Week 03-04

Learning Outcomes:

  • The mathematical formalism is always required to express physical ideas. In these lessons, We deal here with the mathematical machinery needed to study quantum mechanics.
  • Although this chapter is mathematical in scope, no attempt is made to be mathematically complete or rigorous. We limit ourselves to those practical issues that are relevant to the formalism of quantum mechanics

Lesson Plan:

Lecture 01: Introduction to the Hilbert space and its linkage with Quantum Mechanical states of the system.

Lecture 02: Detailed discussion on Dirac Notations i.e:

  • Bra

  • Ket

  • Inner Product

Lecture 03: Discussion on Operators and Commutation Relations.

Lecture 04: Learning Heisenberg Matrix Mechanics

Lecture 05: Problems

Lecture 06: Representation in a discrete and continuous basis

 

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quantum-mechanics-demystified.pdf (9.64 MB )