Quantum Physics I

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Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Uncertainty Principle

Explores the uncertainty principle in quantum mechanics, covering compatible observables, system states, and mathematical representations of uncertainty.

Quantum Physics I

Introduces quantum physics postulates, measurement principles, and operator transformations between bases.

Quantum Mechanics: Wave Functions and Operators

Explores quantum mechanics, focusing on wave functions, operators, Heisenberg uncertainty principle, and particles in potential wells.

States of Composite Systems

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

Harmonic Forms and Riemann Surfaces

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Quantum Mechanics: Observables and Eigenvalues

Explores quantum mechanics through observables, eigenvalues, and operators.

Linear Maps and the Duality Principle in Mathematics

Covers the duality principle in linear algebra and its implications in mathematics.

Discrete Symmetries Introduction

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Asymptotic States and S-matrix: Operators

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.