Applied Bohmian mechanics

... After these two sets of examples on Bohmian applications, in Section 4, we discuss the original routes, i.e. the formalism, opened by the Bohmian theory. For example, the trajectories can be computed from the Schrödinger or from the Hamilton-Jacobi equations. See the mathematical diﬀerences in Sect ...

... After these two sets of examples on Bohmian applications, in Section 4, we discuss the original routes, i.e. the formalism, opened by the Bohmian theory. For example, the trajectories can be computed from the Schrödinger or from the Hamilton-Jacobi equations. See the mathematical diﬀerences in Sect ...

Quantum_doc

... psib, or psik, where b and k stand for bra and ket wavefunctions; these are all complex vectors, using the Cn.c complex style. They also always require xr to be a real vector of corresponding x values and n to be the number of real values in xr and the number of complex values in psi. Where units ar ...

... psib, or psik, where b and k stand for bra and ket wavefunctions; these are all complex vectors, using the Cn.c complex style. They also always require xr to be a real vector of corresponding x values and n to be the number of real values in xr and the number of complex values in psi. Where units ar ...

Quantum Mechanics as Quantum Information (and only a little more)

... Our foremost task should be to go to each and every axiom of quantum theory and give it an information theoretic justiﬁcation if we can. Only when we are ﬁnished picking oﬀ all the terms (or combinations of terms) that can be interpreted as subjective information will we be in a position to make rea ...

... Our foremost task should be to go to each and every axiom of quantum theory and give it an information theoretic justiﬁcation if we can. Only when we are ﬁnished picking oﬀ all the terms (or combinations of terms) that can be interpreted as subjective information will we be in a position to make rea ...

Quantum Mechanics as Quantum Information

... Our foremost task should be to go to each and every axiom of quantum theory and give it an information theoretic justification if we can. Only when we are finished picking off all the terms (or combinations of terms) that can be interpreted as subjective information will we be in a position to make ...

... Our foremost task should be to go to each and every axiom of quantum theory and give it an information theoretic justification if we can. Only when we are finished picking off all the terms (or combinations of terms) that can be interpreted as subjective information will we be in a position to make ...

Heisenberg (and Schrödinger, and Pauli) on Hidden - Hal-SHS

... In modern discussions, one normally distinguishes between two notions of hidden variables: non-contextual and contextual ones. Non-contextual hidden variables are those that fix values or probabilities or expectation values for all quantum mechanical observables, independent of any experimental cont ...

... In modern discussions, one normally distinguishes between two notions of hidden variables: non-contextual and contextual ones. Non-contextual hidden variables are those that fix values or probabilities or expectation values for all quantum mechanical observables, independent of any experimental cont ...

Matrix Mechanics and Wave Mechanics - Philsci

... observed phenomena, such as the occurrence of spectral lines of different intensities, and attempted to reduce them to essentially corpuscular properties. Schrödinger perceived the field-like continuity of some key micro-physical phenomena (e.g., those related to the double-slit experiments), as the ...

... observed phenomena, such as the occurrence of spectral lines of different intensities, and attempted to reduce them to essentially corpuscular properties. Schrödinger perceived the field-like continuity of some key micro-physical phenomena (e.g., those related to the double-slit experiments), as the ...

The de Broglie Wave as Evidence of a Deeper Wave Structure

... outruns. And despite the utility of the wave function, there has been much debate as to what it actually means. In his report to the Solvay Conference of 1927, Schrödinger observed that this “ -function” seems to describe, not a single trajectory, but a “snapshot .... with the camera shutter open” o ...

... outruns. And despite the utility of the wave function, there has been much debate as to what it actually means. In his report to the Solvay Conference of 1927, Schrödinger observed that this “ -function” seems to describe, not a single trajectory, but a “snapshot .... with the camera shutter open” o ...

Lecture, Week 1: September 27th - October 3rd, 1999 Outline 1

... physicists believe may give mass to particles. The Standard Model does not include a description of gravity, which in the atomic realm is much weaker than the other forces. Another odd feature of quantum particle/waves is quantum entanglement. If two quantum partices are coupled but then go their se ...

... physicists believe may give mass to particles. The Standard Model does not include a description of gravity, which in the atomic realm is much weaker than the other forces. Another odd feature of quantum particle/waves is quantum entanglement. If two quantum partices are coupled but then go their se ...

What the Humean Should Say About Entanglement

... The Humean is apparently, therefore, faced with the following problem. If she wants an adequate account of the physical world, she needs to take seriously entanglement phenomena, like the Singlet state, and the predictions associated with such phenomena. However, to do so she will have to admit that ...

... The Humean is apparently, therefore, faced with the following problem. If she wants an adequate account of the physical world, she needs to take seriously entanglement phenomena, like the Singlet state, and the predictions associated with such phenomena. However, to do so she will have to admit that ...

Von Neumann`s Impossibility Proof: Mathematics in - Philsci

... Von Neumann’s book “Mathematische Grundlagen der Quantenmechanik” (Mathematical Foundations of Quantum Mechanics)[24], published in 1932, is widely acclaimed as a milestone in the history of quantum mechanics. It is a pioneering work that, among other accomplishments, first introduced Hilbert space ...

... Von Neumann’s book “Mathematische Grundlagen der Quantenmechanik” (Mathematical Foundations of Quantum Mechanics)[24], published in 1932, is widely acclaimed as a milestone in the history of quantum mechanics. It is a pioneering work that, among other accomplishments, first introduced Hilbert space ...

Topological Quantum: Lecture Notes

... If you have two complicated knots and you do not know if they are topologically equivalent, you just plug them into the Kauffman machinery and if they don’t give the same output then you know immediately that they cannot be deformed into each other without cutting4 . However, a bit of thought indica ...

... If you have two complicated knots and you do not know if they are topologically equivalent, you just plug them into the Kauffman machinery and if they don’t give the same output then you know immediately that they cannot be deformed into each other without cutting4 . However, a bit of thought indica ...

Ockham`s razor and the interpretations of quantum mechanics

... The interpretations of Quantum Mechanics are up to now matter of philosophicalphysical debates. One philosophical concept that is often stressed during debates about interpretational issues in Quantum Mechanics is Ockham's 1 razor, or the principle of parsimony. Gu et al. [2011] give a good example ...

... The interpretations of Quantum Mechanics are up to now matter of philosophicalphysical debates. One philosophical concept that is often stressed during debates about interpretational issues in Quantum Mechanics is Ockham's 1 razor, or the principle of parsimony. Gu et al. [2011] give a good example ...

Chapter 1 - BYU Physics and Astronomy

... which each have ½ the energy of their progenitor. The daughter photons go off in two different predictable directions, but each carries with it a trait that is linked inexorably to ...

... which each have ½ the energy of their progenitor. The daughter photons go off in two different predictable directions, but each carries with it a trait that is linked inexorably to ...

The statistical interpretation according to Born and Heisenberg

... interpretation we shall find in Born and Heisenberg’s Solvay report. For instance, the requirement that the state of an isolated system be always a stationary state is unfamiliar, to say the least. (As we shall see, it is eventually relaxed in Born and Heisenberg’s report.) For now let us focus on ...

... interpretation we shall find in Born and Heisenberg’s Solvay report. For instance, the requirement that the state of an isolated system be always a stationary state is unfamiliar, to say the least. (As we shall see, it is eventually relaxed in Born and Heisenberg’s report.) For now let us focus on ...

Pure Wave Mechanics and the Very Idea of Empirical Adequacy

... nor S even has a determinate quantum mechanical state of its own. Everett argues that since A and B make incompatible state attributions to A + S, the standard collapse theory yields a straightforward contradiction. While it might, in practice, be extraordinarily difficult for B to make a measuremen ...

... nor S even has a determinate quantum mechanical state of its own. Everett argues that since A and B make incompatible state attributions to A + S, the standard collapse theory yields a straightforward contradiction. While it might, in practice, be extraordinarily difficult for B to make a measuremen ...

Quantum Mechanics

... As a result, a theory has emerged whose basic principles can be used to explain not only the structure and properties of atoms, molecules and solids, but also those of nuclei and of ‘elementary’ particles such as the proton and neutron. Although there are still many features of the physics of such s ...

... As a result, a theory has emerged whose basic principles can be used to explain not only the structure and properties of atoms, molecules and solids, but also those of nuclei and of ‘elementary’ particles such as the proton and neutron. Although there are still many features of the physics of such s ...

Quantum many-particle electron transport in time-dependent systems with Bohmian trajectories by Alfonso Alarc´

... Schematic representation of the I-V curve of a typical RTD. The resonant energy inside the quantum well acts like an energetic filter that lets the electrons from the source to arrive at the drain. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . RTD Current-voltage characte ...

... Schematic representation of the I-V curve of a typical RTD. The resonant energy inside the quantum well acts like an energetic filter that lets the electrons from the source to arrive at the drain. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . RTD Current-voltage characte ...

4. Non-Abelian Quantum Hall States

... If m is even, then the underlying electron was a fermion. Attaching an even number of vortices leaves it as a fermion. In contrast, if m was odd then the underlying “electron” was a boson. Attaching an odd number of vortices now turns it into a fermion. Either, way, the combined object of electron + ...

... If m is even, then the underlying electron was a fermion. Attaching an even number of vortices leaves it as a fermion. In contrast, if m was odd then the underlying “electron” was a boson. Attaching an odd number of vortices now turns it into a fermion. Either, way, the combined object of electron + ...

Do we really understand quantum mechanics?

... about the birth of quantum mechanics: he is the one who introduced the famous constant h, which now bears his name, even if his method was phenomenological. His motivation was actually to explain the properties of the radiation in thermal equilibrium (black body radiation) by introducing the notion ...

... about the birth of quantum mechanics: he is the one who introduced the famous constant h, which now bears his name, even if his method was phenomenological. His motivation was actually to explain the properties of the radiation in thermal equilibrium (black body radiation) by introducing the notion ...

- Philsci

... may be expressed as a linear combination of eigenstates of the observable O of the system that we are interested in (i.e. n = ci i); and a measuring device in Wa = n wn P[m]. Throughout the paper I refer to the observable represented by the operator I A, as well as that represented by A, as ...

... may be expressed as a linear combination of eigenstates of the observable O of the system that we are interested in (i.e. n = ci i); and a measuring device in Wa = n wn P[m]. Throughout the paper I refer to the observable represented by the operator I A, as well as that represented by A, as ...

p15_11_6.pdf

... for the spin-summed singlet case, where nj ðr; tÞ are natural orbitals. The N-representability conditions are that 0 gj 2, P and j gj 5N. (For the spin-resolved case, the first condition becomes 0 gj 1). The 1RDM should be positive semidefinite, with trace equal N, and each eigenvalue bounde ...

... for the spin-summed singlet case, where nj ðr; tÞ are natural orbitals. The N-representability conditions are that 0 gj 2, P and j gj 5N. (For the spin-resolved case, the first condition becomes 0 gj 1). The 1RDM should be positive semidefinite, with trace equal N, and each eigenvalue bounde ...

Models of wave-function collapse

... the Schrödinger equation to the Hamilton-Jacobi equation, nowhere did we encounter probabilities. And for good reason: Because the initial state is always exactly specified [including at the start of the measurement process, as in Eq. (8)], unlike in classical probability theory, where probabiliti ...

... the Schrödinger equation to the Hamilton-Jacobi equation, nowhere did we encounter probabilities. And for good reason: Because the initial state is always exactly specified [including at the start of the measurement process, as in Eq. (8)], unlike in classical probability theory, where probabiliti ...

Hidden Variables and Nonlocality in Quantum Mechanics

... In the present work, the hidden variables issue is addressed in the following ways. We first discuss the earliest analysis of hidden variables—that of von Neumann’s theorem—and review John S. Bell’s refutation of von Neumann’s ‘impossibility proof’. We recall and elaborate on Bell’s arguments regard ...

... In the present work, the hidden variables issue is addressed in the following ways. We first discuss the earliest analysis of hidden variables—that of von Neumann’s theorem—and review John S. Bell’s refutation of von Neumann’s ‘impossibility proof’. We recall and elaborate on Bell’s arguments regard ...

Finding ordinary objects in some quantum worlds

... H. There is nothing more to the world beyond the facts that constitute the wavefunction and govern its evolution. There is, for example, no further location relation assigning each particle to a point of space at each time.6 If there is any sense in which particles at a H-world can be described as h ...

... H. There is nothing more to the world beyond the facts that constitute the wavefunction and govern its evolution. There is, for example, no further location relation assigning each particle to a point of space at each time.6 If there is any sense in which particles at a H-world can be described as h ...

PDF

... dynamic quantity. In fact, I will refer to it as the standard understanding of quantum states, as I believe it to be established in the literature. There are two reasons, however, why I want to resist Stein’s conclusion. The first is that the ignorance interpretation of mixtures is not strictly requ ...

... dynamic quantity. In fact, I will refer to it as the standard understanding of quantum states, as I believe it to be established in the literature. There are two reasons, however, why I want to resist Stein’s conclusion. The first is that the ignorance interpretation of mixtures is not strictly requ ...