Self-adjoint operator/Related Articles: Difference between revisions
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Latest revision as of 16:01, 16 October 2024
- See also changes related to Self-adjoint operator, or pages that link to Self-adjoint operator or to this page or whose text contains "Self-adjoint operator".
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- Adjoint (operator theory) [r]: The adjoint of an operator A is the operator A* satisfying ⟨u, Av⟩ = ⟨A*u, v⟩. [e]
- Energy (science) [r]: A measurable physical quantity of a system which can be expressed in joules (the metric unit for a quantity of energy) or other measurement units such as ergs, calories, watt-hours or Btu. [e]
- Hermitian operator [r]: linear operator on an inner product space that is equal to its Hermitian adjoint; also called self-adjoint operator. [e]
- Hilbert space [r]: A complete inner product space. [e]
- Molecular Hamiltonian [r]: Quantum mechanical operator describing the energy associated with motions and interactions of the electrons and nuclei that constitute a molecule. [e]
- Quantum mechanics [r]: An important branch of physics dealing with the behavior of matter and energy at very small scales. [e]
- Trace (mathematics) [r]: Sum of diagonal elements of matrix; for linear operator T, the trace is Σk ⟨vk|T|vk⟩ where {vk} is an orthonormal basis. [e]
- Quantum operation [r]: A mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. [e]
- Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. [e]
- Dirac delta function [r]: Sharply peaked function, generalization of the Kronecker delta; a distribution that maps a regular function onto a single function value. [e]
- Entropy (thermodynamics) [r]: Thermodynamic variable S appearing in the second law of thermodynamics. [e]