1. Course Instructor: 

Prerequisites of QM: 

University math course on Fourier Series and Fourier Transform (or Signal course for EEE students), University Calculus, University Algebra.   

Course Participants : Click Here to See 

Course Description:

This Quantum mechanics course provides an introduction to Schrodinger’s equation, state vectors and their applications to engineering problems. Topics include:

Part-1: Mainly Wave Mechanics Picture

The deep concept (& physical applications) of Fourier series & Fourier transform, Physical meaning of Vector/differential operators (i.e. Laplacian, Gradient, divergence etc), wave equations and their physical meaning, Bohr atomic model, wave-particle duality & probability concept, Wave Function for Particles (concept of wave packet and dispersive wave packets), the Time-dependent & independent Schrödinger Equations and their difference with classical wave equations [and its possible root of derivation: Hamilton-Jacobi equation or Least action pointed by Richard Feynman], Bound & free electrons and their connection with Fourier series & Fourier transform, Meaning of superposition and reason of quantization (normal mode concept) in quantum mechanics, Ensemble & Probability concept along with expectation value and standard deviation, Physics of Uncertainty Principle and associated detail mathematics without Matrix mechanics, The quantum entities and the basic pillars of quantum mechanics, Detail discussion on the measurement theory of quantum mechanics without using Matrix mechanics (Several selected maths will be solved for this part by properly explaining the physical meaning of each part of the calculation), Postulates of quantum mechanics without using Matrix mechanics, and the difference of quantum mechanical postulates with the postulates of classical mechanics.

Part-2: Mainly Matrix Mechanics Picture 

The origin of Matrix mechanics formulation [i.e. uncertainty principle] and its connection to quantum mechanics, Photon polarization and state vector formalism (physical approach to BRA & KET), the free Particle-Box Quantization, Electron facing potentials & tunnelling problems: solving them using both the wave mechanics and Matrix mechanics (I.e. real semiconductor cases), Eigenvalue-Eigenfunction approach (& operator mechanics: how & why) & Matrix formulation, Postulates of quantum mechanics and their detail description using Matrix mechanics, Detail calculations on quantum measurement theory using Matrix mechanics & their physical interpretations (Several selected maths will be solved for this part by properly explaining the physical meaning of each part of the calculation), Heisenberg equation and Ehrenfest theorem [connection of quantum mechanics with classical mechanics], Electron spin, Wave function of Multiple quantum objects, EPR paradox and Einstein's actual journal, simple concept of Bell inequality, quantum entanglement, Interpretations of quantum mechanics OR few selected applications of quantum mechanics: in device theory or in quantum computing or in quantum radar.