What you always wanted to know about Bohmian mechanics but
... The interpretation of quantum mechanics has been discussed ad nauseam and the engagement with it can be a frustrating and disappointing business. This subject matter continues to produce an endless stream of publications1 and nobody can reasonably expect this issue to be settled in the future. So mu ...
... The interpretation of quantum mechanics has been discussed ad nauseam and the engagement with it can be a frustrating and disappointing business. This subject matter continues to produce an endless stream of publications1 and nobody can reasonably expect this issue to be settled in the future. So mu ...
A Relativistic, Causal Account of a Spin Measurement
... where the {σ̂k } are the Pauli spin operators. The Pauli equation can now be used to determine the equation of motion for the spin vector along a chosen streamline. The resulting equation differs from the classical equation by the inclusion of the ‘quantum torque’ which is a non-local term involving ...
... where the {σ̂k } are the Pauli spin operators. The Pauli equation can now be used to determine the equation of motion for the spin vector along a chosen streamline. The resulting equation differs from the classical equation by the inclusion of the ‘quantum torque’ which is a non-local term involving ...
Science as Representation: Flouting the Criteria
... to the system as a whole (box with cat etc. inside) for which measurement outcome probabilities are certainly different on the two scenarios.7 Let’s admit that von Neumann’s alteration of the quantum theory, with or without Wigner’s addition, implies that the phenomena do derive from the quantum-mec ...
... to the system as a whole (box with cat etc. inside) for which measurement outcome probabilities are certainly different on the two scenarios.7 Let’s admit that von Neumann’s alteration of the quantum theory, with or without Wigner’s addition, implies that the phenomena do derive from the quantum-mec ...
Two-level quantum dot in the Aharonov–Bohm ring. Towards understanding “phase lapse” P.
... arises from the Fano effect [8] which develops itself due to the presence in transport of the direct channel apart from resonant dot level. Inclusion of the ε2 level, which is coupled indirectly to conducting ε1, causes the appearance of sharp Fano resonances, whose shapes depend on the QD level spl ...
... arises from the Fano effect [8] which develops itself due to the presence in transport of the direct channel apart from resonant dot level. Inclusion of the ε2 level, which is coupled indirectly to conducting ε1, causes the appearance of sharp Fano resonances, whose shapes depend on the QD level spl ...
For printing - Mathematical Sciences Publishers
... Gurney [1928]. The authors concluded that the initial state of the emitted α-particle has to be described by a spherical wave, with center in the nucleus and isotropically propagating in space. It was immediately noticed that the spherical shape of the initial state was apparently in contrast with t ...
... Gurney [1928]. The authors concluded that the initial state of the emitted α-particle has to be described by a spherical wave, with center in the nucleus and isotropically propagating in space. It was immediately noticed that the spherical shape of the initial state was apparently in contrast with t ...
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... Smolin and Crane tried to make a string theory from loops independent of a background metric. They also used a "fractal space-time" in which nonperturbative effects lowered the effective dimension of space-time passing through the Planck scale. That is the effective dimension of space would be less ...
... Smolin and Crane tried to make a string theory from loops independent of a background metric. They also used a "fractal space-time" in which nonperturbative effects lowered the effective dimension of space-time passing through the Planck scale. That is the effective dimension of space would be less ...
Quantum Mechanics and Chaos Theory
... shown in Figure 1. Alternatively, if the initial conditions are changed not by displacing the initial point, but by changing the angle of the shot, we see that the new trajectory diverges from the original one at a linear rate. The conclusion we draw is thus that the divergence of what we call “near ...
... shown in Figure 1. Alternatively, if the initial conditions are changed not by displacing the initial point, but by changing the angle of the shot, we see that the new trajectory diverges from the original one at a linear rate. The conclusion we draw is thus that the divergence of what we call “near ...
Who Invented the Copenhagen Interpretation? A Study in Mythology
... that all unambiguous interpretation of the quantum mechanical formalism involves the fixation of the external conditions, defining the initial state of the atomic system concerned and the character of the possible predictions as regards subsequent observable properties of that system. Any measuremen ...
... that all unambiguous interpretation of the quantum mechanical formalism involves the fixation of the external conditions, defining the initial state of the atomic system concerned and the character of the possible predictions as regards subsequent observable properties of that system. Any measuremen ...
Gravitational Repulsion within a Black-Hole
... coinciding with the Newtonian world time, accounting for classical as well as quantum relativistic evolution. The world time τ provides a parameter that labels the dynamical evolution of the covariant system. For free on shell motion of a single particle, the Einstein proper time can be taken equal ...
... coinciding with the Newtonian world time, accounting for classical as well as quantum relativistic evolution. The world time τ provides a parameter that labels the dynamical evolution of the covariant system. For free on shell motion of a single particle, the Einstein proper time can be taken equal ...
2.2 Schrödinger`s wave equation
... 2.2 Schrödinger’s wave equation Slides: Video 2.2.1 Schrödinger wave equation introduction Text reference: Quantum Mechanics for Scientists and Engineers Section Chapter 2 introduction ...
... 2.2 Schrödinger’s wave equation Slides: Video 2.2.1 Schrödinger wave equation introduction Text reference: Quantum Mechanics for Scientists and Engineers Section Chapter 2 introduction ...
Notes on time dependence of wavefunctions
... know that the phase velocity for waves of the form (3) is ω/k. But the group velocity can also be calculated in a simple way once we know how ω depends on k. The result is that if we form a wavepacket by adding a collection of pure waves with a narrow range of wavelengths near λ, the group velocity ...
... know that the phase velocity for waves of the form (3) is ω/k. But the group velocity can also be calculated in a simple way once we know how ω depends on k. The result is that if we form a wavepacket by adding a collection of pure waves with a narrow range of wavelengths near λ, the group velocity ...
slides - Mathematics Department
... GRW: The ‘new ortodoxy’ (Bub) claims that superpositions are there but we do not see them due to environmental induced decoherence. We have already analyzed this point. Moreover: many of these people claim that HVThs are ‘ad hoc’ and ‘bad science’. But ignoring that the macro-objectification proble ...
... GRW: The ‘new ortodoxy’ (Bub) claims that superpositions are there but we do not see them due to environmental induced decoherence. We have already analyzed this point. Moreover: many of these people claim that HVThs are ‘ad hoc’ and ‘bad science’. But ignoring that the macro-objectification proble ...
Quantum theory as a method: the epistemic
... ...nor is there “the” observable measured in a given setup,... • ...so there is no such thing as correctly assigning a quantum state. Problem: There is “correct” and “incorrect” in quantum state assignment in practice. Disanalogy between states and observables: States are updated after measurement, ...
... ...nor is there “the” observable measured in a given setup,... • ...so there is no such thing as correctly assigning a quantum state. Problem: There is “correct” and “incorrect” in quantum state assignment in practice. Disanalogy between states and observables: States are updated after measurement, ...
Discussion of Experimental Proof for the Paradox of Einstein, Rosen
... apparatus then forms with an electron for example, a different kind of combined system, not subject to comparison in detail with the system formed by the electron and some other kind of apparatus. Bohr then showed that one can consistently regard the quantum theory as nothing more than a means of ca ...
... apparatus then forms with an electron for example, a different kind of combined system, not subject to comparison in detail with the system formed by the electron and some other kind of apparatus. Bohr then showed that one can consistently regard the quantum theory as nothing more than a means of ca ...
Hidden Variable Theory
... Agnostics refuse to answer the question. Pauli advocated this point of view by saying “One should no more rack one’s brain about the problem of whether something one cannot know anything about exists. . .then about the ancient question of how many angels are able to sit on the point of a needle3 ’. ...
... Agnostics refuse to answer the question. Pauli advocated this point of view by saying “One should no more rack one’s brain about the problem of whether something one cannot know anything about exists. . .then about the ancient question of how many angels are able to sit on the point of a needle3 ’. ...
Hunting for Snarks in Quantum Mechanics
... outside the MaxEnt community. I include him because of his many profound contributions to probability theory and its applications in statistical mechanics and quantum theory.5 The central issue in the debate was famously articulated by EPR: Does quantum mechanics admit an experimentally accessible s ...
... outside the MaxEnt community. I include him because of his many profound contributions to probability theory and its applications in statistical mechanics and quantum theory.5 The central issue in the debate was famously articulated by EPR: Does quantum mechanics admit an experimentally accessible s ...
Quantum Mechanics as Complex Probability Theory
... complex case, Cox's arguments follow as before and the resulting complex probability theory has exactly the same form as (2){(4), only with a complex P . In order to distinguish complex probabilities from the conventional case, an arrow notation is used so that the complex probability that b is true ...
... complex case, Cox's arguments follow as before and the resulting complex probability theory has exactly the same form as (2){(4), only with a complex P . In order to distinguish complex probabilities from the conventional case, an arrow notation is used so that the complex probability that b is true ...
Against `measurement` Physics World
... systems to play the role of 'measurer'? Was the wavefunction of the world waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system . . . with a PhD? If the theory is to apply to anythin ...
... systems to play the role of 'measurer'? Was the wavefunction of the world waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system . . . with a PhD? If the theory is to apply to anythin ...
The Weirdness of Quantum Mechanics
... Large pond Warning: the “classical ‘explanation’” presented on this slide is patently false ...
... Large pond Warning: the “classical ‘explanation’” presented on this slide is patently false ...
Part 18
... The Wave Equation – here comes the math! Mathematically, what are we trying to do? • We need to CONFINE an electron to an atom (i.e., set spatial boundaries) We need to describe the electron’s position using its wave-like properties. • We will have to choose a wavefunction of some kind. (sine? cosin ...
... The Wave Equation – here comes the math! Mathematically, what are we trying to do? • We need to CONFINE an electron to an atom (i.e., set spatial boundaries) We need to describe the electron’s position using its wave-like properties. • We will have to choose a wavefunction of some kind. (sine? cosin ...
The de Broglie-Bohm pilot-wave interpretation
... Omni: Can you replace that with some other sense of order? Bohm: First you have to ask what we mean by order. Everybody has some tacit notion of it, but order itself is impossible to define. Yet it can be illustrated. In a photograph any part of an object is imaged into a point. This point-to-point ...
... Omni: Can you replace that with some other sense of order? Bohm: First you have to ask what we mean by order. Everybody has some tacit notion of it, but order itself is impossible to define. Yet it can be illustrated. In a photograph any part of an object is imaged into a point. This point-to-point ...
On the Problem of Hidden Variables in Quantum Mechanics
... on the hidden variable problem: L. de Broglie, Physicien et Pensemr (Albin Michel, Paris, 1953); W. Heisenberg, in Xiels Bohr and the Development of Physics, W. Pauli, Ed. (McGraw-Hill Book Co. , Inc. , New York, and Pergamon Press, Ltd. , London, 1955); Observation and Interpretation, S. Korner, Ed ...
... on the hidden variable problem: L. de Broglie, Physicien et Pensemr (Albin Michel, Paris, 1953); W. Heisenberg, in Xiels Bohr and the Development of Physics, W. Pauli, Ed. (McGraw-Hill Book Co. , Inc. , New York, and Pergamon Press, Ltd. , London, 1955); Observation and Interpretation, S. Korner, Ed ...
Quantum Mechanics
... Note that the energy in (1) is the total (kinetic plus potential) energy of a quantum-mechanical system (e.g. of a particle), while the zero-level of potential energy could be freely chosen. Note how a change of the zero level of the potential energy by a value U means that the wavefunction gets mul ...
... Note that the energy in (1) is the total (kinetic plus potential) energy of a quantum-mechanical system (e.g. of a particle), while the zero-level of potential energy could be freely chosen. Note how a change of the zero level of the potential energy by a value U means that the wavefunction gets mul ...
On How to Produce Entangled States Violating Bell’s Inequalities in... Apoorva Patel Dx by discretising the time interval:
... sum over all paths connecting the fixed initial and final states; such a sum over paths is inherently a non-local object [4]. exp[ h¯i S(x(t))] is the statistical weight of the path x(t) which depends on the interaction amongst the particles in the system. It is well-known that the typical paths con ...
... sum over all paths connecting the fixed initial and final states; such a sum over paths is inherently a non-local object [4]. exp[ h¯i S(x(t))] is the statistical weight of the path x(t) which depends on the interaction amongst the particles in the system. It is well-known that the typical paths con ...
Objects, Events and Localization
... the superposition principle as mentioned at the beginning. The latter concern the problem of divisibility of nature, the title of Heisenberg's last book: \The part and the Whole". The philosophical question has no bearing on what is actually done and achieved in physics. The physicist proceeds from ...
... the superposition principle as mentioned at the beginning. The latter concern the problem of divisibility of nature, the title of Heisenberg's last book: \The part and the Whole". The philosophical question has no bearing on what is actually done and achieved in physics. The physicist proceeds from ...