‘Measurement of quantum mechanical operators’ revisited

‘Measurement of quantum mechanical operators’ revisited

The Wigner-Araki-Yanase (WAY) theorem states a remarkable limitation to quantum mechanical measurements in the presence of additive conserved quantities. Discovered by Wigner in 1952, this limitation is known to induce constraints on the control of individual quantum systems in the context of information processing. It is therefore important to understand the precise conditions and scope of the...

Noether Theorem and the quantum mechanical operators

We show that the quantum mechanical momentum and angular momentum operators are fixed by the Noether theorem for the classical Hamiltonian field theory we proposed. Recently, we have proposed a classical Hamiltonian field theory [1],which in the limit of very large Planck frequency,mimics many aspects of a quantum mechanical system. In particular, the Schrodinger Equation will follow from the H...

The Measurement Problem in Quantum Mechanics Revisited

Layers and Operators Revisited

Perhaps Functional Grammar’s most distinctive feature is its extensive use of the so-called layered structure of the clause (LSC). The LSC is used as both a descriptive and explanatory construct, dividing the linguistic world into various hierarchically related layers, each with concomitant operators and satellites. Since Hengeveld’s original Layers and Operators article (1989), the principle o...

Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators

D. H. Santamore,1,2,3 A. C. Doherty,3,4,5 and M. C. Cross3 1ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Department of Physics, California Institute of Technology, Pasadena, California 91125, USA 4Institute for Quantum Information, California Institute of Technology, Pasad...