Hermitian

The observable is conserved if and only if the equations of motion are invariant under the transformations generated by the corresponding [Hermitian] operator

The Language of Science – it’s “just a theory” 2010

The observable is conserved if and only if the equations of motion are invariant under the transformations generated by the corresponding [Hermitian] operator

Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day 2010

The observable is conserved if and only if the equations of motion are invariant under the transformations generated by the corresponding [Hermitian] operator

Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day 2010

Hermitian operators in the Hilbert space associated with a system represent physical quantities, and their eigenvalues represent the possible results of measurements of those quantities.

Quantum Mechanics Ismael, Jenann 2009

There are many cases in quantum mechanics where the Hamiltonian functions that represent the total energy of mechanical systems imitate those of classical mechanics, but with variables like those that stand for position and momentum replaced by Hermitian operators.

Structural Realism Ladyman, James 2009

Strictly speaking an observable in QM is determined by a Hermitian operator.

Does Space Expand? Sean 2008

So is Hermitian and has units of frequency, so it must be some kind of frequency observable.

Succumbing to LaTeX Sean 2008

That makes the operator on the right side Hermitian.

Succumbing to LaTeX Sean 2008

The only thing which is real are the eigenvalues of Hermitian operators.

Quantum Hyperion Sean 2008

I tend to think of the expectation of a Hermitian operator as observable.

Does Space Expand? Sean 2008