Define Hermitian operator.
Understand the Problem
The question is asking for a definition of a Hermitian operator, which is a concept in mathematics and quantum mechanics that relates to operators whose eigenvalues are real and eigenfunctions are orthogonal. This involves understanding its properties and significance in various fields.
Answer
A linear operator equal to its own Hermitian adjoint.
A Hermitian Operator is a linear operator that is equal to its own Hermitian adjoint (also known as its conjugate transpose).
Answer for screen readers
A Hermitian Operator is a linear operator that is equal to its own Hermitian adjoint (also known as its conjugate transpose).
More Information
Hermitian operators are important in quantum mechanics since they correspond to observable physical quantities and their eigenvalues are real numbers.
Tips
Common mistakes include not correctly identifying the complex conjugate and transpose operations, leading to incorrect conclusions about whether an operator is Hermitian.
Sources
- Define Hermitian Operator - Vaia.com - vaia.com
- Hermitian Operators - Chemistry LibreTexts - chem.libretexts.org
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