What is a hermitian operator?
Understand the Problem
The question is asking for a definition or explanation of a hermitian operator, which is a concept from linear algebra and quantum mechanics. It involves understanding the properties and implications of such operators in mathematical physics.
Answer
A Hermitian operator is a linear operator that is equal to its Hermitian adjoint.
A Hermitian operator is a linear operator that is equal to its own Hermitian adjoint (conjugate transpose).
Answer for screen readers
A Hermitian operator is a linear operator that is equal to its own Hermitian adjoint (conjugate transpose).
More Information
Hermitian operators have real eigenvalues, making them important in quantum mechanics where they represent observable quantities.
Tips
A common mistake is confusing Hermitian operators with general linear operators, not realizing that Hermitian operators must satisfy the adjoint condition.
Sources
- Hermitian Operator: Properties & Real Eigenvalues - Vaia - vaia.com
- Hermitian operator - Knowino - theochem.ru.nl
- Hermitian adjoint - Wikipedia - en.wikipedia.org
