Quantum Interference and the Quantum Potential
... questions, we must not raise them because they are, in fact, meaningless. Thus we are left with point electrons producing interferencelike phenomena with no intuitive structure to comprehend such a behaviour and, by following Bohr, we must combine incompatible concepts like wave and particle through ...
... questions, we must not raise them because they are, in fact, meaningless. Thus we are left with point electrons producing interferencelike phenomena with no intuitive structure to comprehend such a behaviour and, by following Bohr, we must combine incompatible concepts like wave and particle through ...
Bell`s Theorem
... time Bohm had finished the book Einstein had convinced him that Quantum Mechanics was at least incomplete. Bohm then spent many years in search of hidden variables, unobserved factors inside, say, a radioactive atom that determines when it is going to decay. In a hidden variable theory, the time for ...
... time Bohm had finished the book Einstein had convinced him that Quantum Mechanics was at least incomplete. Bohm then spent many years in search of hidden variables, unobserved factors inside, say, a radioactive atom that determines when it is going to decay. In a hidden variable theory, the time for ...
Conspiracy Theories of Quantum Mechanics - Philsci
... representational machinery. Since this paper concerns a particular strategy for “completing” quantum mechanics, it will be useful to begin by rehearsing the usual arguments that quantum mechanics requires such completion. These arguments refer to the fact that, on the standard interpretation, quant ...
... representational machinery. Since this paper concerns a particular strategy for “completing” quantum mechanics, it will be useful to begin by rehearsing the usual arguments that quantum mechanics requires such completion. These arguments refer to the fact that, on the standard interpretation, quant ...
Quantum mechanics and reality
... the measuring apparatus itself, in is faithfully represented solely by the following mathematical objects: a vecquantum-mechanical terms. At this point Bohr entered the picture tor in a Hilbert space; a set of dyand deflected Heisenberg somewhat namical equations (derived from a from his original pr ...
... the measuring apparatus itself, in is faithfully represented solely by the following mathematical objects: a vecquantum-mechanical terms. At this point Bohr entered the picture tor in a Hilbert space; a set of dyand deflected Heisenberg somewhat namical equations (derived from a from his original pr ...
Quantum Mechanics, Locality and Realism
... Alternative (still alive): Bohmian Mechanics (with non-local pilot waves) LNGS - 28 June 2012 ...
... Alternative (still alive): Bohmian Mechanics (with non-local pilot waves) LNGS - 28 June 2012 ...
A Signed Particle Formulation of Non
... negative values). Now, classical objects are always localized in a precise point of the phase-space (represented by δ−functions), while for quantum objects the presence of the Heisenberg principle of uncertainty prevents such localization, forcing the description of the dynamics to an area of the ph ...
... negative values). Now, classical objects are always localized in a precise point of the phase-space (represented by δ−functions), while for quantum objects the presence of the Heisenberg principle of uncertainty prevents such localization, forcing the description of the dynamics to an area of the ph ...
Identical Particles - Theory of Condensed Matter
... a pair of electrons in the spin singlet state must have a symmetric spatial wavefunction, ψ(r1 , r2 ), whereas electrons in the spin triplet states must have an antisymmetric spatial wavefunction. Before discussing the physical consequences of this symmetry, let us mention how this scheme generalize ...
... a pair of electrons in the spin singlet state must have a symmetric spatial wavefunction, ψ(r1 , r2 ), whereas electrons in the spin triplet states must have an antisymmetric spatial wavefunction. Before discussing the physical consequences of this symmetry, let us mention how this scheme generalize ...
Lüders Rule1 The Lüders rule describes a change - Philsci
... of the → operations IX of the form IX (T ) = ai ∈X Pi T Pi , and it is characterized as a repeatable, ideal, nondegenerate measurement [3, Theorem IV.3.2], see also [7, Theorem 4.7.2]. In such a measurement, with no selection or reading of the result, the state of the system underP P goes the transf ...
... of the → operations IX of the form IX (T ) = ai ∈X Pi T Pi , and it is characterized as a repeatable, ideal, nondegenerate measurement [3, Theorem IV.3.2], see also [7, Theorem 4.7.2]. In such a measurement, with no selection or reading of the result, the state of the system underP P goes the transf ...
The roads not taken: empty waves, wavefunction collapse and
... makes reference to ‘particle’ properties such as mass, the linearly evolving wavefunction ψ ( x ) does not generally exhibit any feature that could be put into correspondence with a localized particle structure. To turn quantum mechanics into a theory of matter and motion, with real atoms and molecu ...
... makes reference to ‘particle’ properties such as mass, the linearly evolving wavefunction ψ ( x ) does not generally exhibit any feature that could be put into correspondence with a localized particle structure. To turn quantum mechanics into a theory of matter and motion, with real atoms and molecu ...
chapter-1 overview: contrasting classical and quantum mechanics
... with the general principles of relativity. It was found that the Maxwell equations were already intrinsically harmonious with the principles of relativity (as postulated by Einstein) and rather Newton’s classical mechanics laws had to be modified. The corresponding correction, it turns out, was rath ...
... with the general principles of relativity. It was found that the Maxwell equations were already intrinsically harmonious with the principles of relativity (as postulated by Einstein) and rather Newton’s classical mechanics laws had to be modified. The corresponding correction, it turns out, was rath ...
- Philsci
... electron 1 and finding a definitely spin up or down state, therefore, we know with certainty the result on electron 2. Assuming locality, that is, that the measurement of 1 didn’t affect the state of 2, EPR reason that it must be that 2 already had a definite spin state—even when it was in the singl ...
... electron 1 and finding a definitely spin up or down state, therefore, we know with certainty the result on electron 2. Assuming locality, that is, that the measurement of 1 didn’t affect the state of 2, EPR reason that it must be that 2 already had a definite spin state—even when it was in the singl ...
Section 13.1 :The Quantum Theory of Motion
... Section 13.1∗ :The Quantum Theory of Motion Interference and Tunneling ...
... Section 13.1∗ :The Quantum Theory of Motion Interference and Tunneling ...
Physics Today
... Schrödinger equation, Erwin Madelung demonstrated that a particular transformation of the wavefunction provides a means of recasting the equation into hydrodynamic form. The corresponding system is a shallow, inviscid fluid layer evolving under the action of surface tension, if one associates the pr ...
... Schrödinger equation, Erwin Madelung demonstrated that a particular transformation of the wavefunction provides a means of recasting the equation into hydrodynamic form. The corresponding system is a shallow, inviscid fluid layer evolving under the action of surface tension, if one associates the pr ...
Determinism, Chaos and Quantum Mechanics.
... avoid that situation. But then, how can the mere existence of the function F be refuted? In fact, its existence is trivial- take any finite sequence of sets of numbers that never repeats itself. One can always find one- in fact many- functions that maps each set into the next one. So, let me propose t ...
... avoid that situation. But then, how can the mere existence of the function F be refuted? In fact, its existence is trivial- take any finite sequence of sets of numbers that never repeats itself. One can always find one- in fact many- functions that maps each set into the next one. So, let me propose t ...
What Does Quantum Mechanics Suggest About Our
... quantities have determinate values? Several people have tried to solve this puzzle. For example, according to an idea of Louis de Broglie, which was later developed by David Bohm, reality is made out of small corpuscles that always have completely determinate positions. But why treat particle config ...
... quantities have determinate values? Several people have tried to solve this puzzle. For example, according to an idea of Louis de Broglie, which was later developed by David Bohm, reality is made out of small corpuscles that always have completely determinate positions. But why treat particle config ...
Answers
... Clearly, this has zeros when x1 = 0, L, when x2 = 0, L, and when x1 = x2 . If the particles were charged, they would repel each other through the Coulomb interaction. Therefore, in the spin 1/2 case, the triplet state would have the lower energy, because the particles tend to be further apart. This ...
... Clearly, this has zeros when x1 = 0, L, when x2 = 0, L, and when x1 = x2 . If the particles were charged, they would repel each other through the Coulomb interaction. Therefore, in the spin 1/2 case, the triplet state would have the lower energy, because the particles tend to be further apart. This ...
Quantum Potential - Fondation Louis de Broglie
... whenever we have a Newtonian force equation like dp/dt = −∇V or dp/dt = −∇(V + Q)(as we have from Bohm’s formulation), we can find a S function such that we have p = ∇S. This equation is a mathematical definition. Indeed, arriving at this relation by starting from a Newtonian force law is much simpl ...
... whenever we have a Newtonian force equation like dp/dt = −∇V or dp/dt = −∇(V + Q)(as we have from Bohm’s formulation), we can find a S function such that we have p = ∇S. This equation is a mathematical definition. Indeed, arriving at this relation by starting from a Newtonian force law is much simpl ...
PDF
... effect can be very large even when the amplitude of the field is very small. Because of this, the effect of the potential need not fall off as the distance increases and this is just the property required for an explanation of the EPR correlations. Thirdly the quantum potential carries information a ...
... effect can be very large even when the amplitude of the field is very small. Because of this, the effect of the potential need not fall off as the distance increases and this is just the property required for an explanation of the EPR correlations. Thirdly the quantum potential carries information a ...
Beables for Quantum Electrodynamics
... those interpretations are ruled out by Bell’s inequality ([2], chap 7) and the experiments that have been carried out later. If fact local ones are ruled out, but since non-locality is commonly claimed to be unacceptable (even weak non-locality, which does not lead to paradoxical situations), it is ...
... those interpretations are ruled out by Bell’s inequality ([2], chap 7) and the experiments that have been carried out later. If fact local ones are ruled out, but since non-locality is commonly claimed to be unacceptable (even weak non-locality, which does not lead to paradoxical situations), it is ...
What are quantum states?
... mathematical entities that characterize, in the most accurate way possible in principle, the situation of an individual physical system” Tim Maudlin: “ultimately, there should be but one quantum state: that of the whole universe” – p. 3 ...
... mathematical entities that characterize, in the most accurate way possible in principle, the situation of an individual physical system” Tim Maudlin: “ultimately, there should be but one quantum state: that of the whole universe” – p. 3 ...
1 Two qubits - EECS: www
... mechanics, but without resorting to probabilistic outcomes. But in 1964, almost three decades after the EPR paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. ...
... mechanics, but without resorting to probabilistic outcomes. But in 1964, almost three decades after the EPR paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. ...
Mathcad - EPRBell
... realistic spin states in the left column of the table above are invalid because they assign definite values to incompatible observables. For example, if the z-axis spin value of the first particle is known to be +, then the state of the composite system is not +++/--- or ++-/--+ or +-+/-+- or +--/-+ ...
... realistic spin states in the left column of the table above are invalid because they assign definite values to incompatible observables. For example, if the z-axis spin value of the first particle is known to be +, then the state of the composite system is not +++/--- or ++-/--+ or +-+/-+- or +--/-+ ...
Quantum Information and Randomness - Max-Planck
... A decisive feature in experiments violating Bell’s inequality is that entangled states of particle pairs are used. One particle of each pair is measured at one location by a party, usually called Alice. The other particle is detected at some distant location by another party, usually called Bob. Ali ...
... A decisive feature in experiments violating Bell’s inequality is that entangled states of particle pairs are used. One particle of each pair is measured at one location by a party, usually called Alice. The other particle is detected at some distant location by another party, usually called Bob. Ali ...
Slide 101
... Quantum Mechanics Homework #10 1. Goswami problem 7.1. 2. Goswami problem 7.4. 3. Consider a particle which is known to be in the ground state of the harmonic oscillator. What is the probability of finding the particle outside the classically allowed region? 4. For a function f (x) that can be expa ...
... Quantum Mechanics Homework #10 1. Goswami problem 7.1. 2. Goswami problem 7.4. 3. Consider a particle which is known to be in the ground state of the harmonic oscillator. What is the probability of finding the particle outside the classically allowed region? 4. For a function f (x) that can be expa ...