Advanced Quantum Mechanics With Applications

Course Duration : 8 weeks

Amaresh Dala

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(0) 11 Students
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What you will learn

  • Density Matrix formalism

  • Angular momentum

The Course deals with the prerequisite material for studying advanced level research in various fields of Physics, Applied Physics and Electrical Engineering. The course begins with an introduction to advanced topics, such as, the Density Matrix formalism and its applications to quantum optics. Hence angular momentum is introduced to discuss nuclear magnetic resonance. Hence basics of quantum information theory is brought into consideration with a view to explain quantum information algorithms. Quantum dynamics is hence studied with a view to understand quantum optics for driven systems. A glossary of the approximate methods is described with a few examples. Finally, basics of quantum transport is presented to understand the conductance properties of semiconductors.

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Lec 1: Qunatum Harmonic Oscillator, Creation and annihilation Operators
Preview 37:03
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Lec 2: Coherent States and their Properties
Preview 43:46
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Lec 3: Applications of Coherent States, squeezed states
Preview 43:40
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Lec 4: Symmetries and Conservational Principles in Quantum Mechanics
Preview 32:03

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Rotation Operator and Invariance of Angular Momentum, Parity
Preview 31:29
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Spherically Symmetric System and Applications to quantum dots
Preview 38:55
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Spin Angular Momentum, Addition of Angular Momentum, Clebsch gordan coefficients
Preview 49:04
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Magnetic Hamiltonian, Heisenberg Model
Preview 38:05

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Nuclear Magnetic Resonance (NMR)
Preview 19:57
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Applications of NMR, time evolution of Magnetic Moments
Preview 42:29
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Introduction to Quantum Computing
Preview 34:51
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Qubits,EPR Paradox
Preview 44:54

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Quantum Entanglement (QE)
Preview 22:48
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Teleportation, Quantum Teleportation for one spin
Preview 36:53
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Entangled state for two spins
Preview 56:26
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Quantum Gates, Walsh Hadamard Transportation, No cloning theorem
Preview 34:38

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Perturbation Theory
Preview 51:38
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Stark Effect: First order in ground state
Preview 58:55
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Stark Effect: Second order in ground state
Preview 42:52

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Variational method, Variation of constants, Upper bound on ground state energy
Preview 36:21
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Application of Variational method,Hydrogen,Helium atom,Comparison with perturbation theory
Preview 45:40
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WKB Approximation, Bohr Sommerfeld quantization condition
Preview 72:20

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Summary of Approximation methods, Time dependent Perturbation Theory
Preview 50:33
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Time dependent Perturbation Theory, Fermi's Golden rule, Einstein's A and B coefficients
Preview 60:17
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Scattering Theory
Preview 63:04
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Linear Response Theory: Derivation of Kubo formula
Preview 50:30
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Quantum Dynamics: Two level system
Preview 31:15
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Examples
Preview 52:01
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Interaction of Radiation with matter, Landau levels
Preview 42:08

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Live Session 25-08-2021
Preview 51:15
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Live Session 09-08-2021
Preview 60:00
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Meet Your Instructor
@VTU COE
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Instructor
3.3 Rating
28622 Students
906 Courses
About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

Amaresh Dala
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Instructor
0.0 Rating
2 Students
9 Courses
About Instructor

Prof. Amaresh Dalal is currently an Associate Professor in the Department of Mechanical Engineering of the Indian Institute of Technology Guwahati. He received his Ph.D. degree from Indian Institute of Technology Kanpur in 2009 and he was Post-doctoral Research Associate at Purdue University from Sep 2008 - Dec 2009. He has research interests in the area of Computational Fluid Dynamics and Heat Transfer, Finite Volume Methods and Unstructured Grid Techniques, Multiphase Flows. He received Prof KN Seetharamu Medal and Prize for the Best Young Researcher in Heat Transfer-2017 from Indian Society of Heat and Mass Transfer.

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Free

  • Course Duration
    25 h 43 m 16 s
  • Course Level
    Intermediate
  • Student Enrolled
    11
  • Language
    English
This Course Includes
  • 25 h 43 m 16 s Video Lectures
  • 2 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion