Consistency and linearity in quantum theory
نویسندگان
چکیده
منابع مشابه
Consistency and Linearity in Quantum Theory
Quantum theory is formulated as the uniquely consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if the amplitude of a quantum process can be computed in two different ways, the two answers must agree. The constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes....
متن کاملConsistency, Amplitudes and Probabilities in Quantum Theory
Quantum theory is formulated as the only consistent way to manipulate probability amplitudes. The crucial ingredient is a consistency constraint: if there are two different ways to compute an amplitude the two answers must agree. This constraint is expressed in the form of functional equations the solution of which leads to the usual sum and product rules for amplitudes. A consequence is that t...
متن کاملComment on “ Consistency , amplitudes , and probabilities in quantum theory ”
In a recent article [Phys. Rev. A 57, 1572 (1998)] Caticha has concluded that " nonlinear variants of quantum mechanics are inconsistent. " In this note we identify what it is that nonlinear quantum theories have been shown to be inconsistent with.
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The geometry of decoherence in generalized “consistent histories” quantum theory is explored, revealing properties of the theory that are independent of any particular application of it. Attention is focussed on the case of quantum mechanics in a finite dimensional Hilbert space H. It is shown how the domain of definition of a general decoherence functional naturally extends to the entire space...
متن کاملOn consistency of quantum theory and macroscopic objectivity
Discussions on the measurement problem in quantum mechanics are often tied with preconceptions about what physics should be, thus influencing what one appreciates to be or not to be a problem. Let us therefore first declare the preconceptions inherent in this contribution. Physics deals primarily with experiments that are reproducible in a laboratory and with the outcomes of these experiments. ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1998
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00289-8