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Spectral Resolutions and Quantum Observables

International Journal of Theoretical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dvurečenskij, Anatolij   +1 more
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Relative randomness of quantum observables

Physical Review A, 1991
We investigate statistics of matrix elements of observables, calculated in an eigenbasis of a quantum-mechanical evolution operator corresponding to a classically chaotic system. We propose a criterion that allows one to predict whether or not such statistics are faithful to random-matrix theory and define a random operator with respect to a given ...
, Kus, , Zyczkowski
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Observer dependence in quantum cosmology

Physical Review D, 1993
The main thesis of this paper is that minisuperspace quantum cosmology reproduces the observer dependence of the vacuum found in quantum field theory in curved spacetime. We show that the vacua picked up by the Hartle-Hawking "no boundary" proposal in two different minisuperspaces sharing the same classical limit ($k=0$ and $k=1$ de Sitter ...
, Calzetta, , Kandus
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Electronegativity: Quantum observable

International Journal of Quantum Chemistry, 2008
AbstractThe question whether electronegativity may be considered as quantum observable is responded in positive by a special ionization‐affinity wave function construction within the fermionic Fock space for the valence state of a chemical system. The present approach consecrates electronegativity as the minus eigen‐energy of the unperturbed occupied ...
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Observation of quantum frequency conversion

Physical Review Letters, 1991
Quantum frequency conversion,1 a process with which one beam of light can be converted into another of a different frequency while preserving the quantum state, is experimentally demonstrated. An implementation of quantum frequency conversion requires that an input beam to a sum-frequency generator be completely up-converted.
, Huang, , Kumar
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Universal quantum observables

Physics Letters A, 2002
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Continual Observations in Quantum Mechanics

1985
In Quantum Mechanics, as well known, due to the occurrence of the so called interference terms, any statement has to refer to a definite experiment performed on an object, i.e. to the response of a specific apparatus. No unambiguous meaning can be attached to statements on the value of any quantity independently of an explicit measurement of it.
BARCHIELLI, ALBERTO   +2 more
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Observables in Relativistic Quantum Mechanics

Journal of Mathematical Physics, 1964
The conventional statement of statistical determinism is that “the expectation values of all (Heisenberg)observables are determined by the expectation values of the observables at one time.” This requires that a full algebra of self-adjoint operators be in one-to-one correspondence with measurement procedures performed at one time.
Davidon, William C., Ekstein, Hans
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Quantum observable homotopy tracking control

The Journal of Chemical Physics, 2005
This paper presents a new tracking method where the target observable ⟨O(s,T)⟩ at the final dynamical time T follows a predefined track P(s) with respect to a homotopy tracking variable s⩾0. The procedure calculates the series of control fields E(s,t) required to accomplish observable homotopy tracking by solving a first-order differential equation in ...
Adam, Rothman   +2 more
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Observability of quaternionic quantum mechanics

Physical Review A, 1992
Beginning with the quaternionic generalization of the Schrodinger equation, we present a simple system consisting of two successive square barriers of general (quaternionic) height, and discuss situations in which the predictions of quaternionic quantum mechanics differ from those of the usual complex theory. Specifically, we show that the transmission
, Davies, , McKellar
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