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This is from a series of lectures - "Lectures on Quantum Theory" delivered by Dr.Frederic P Schuller.
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Description
Topics covered in this course will include the axioms of quantum mechanics; Hilbert and Banach spaces; projectors, bras and kets; measure theory; integration of measurable functions; self adjoint and essentially self-adjoint operators; spectra and perturbation theory; inverse spectral theorem; spectral theorem; Stone's theorem and construction of observables; spin; composite systems; total spin of a composite system; quantum harmonic oscillator; the Fourier operator; the free Schrodinger operator; and periodic potentials.
Course content
- Lecture 01 – Axioms of Quantum Mechanics Unlimited
- Lecture 02 – Banach Spaces Unlimited
- Lecture 03 – Separable Hilbert Spaces Unlimited
- Lecture 04 – Projectors, Bras and Kets Unlimited
- Lecture 05 – Measure Theory Unlimited
- Lecture 06 – Integration of Measurable Functions Unlimited
- Lecture 07 – Self Adjoint and Essentially Self-adjoint Operators Unlimited
- Lecture 08 – Spectra and Perturbation Theory Unlimited
- Lecture 09 – Case Study: Momentum Operator Unlimited
- Lecture 10 – Inverse Spectral Theorem Unlimited
- Lecture 11 – Spectral Theorem Unlimited
- Lecture 12 – Stone’s Theorem and Construction of Observables Unlimited
- Lecture 13 – Spin Unlimited
- Lecture 14 – Composite Systems Unlimited
- Lecture 15 – Total Spin of a Composite System Unlimited
- Lecture 16 – Quantum Harmonic Oscillator Unlimited
- Lecture 17 – Measurements Unlimited
- Lecture 18 – The Fourier Operator Unlimited
- Lecture 19 – The Free Schrodinger Operator Unlimited
- Lecture 20 – Periodic Potentials Unlimited
- Lecture 21 – Relativistic Quantum Mechanics Unlimited
Instructor
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