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Hilbert cube
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Related lectures (31)
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Abstract Variational Problems
Covers abstract variational problems in Hilbert spaces, focusing on boundedness, continuity, and coercivity.
Addition of Angular Momenta
Explores the addition of angular momenta in quantum mechanics and delves into Bell's Theorem.
Quantum Information Principles
Covers the principles of quantum information and the importance of avoiding entanglement.
Boltzmann (II): Berry phase formalism
Explores the Boltzmann transport equation, Berry phase, and the spin Hall effect in quantum mechanics.
Quadratic Variation: Martingales and Stochastic Integrals
Explores quadratic variation in martingales and stochastic integrals, emphasizing their properties and extensions.
Dirac's Notation, Tensor Product
Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.
Fourier Series: Complex Case
Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Signal Representations
Covers signal representations in Hilbert Spaces and the importance of orthogonality.
Mechanical Effects of Light
Covers the formulation and interpretation of mechanical effects of light.
Lecture 4: Hilbert Spaces and Unique Solutions
Covers Hilbert spaces and unique solutions in function spaces, emphasizing the Lax-Milgram theorem.
Crash Course on Quantum Mechanics
Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.
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