Nine formulations of quantum mechanics
نویسندگان
چکیده
منابع مشابه
Nine theorems on the unification of quantum mechanics and relativity
A mathematical framework that unifies the standard formalisms of special relativity and quantum mechanics is proposed. For this a Hilbert space H of functions of four variables x, t furnished with an additional indefinite inner product invariant under Poincaré transformations is introduced. For a class of functions in H that are well localized in the time variable the usual formalism of nonrela...
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We explain why the main conclusion of Bender et al, J. Phys. A 39, 1657 (2006), regarding the practical superiority of the non-Hermitian description of PT -symmetric quantum systems over their Hermitian description is not valid. Recalling the essential role played by the Hermitian description in the characterization and interpretation of the physical observables, we maintain that as far as the ...
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A class of decoherence schemes is described for implementing the principles of generalized quantum theory in reparametrization-invariant ‘hyperbolic’ models such as minisuperspace quantum cosmology. The connection with sumover-histories constructions is exhibited and the physical equivalence or inequivalence of different such schemes is analyzed. The discussion focuses on comparing construction...
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Abstract A non-Hermitian Hamiltonian that has an unbroken PT symmetry can be converted by means of a similarity transformation to a physically equivalent Hermitian Hamiltonian. This raises the following question: In which form of the quantum theory, the non-Hermitian or the Hermitian one, is it easier to perform calculations? This paper compares both forms of a non-Hermitian ix quantum-mechanic...
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The many-worlds and many-minds formulations of quantum mechanics are reconstructions of Hugh Everett ill's (19578, 1957b, 1973) relative-state fonnulation of quantum mechanics. Each is presented as a proposal for solving the quantum measurement problem. Much of the philosophical interest in these theories derives from the metaphysical commitments they suggest. They illustrate the roles played b...
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ژورنال
عنوان ژورنال: American Journal of Physics
سال: 2002
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.1445404