November 09 - 10, 2023
Pre-seminar Workshop on the Foundations of Quantum Physics
November 07 - 08, 2023
organized by
Department of Physics, Government College Malappuram, Munduparamba P.O., Malappuram, Kerala
Sponsored by: DCE Thiruvananthapuram, Kerala.
Dr. Naveen Surendran, IIST Thiruvananthapuram
Topics: Introduction to quantum mechanics
We will begin by providing an introduction to the fundamental principles of quantum mechanics, along with an overview of the necessary mathematical tools. Then, we will explore some straightforward applications, such as a particle in one dimension and a two-level system. We will also briefly delve into the significance of symmetry in quantum mechanics.
Dr. Harikrishnan G, Government College Madappally
Topics:
Session-5: Commutation rules of angular momentum operators: It is analysed how the fundamental commutation relations of angular momentum arise from the role of angular momentum as the generator of infinitesimal rotations.
Session 6: Eigenvalues and Eigenstates of angular momentum operators : Introducing the ladder operators and using the commutation rules of angular momentum operators, the eigenvalues of J^2 and Jz are calculated. The matrix elements of J^2 and Jz are established.
Session 7: Addition of angular momenta: Using the Clebsch-Gordan coefficients, addition of angular momenta are discussed. A few examples are worked out.
Dr. Prasad V. V., CUSAT Kochi
Topics:
The density matrix formalism for describing the quantum systems and their application in quantum statistical mechanics, Some examples. Quantum information-the von Neuman entropy and its comparison with classical entropy.
Dr. Uma Divakaran, IIT Palakkad
Title: Interacting spin systems and its applications
Abstract:
I shall discuss on how and when the total Hamiltonian of the system can be written using the spin of the Hamiltonian followed by what are the properties of such a spin Hamiltonian, which is also interacting. I shall describe some features of such Hamiltonians like quantum phase transitions. Towards the end, I shall present some of the applications of spin Hamiltonians in quantum information and computation.
Dr. P. N. Bala Subramaniyan, NIT Calicut
Title: "Feynman diagrams" in quantum mechanics
Abstract:
We will motivate the use of diagrammatic techniques in a simple setting of moments of normal distributions, and then discuss the applications of these in evaluations of the familiar perturbation theory in quantum mechanics. Along the way, we will discuss ideas that are widely used in quantum field theory, like asymptotic states, Wick's theorem, Feynman diagrams, etc. in a more convenient setting of quantum mechanics.
Dr. Mithun Thudiyangal, DAMP, MAHE, Manipal
Title: Universal topological defects statistics
Abstract:
Topological defects are ubiquitous in nature. Crossing a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We consider the formation of defects, namely vortices, in Bose-Einstein condensate (BEC) that is cooled in finite time. We show that the vortex counting statistics follow a universal binomial distribution centered at the Kibble-Zurek prediction. As a result, all cumulants of the vortex number distribution exhibit a universal power-law scaling with the quench time. We further characterize the spatial statistics and show that the vortex spacing distribution is universal and well defined by a Poisson point process with KZM density. These results unveil universal signatures in the critical dynamics beyond the scope of the celebrated KZM.
Dr. Jijo P. U., Government College Kasaragod
Title: Research methodology and academic writing for physical sciences
Abstract:
In today's rapidly evolving scientific landscape, artificial intelligence (AI) tools are revolutionizing the traditional methods of conducting research and documenting findings in the physical sciences. The presentation explores the contemporary practices of physics research, elucidating how AI augments these processes for enhanced accuracy and efficiency. Moreover, the discourse provides insights into modern writing styles that not only reflect the rigour and precision customary to the physical sciences but also harness the capabilities of AI to present findings in a more comprehensive and impactful manner. This session is an essential guide for modern-day physicists aiming to stay at the forefront of research and publication in an AI-augmented world.
