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Quantum Fluids: Cross Section & Lifetime
Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.
Quadratic Forms and Symmetric Bilinear Forms
Explores quadratic forms, symmetric bilinear forms, and their properties.
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Matricizations and Alternating Least Squares
Covers matricizations, ALS method, and tensor decomposition, emphasizing the alignment of fibers in matrices.
Laws of Transformation of Velocities and Accelerations
Covers the laws of transformation of speeds and accelerations, including the rotation of points and dynamic movement principles.
Classification of Quadratic Forms
Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
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.
Particle Detection: Stable Particles and Lifetime
Explores the detection of stable particles in particle physics experiments, covering observed and unobserved particles, their lifetimes, and the impact of Lorentz boost.
Dynamics on Homogeneous Spaces and Interactions with Number Theory
Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.