Course Details

Exam Registration32
Course StatusOngoing
Course TypeElective
LanguageEnglish
Duration12 weeks
CategoriesPhysics
Credit Points3
LevelUndergraduate
Start Date19 Jan 2026
End Date10 Apr 2026
Enrollment Ends02 Feb 2026
Exam Registration Ends20 Feb 2026
Exam Date17 Apr 2026 IST
NCrF Level4.5 — 8.0

Foundations of Quantum Theory: A Relativistic Approach

Quantum Theory (QT) stands as one of the most empirically successful frameworks in modern physics, yet its foundational interpretation remains a subject of profound debate and inquiry. The core challenge lies in disentangling the theory's ontological reality from our epistemological access to it—a distinction more elusive than in our understanding of spacetime. When this already enigmatic quantum world is forced to reconcile with the principles of Einstein's relativity, a new layer of fascinating complexity and subtlety emerges.

This advanced course, Foundations of Quantum Theory: A Relativistic Approach, offered by IISER Mohali, delves into this intricate intersection. Guided by expert instructor Prof. Kinjalk Lochan, the 12-week program is designed to build a rigorous understanding of quantum concepts like entanglement and superposition within the demanding framework of relativistic physics.

Course Instructor: Prof. Kinjalk Lochan

Prof. Kinjalk Lochan is an Associate Professor in the Department of Physical Sciences at IISER Mohali. With a strong academic pedigree, he earned his Ph.D. in Physics from the prestigious Tata Institute of Fundamental Research (TIFR), Mumbai. His research journey includes postdoctoral fellowships at IUCAA Pune and IISER Trivandrum, followed by a DST INSPIRE Faculty position at IISER Mohali before his current appointment in 2018.

His research expertise is centered on the deepest questions in theoretical physics:

  • Quantum Gravity
  • Black Holes and the Early Universe
  • Quantum Field Theory on Curved Spacetime
  • Foundations of Quantum Physics

This background makes him uniquely qualified to guide students through the nuanced marriage of quantum mechanics and relativity.

About the Course

This course addresses the heart of modern theoretical physics. It moves beyond standard quantum mechanics to explore how core quantum principles—such as non-local correlations (entanglement) and the indistinguishability of quantum states—behave and are interpreted when constrained by the laws of special relativity. Students will engage with the quantization of fields, the nature of the quantum vacuum, and how quantum information concepts translate into relativistic scenarios.

Intended Audience: M.Sc. (1st and 2nd year) and Ph.D. students in Physics.
Prerequisites: A B.Sc. in Physics and a solid, working grasp of quantum mechanics.

Detailed 12-Week Course Layout

WeekTopics Covered
Week 1Review of Perturbation from time-independent classical fields
Week 2Review of Perturbations from time-dependent classical fields
Week 3Review of Special Relativity
Week 4Quantization of Relativistic particles: Klein-Gordon and Dirac equations
Week 5Quantum theory of fields: Scalar field quantization, propagators, and vacuum fluctuations
Week 6Quantum theory of fields: Dirac field quantization
Week 7Quantum theory of Light: coherent and thermal states
Week 8Atom-Field interaction, Introduction to the Unruh-deWitt detector
Week 9Monopole and Dipole coupling models
Week 10Spontaneous and Stimulated emissions
Week 11Relativistic shifts in atomic transition lines
Week 12Relativistic Lindblad theorem and Entanglement generation through atom-field interaction

Key Learning Outcomes

By the end of this course, participants will have developed:

  • A firm understanding of the transition from relativistic particle mechanics to Quantum Field Theory (QFT).
  • Practical knowledge of field quantization for both scalar (Klein-Gordon) and spinor (Dirac) fields.
  • Insight into fundamental quantum optical concepts like coherent states and their relativistic considerations.
  • An understanding of open quantum systems in relativistic settings, using tools like the Unruh-deWitt detector.
  • Appreciation for how relativity influences quantum information protocols and the generation of entanglement.

Recommended Textbooks & Resources

The course draws from a selection of authoritative texts and seminal papers:

  • J.J. Sakurai: Advanced Quantum Mechanics (Pearson)
  • Ulf Leonhardt: Essential Quantum Optics (Cambridge University Press)
  • Marco Lanzagorta: Quantum Information in Gravitational Fields (IOP ebooks)
  • E. Martin-Martinez: Relativistic Quantum Information (arXiv:1106.0280)

This course represents a unique opportunity for advanced physics students to grapple with the frontiers of our understanding of reality, where the quantum meets the relativistic. Under the guidance of Prof. Lochan, students will build the sophisticated toolkit required to contribute to ongoing research in quantum foundations, quantum field theory, and relativistic quantum information.

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