Advanced Quantum Mechanics with Applications
Explore advanced quantum mechanics concepts, from mathematical formalism to applications in quantum computing, NMR, and scattering theory. Gain insights into approximation methods and quantum dynamics.
Quantum Mechanics I
This course covers basic concepts of quantum mechanics and mathematical preliminaries, eigenvalues, expectation values, measurement and the uncertainty principle, time evolution of wavepackets, 1-dimensional potential well problems
Quantum Mechanics I
Comprehensive introduction to quantum mechanics, covering linear vector spaces, postulates, uncertainty principle, harmonic oscillators, angular momentum, wave mechanics, and perturbation theory.
Quantum Mechanics and Application
Explore quantum mechanics through topics like angular momentum, harmonic oscillators, and perturbation theory. Gain insights into advanced concepts and practical applications in physics.
Fluctuations in Complex Network-coupled Oscillators
Explore the dynamics of network-coupled oscillators, examining fluctuations and their impact on complex systems behavior and stability.
Mathematical Modelling in Biology - Enzyme Kinetics and Perturbation Theory - Lecture 2
Explore enzyme-substrate reactions using separation of timescales and perturbation analysis to derive solutions and simplify complex biological systems.
Quantum Theory
Comprehensive exploration of quantum mechanics, covering axioms, mathematical foundations, operators, spectra, and applications like spin and harmonic oscillators. Ideal for advanced physics students.
Hard Lefschetz Theorem and Hodge-Riemann Relations for Convex Valuations
Explore mixed hard Lefschetz theorem and Hodge-Riemann relations in smooth valuations, generalizing Alexandrov-Fenchel inequality for convex bodies using operator perturbation theory.
Amplitudes de Cordes et Équations de Type Knizhnik-Zamolodchikov
Explorez les avancées récentes dans la compréhension des amplitudes de cordes et leurs liens avec les équations de Knizhnik-Zamolodchikov, en mettant l'accent sur les relations entre cordes ouvertes et fermées.
Resurgence - Lecture 2
Explore advanced concepts in resurgence theory, focusing on applications and recent developments in mathematical physics and quantum mechanics.
Resurgence in Quantum Theory - Lecture 1
Explore resurgence theory in mathematics with Paolo Gregori's comprehensive lecture, covering fundamental concepts and applications in mathematical physics.
Asymptotic Behavior and Selection of Subgame Perfect Nash Equilibria in Stackelberg Games
Explorez le comportement asymptotique et la sélection des équilibres de Nash parfaits en sous-jeux dans les jeux de Stackelberg sous diverses perturbations des ensembles d'actions et des fonctions de gain.
Introduction to KAM Theory - Lecture 1
Delve into the fundamentals of Kolmogorov-Arnold-Moser (KAM) theory, exploring quasi-periodic motions, celestial mechanics stability, and analytical solutions for circle diffeomorphisms and Hamiltonian systems.
Introduction to KAM Theory - Lecture 2
Delve into the fundamentals of KAM theory and its application in celestial mechanics, exploring quasi-periodic motions, small divisors, and analytical circle diffeomorphisms in dynamical systems.
Standard and Less Standard Asymptotic Methods - Lecture 2
Explore advanced asymptotic methods in mathematics, delving into both standard and unconventional approaches to enhance problem-solving skills and theoretical understanding.
Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators
Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.
Modular Resurgence for Integrated Correlators at Large N
Explore modular resurgence in integrated correlators at large N, delving into advanced mathematical concepts and their applications in theoretical physics.
Existence and Stability of Corotational Wave Maps into Perturbed Spheres
Explore corotational wave maps from Minkowski space to perturbed spheres, examining existence and stability of self-similar solutions in energy-supercritical scenarios.
Perturbation of Fiedler Vector: Interest for Graph Measures and Shape Analysis
Explore Fiedler vector perturbation and its applications in graph measures and shape analysis, gaining insights into advanced mathematical concepts.
Spectral Perturbation Formulae for Quenched Random Dynamics with Applications - Lecture
Explore spectral perturbation formulae for quenched random dynamics and their applications in this mathematical conference talk by Gary Froyland.
Perturbations of Periodic Sturm-Liouville Operators
Explore perturbations of periodic Sturm-Liouville operators, focusing on Hill's equation and its applications in crystal physics. Analyze spectral changes under L1-assumptions and finite first moment conditions.