Learn about the Heisenberg uncertainty principle, quantum dynamics and two-state systems including applications to NMR and masers.
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This physics course covers Heisenberg’s uncertainty principle and the concept of compatible operators. You will also learn about the Schrödinger and Heisenberg pictures of quantum mechanics and the coherent and squeezed states of the harmonic oscillator. The course concludes with two state systems and their applications to NMR and masers.
This is the second of three courses offering a sophisticated view of quantum mechanics and its proper mathematical foundation.
Part 1: Wave Mechanics
Part 2: Quantum Dynamics
Part 3: Entanglement and Angular Momentum
To understand the material in this course you should have taken Mastering Quantum Mechanics Part 1: Wave Mechanics.
Completing the 3-part Quantum Mechanics series will give you the necessary foundation to pursue advanced study or research at the graduate level in areas related to quantum mechanics
What you'll learn:
- Heisenberg Uncertainty Principle and compatible operators.
- The Schrödinger and Heisenberg pictures of quantum mechanics.
- Coherent and Squeezed States.
- Two state systems and applications to NMR and MRI.
Syllabus
Week 1: The uncertainty principle and compatible operators.
Week 2: The harmonic oscillator, Schrodinger equation as unitary time evolution, The Heisenberg picture of quantum mechanics.
Week 3: Coherent and squeezed states of the harmonic oscillator.
Week 4: Coherent photon states. Two state systems, Nuclear Magnetic Resonance (NMR), and the ammonia maser.
Week 5: The setup for NMR (Nuclear Magnetic Resonance) and basic MRI (Magnetic Resonance Imaging).
Final assessment
