hadrons. Since PO2 is related to the development of analytical skills of students and maximum affinity level of 3 is given for CO4-PO2 mapping. |
3 |
| CO5-PO1 |
CO5 is related to analyze and solve problems related to weak interactions. 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. |
2 |
| 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. |
1 |
| CO1-PSO1 |
PSO1 is related to fundamental problems and their solutions in scientific way and CO1 is to learn about particle dynamics which is very essential to solve problems in scientific way. Hence the affinity level is 3. |
3 |
| CO1-PSO2 |
CO1 deals with knowledge and concepts of particle dynamics. Hence CO1 partially map with PSO2 and an affinity level of 2 is assigned. |
2 |
| CO2-PSO1 |
CO2 is related to understanding of the symmetries in particle physics which map completely with PSO1. So the affinity level is 3. |
3 |
| CO2-PSO2 |
Since PSO2 is related to improve the analytical skills which maps completely with CO2. Hence the affinity level between CO2 and PSO2 is 3. |
3 |
| CO3-PSO1 |
Since CO3 is related to analyze Feynman calculus which is completely mapped with PSO1. Hence the affinity level 3. |
3 |
| CO3-PSO2 |
The affinity level between CO3 and PSO2 is 3 since CO3 deals with applications of Feynman calculus to solve problems which eventually improves the analytical skills of students. |
1 |
| CO4-PSO1 |
CO4 is related to analyze and solve problems related to electrodynamics of quarks and hadrons. 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 analyze and solve problems related to electrodynamics of quarks and hadrons. |
3 |
| CO5-PSO1 |
CO5 is related to analyze and solve problems related to weak interactions and hence CO5-PSO1 mapping has the affinity 3. PSO1 is related to look fundamental problems and scientific solutions. |
2 |
| CO5-PSO2 |
The affinity level between CO5 and PSO2 is 3 since CO5 deals with analyzing and solve problems related to weak interactions. |
3 |
