7,429 research outputs found

    Locality, Lorentz invariance and the Bohm model

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    Non-local forces exist in nature for two reasons. First that the recent experiments on locality are supposed to be accurate enough. Second that there is no local theory that can reproduce all the predictions of orthodox quantum theory which, almost for about a century, have been proved to be correct experimentally again and again. This thesis concerns both of these. A brief discussion of the measurement in quantum theory is followed by two comments which show that the quantum description is frame dependent and that the collapse of the wave-function of a system may occur without the relevant measurement being performed. After this the Bohm model and a modified version of the Bohm model are described. Next we introduce a new method for obtaining the Bell-type inequalities which can be used for testing locality. We derive more inequalities by this method than obtained by other existing procedures. Using Projection Valued(PV) and Positive Operator Valued Measures(POVM) measurements we have designed experiments which violates one of the Bell inequalities by a larger factor than existing violations which in turn could increase the accuracy of experiments to test for non-locality. This is our first result. After discussing the non-locality and non-Lorentz invariant features of the Bohm model, its retarded version, namely Squires' model - which is local and Lorentz invariant - is introduced. A problem with this model, that is the ambiguity in the cases where the wave-function depends on time, is removed by using the multiple-time wave-function. Finally, we apply the model to one of the experiments of locality and prove that it is in good agreement with the orthodox quantum theory

    Why the De Broglie-Bohm Theory Goes Astray

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    We show that the de Broglie-Bohm theory is inconsistent with the established parts of quantum mechanics concerning its physical content. According to the de Broglie-Bohm theory, the mass and charge of an electron are localized in a position where its Bohmian particle is. However, protective measurement implies that they are not localized in one position but distributed throughout space, and the mass and charge density of the electron in each position is proportional to the modulus square of its wave function there

    Solving the measurement problem: de Broglie-Bohm loses out to Everett

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    The quantum theory of de Broglie and Bohm solves the measurement problem, but the hypothetical corpuscles play no role in the argument. The solution finds a more natural home in the Everett interpretation

    Is the electron's charge 2e? A problem of the de Broglie-Bohm theory

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    It is shown that the de Broglie-Bohm theory has a potential problem concerning the charge distribution of a quantum system such as an electron. According to the guidance equation of the theory, the electron's charge is localized in a position where its Bohmian particle is. But according to the Schrödinger equation of the theory, the electron's charge is not localized in one position but distributed throughout space, and the charge density in each position is proportional to the modulus square of the wave function of the electron there. Although this tension may be resolved by assuming that the electron's charge is not e but 2e, one for its Bohmian particle and the other for its wave function, the resolution will introduce more serious problems

    Protective measurements and the meaning of the wave function in the de Broglie-Bohm theory

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    There are three possible interpretations of the wave function in the de Broglie-Bohm theory: taking the wave function as corresponding to a physical entity or a property of the Bohmian particles or a law. In this paper, we argue that the first interpretation is favored by an analysis of protective measurements

    Les fileuses : rêverie pour piano : op. 261 / par C. Bohm ; [ill. par] E. Buval

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    Titre uniforme : Bohm, Carl (1844-1920). Compositeur. [In der Spinnstube. Piano. Op. 261]Piano, Musique de -- +* 1800......- 1899......+:19e siècle

    Aharonov–Bohm superselection sectors

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    We show that the Aharonov–Bohm effect finds a natural description in the setting of QFT on curved spacetimes in terms of superselection sectors of local observables. The extension of the analysis of superselection sectors from Minkowski spacetime to an arbitrary globally hyperbolic spacetime unveils the presence of a new quantum number labelling charged superselection sectors. In the present paper, we show that this “topological” quantum number amounts to the presence of a background flat potential which rules the behaviour of charges when transported along paths as in the Aharonov–Bohm effect. To confirm these abstract results, we quantize the Dirac field in the presence of a background flat potential and show that the Aharonov–Bohm phase gives an irreducible representation of the fundamental group of the spacetime labelling the charged sectors of the Dirac field. We also show that non-Abelian generalizations of this effect are possible only on spacetimes with a non-Abelian fundamental group

    Six morceaux caractéristiques. 4, Le jeu de bagues : morceau caractéristique : pour piano / par C. Bohm ; [couv. ornée par] Æ

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    Titre uniforme : Bohm, Carl (1844-1920). Compositeur. [Le jeu de bagues. Piano]Piano, Musique de -- +* 1800......- 1899......+:19e siècle

    Six morceaux caractéristiques. 1, Au mois de mai : projet pour le piano / par C. Bohm ; [couv. ornée par] Æ

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    Titre uniforme : Bohm, Carl (1844-1920). Compositeur. [Au mois de mai. Piano]Piano, Musique de -- +* 1800......- 1899......+:19e siècle

    Six morceaux caractéristiques. 2, Chantons et dansons : caprice pour piano / par C. Bohm ; [couv. ornée par] Æ

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    Titre uniforme : Bohm, Carl (1844-1920). Compositeur. [Chantons et dansons. Piano]Piano, Musique de -- +* 1800......- 1899......+:19e siècle:Caprices (piano) -- +* 1800......- 1899......+:19e siècle
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