John von Neumann coined the term " abstract Hilbert space " in his work on unbounded Hermitian operators.
12.
Hermitian operators represent observables, so the Pauli matrices span the space of observables of the-dimensional complex Hilbert space.
13.
Measurable quantities are associated with Hermitian operators acting on " H " : these are referred to as observables.
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Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor.
15.
An arbitrary Hermitian operator on the Hilbert space of the system need not correspond to something which is a physically measurable observable.
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While this derivation is classical, the concept of a Hermitian operator generating energy-conserving infinitesimal transformations forms an important basis for quantum mechanics.
17.
You then need to check to see if S is a Hermitian operator . talk ) 15 : 51, 8 March 2013 ( UTC)
18.
Even though this treatment is still purely classical, standard quantum tools such as unitary and Hermitian operators that evolve the state in time naturally emerge.
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*We say that a hermitian operator, H, majorizes another, H', if the set of eigenvalues of H majorizes that of H '.
20.
With this convention, it will be shown that energy conservation requires H to be a Hermitian operator and that H is related to the energy of a particle.
