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Related lectures (32)

Page 3 of 4

Quantum Field Theory: Exo Session 4

Covers exercises on Schur's lemma and the Jacobi identity in Quantum Field Theory.

Linear Operators: Traces and Boundedness

Covers the concept of linear operators, focusing on traces and boundedness.

Semigroups of Linear Operators

Explores semigroups of linear operators, contraction semigroups, infinitesimal generator, and Riemann integral properties.

Quantum Mechanics: Mathematical Framework

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

Linear Operators and Bounded Domains

Covers linear operators and bounded domains, focusing on the existence of such operators in domains with bounded boundaries.

Functional Analysis I: Spectral Theorem

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

Well-Posedness of Elliptic PDEs

Explores the well-posedness of elliptic partial differential equations with various boundary conditions, emphasizing the weak formulation and coercivity.

Biomechanics of Musculoskeletal System: Linear Constitutive Law

Explores biomechanics of musculoskeletal system and tissue behavior under mechanical loading.

Cayley-Hamilton Theorem

Covers the Cayley-Hamilton Theorem, stating that for a linear operator on a vector space, its characteristic polynomial satisfies its own equation.

Continuum Mechanics: Conservation Laws and Kinematics

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.