Self-adjoint operator

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Page 3 of 4

Explores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.

Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.

Explores practical aspects of operator overloading in C++, emphasizing the importance of careful implementation to avoid performance issues.

Explores the verification of PVM properties and the spectral theorem for unbounded operators in quantum mechanics.

Covers properties and theorems related to compact and relatively compact operators, including the RAGE theorem and the Kato-Rellich theorem.

Covers Hermitian and Unitary operators, real number equivalents, and eigenvalues.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Covers the Herglotz representation theorem and the construction of projection-valued measure.

Explores quantum mechanics through observables, eigenvalues, and operators.

Explores density operators in quantum physics, emphasizing their role in describing quantum system states.