MAJOR-VII: PHYS7011: Advanced Quantum Mechanics
(Credits: Theory-04, Practicals-02)
F.M. = 75 (Theory – 40, Practical – 20, Internal Assessment – 15)
Internal Assessment [Class Attendance (Theory) – 05, Theory (Class Test/ Assignment/
Tutorial) – 05, Practical (Sessional Viva-voce) - 05]
COURSE OBJECTIVE: The aim of this course is to provide an in-depth understanding of the various topics of quantum mechanics and available mathematical techniques to deal with the physical system that are important prerequisites for physics courses.
Spherically Symmetrical Systems:
Identical Particles and Spin: [Slides] [Detailed Notes] [Poster]
Angular Momentum and their Properties: [Notes] [Poster]
The Independent Quantum Approximation Methods:
Course Learning Outcomes: On successful completion of this course the student should know: 1. Revise the knowledge of advanced Quantum Mechanics. 2. Learn different Quantum Dynamics and apply them to solve standard Quantum mechanical problems. 3. Understand Invariance Principle and Conservation laws for linear momentum, angular momentum, energy and parity.
Scilab Notes and Codes for
PHYS-7011: Advanced Quantum Mechanics: Practical
Q1: [Click Here for Notes/Codes]
Q3. Notes [Codes]
Determine the ground state and the first excited state energy of the hydrogen atom numerically. Plot the radial probability density 𝑃(𝑟) = 𝑟2|𝑅(𝑟)|2 against the radial distance 𝑟.
Q4. Codes and Notes
Use numerical integration to find the optimal variational parameter 𝛼 that minimizes the energy of a 1D quantum harmonic oscillator, and compare it with the exact analytical zero-point energy. Plot the Expectation Value of Energy (𝐸⟩versus the variational parameter 𝛼, highlighting the distinct minimum point.
Q5. Codes and Notes
Q6. Codes and Notes
Q7. Codes and Notes
Q8. Codes and Notes
Q9. Codes and Notes
Q10. Codes and Notes