Introduction to quantum mechanics
... constant, then the wavefunction isn’t characterized by a unique wavenumber. So a function of the form eikx doesn’t work as a solution for ψ(x). (A Fourier superposition can certainly work, since any function can be expressed that way, but a single eikx by itself doesn’t work.) This is similar to the ...
... constant, then the wavefunction isn’t characterized by a unique wavenumber. So a function of the form eikx doesn’t work as a solution for ψ(x). (A Fourier superposition can certainly work, since any function can be expressed that way, but a single eikx by itself doesn’t work.) This is similar to the ...
- EPJ Web of Conferences
... deformations of the equation may also yield beautiful and interesting results. But which deformation should we consider? One alteration that can be made is to reconsider the equation in dimensions different from the three spatial and one time dimension. If we take fewer dimensions we gain the mathema ...
... deformations of the equation may also yield beautiful and interesting results. But which deformation should we consider? One alteration that can be made is to reconsider the equation in dimensions different from the three spatial and one time dimension. If we take fewer dimensions we gain the mathema ...
Quantum Computing and Quantum Topology
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
Fractional topological insulators
... • We need to insert the flux needed to bring each edge back to the topological sector from which it started. ...
... • We need to insert the flux needed to bring each edge back to the topological sector from which it started. ...
Chapter 37 - Semiclassical quantization
... Spectral determinants and dynamical zeta functions arise both in classical and quantum mechanics because in both the dynamical evolution can be described by the action of linear evolution operators on infinite-dimensional vector spaces. In quantum mechanics the periodic orbit theory arose from studi ...
... Spectral determinants and dynamical zeta functions arise both in classical and quantum mechanics because in both the dynamical evolution can be described by the action of linear evolution operators on infinite-dimensional vector spaces. In quantum mechanics the periodic orbit theory arose from studi ...
Anderson transition ???????? Critical Statistics
... are universally described by random matrix theory. With the help of the one parameter scaling theory we propose an alternative characterization of this universality class. It is also identified the universality class associated to the metal-insulator transition. In low dimensions it is characterized ...
... are universally described by random matrix theory. With the help of the one parameter scaling theory we propose an alternative characterization of this universality class. It is also identified the universality class associated to the metal-insulator transition. In low dimensions it is characterized ...
Two types of potential functions and their use in the
... relation is transitive and asymmetric. This paper will not pretend to be at a level of rigor which has been attained in economics based preference theory. Examples of such rigor abound in the various expected utility frameworks, and some papers in this special issue will be devoted to probing how de ...
... relation is transitive and asymmetric. This paper will not pretend to be at a level of rigor which has been attained in economics based preference theory. Examples of such rigor abound in the various expected utility frameworks, and some papers in this special issue will be devoted to probing how de ...
Conservation of the nonlinear curvature perturbation in generic
... • From the study by LMS, we know that if P is a function of ρ, curvature perturbation is conserved on uniform energy density slice regardless of gravity theory. ...
... • From the study by LMS, we know that if P is a function of ρ, curvature perturbation is conserved on uniform energy density slice regardless of gravity theory. ...
neeman.pdf
... of the game were clarified by L. Corwin, Y. Ne’eman and S. Sternberg [6], who also explored the field and collected examples – and by P.G.O. Freund and I. Kaplansky [7]. Finally, V. Kac classified the (finite) Lie superalgebras [8], while S. Deser and B. Zumino [9] simultaneously with D.Z. Freedman, S, ...
... of the game were clarified by L. Corwin, Y. Ne’eman and S. Sternberg [6], who also explored the field and collected examples – and by P.G.O. Freund and I. Kaplansky [7]. Finally, V. Kac classified the (finite) Lie superalgebras [8], while S. Deser and B. Zumino [9] simultaneously with D.Z. Freedman, S, ...
Quantum Potential - Fondation Louis de Broglie
... only by appealing to some symmetry arguments about the wave function itself [5],[6]. In this view, the only property of Bohm’s particle is its position. This position evolves with time, according to (7). The wave function is responsible for the evolution of particle’s position with time. It seems th ...
... only by appealing to some symmetry arguments about the wave function itself [5],[6]. In this view, the only property of Bohm’s particle is its position. This position evolves with time, according to (7). The wave function is responsible for the evolution of particle’s position with time. It seems th ...
An introduction to topological phases of electrons
... 1, γ2 is traced opposite its original direction (now you can see why piecewise smooth paths are needed if one wants to be rigorous). Then this integral is nonzero, which contradicts (b). It remains to show that (a) implies (c). Define g(x, y) as equal to 0 at (0, 0), or some other reference point in ...
... 1, γ2 is traced opposite its original direction (now you can see why piecewise smooth paths are needed if one wants to be rigorous). Then this integral is nonzero, which contradicts (b). It remains to show that (a) implies (c). Define g(x, y) as equal to 0 at (0, 0), or some other reference point in ...
The Maximal Invariance Group of Newton's Equations for a Free Point Particle
... as x/t⫽v0 ⫹x0 /t. In this representation t is replaced by 1/t, lengths are scaled by a factor proportional to time, and the initial position and velocity are interchanged; but the important point is that the trajectory remains a straight line. Hence, the new variables x/t, 1/t satisfy the same equat ...
... as x/t⫽v0 ⫹x0 /t. In this representation t is replaced by 1/t, lengths are scaled by a factor proportional to time, and the initial position and velocity are interchanged; but the important point is that the trajectory remains a straight line. Hence, the new variables x/t, 1/t satisfy the same equat ...
Quantum vacuum in de Sitter spacetime
... Due to the high symmetry numerous physical problems are exactly solvable on dS background and a Better understanding of physical effects in this bulk could serve as a handle to deal with more complicated geometries In most inflationary models an approximately dS spacetime is employed to solve a numb ...
... Due to the high symmetry numerous physical problems are exactly solvable on dS background and a Better understanding of physical effects in this bulk could serve as a handle to deal with more complicated geometries In most inflationary models an approximately dS spacetime is employed to solve a numb ...
Lüders Rule1 The Lüders rule describes a change - Philsci
... goes the transformation T 7→ IRL (T ) = i Pi T Pi = i tr [T Pi ]Tei , the projection postulate then saying that if ak is the actual measurement result, this state collapses to Tek . Lüders measurements offer an important characterization of the compatibility of observables A, B with discrete spectra ...
... goes the transformation T 7→ IRL (T ) = i Pi T Pi = i tr [T Pi ]Tei , the projection postulate then saying that if ak is the actual measurement result, this state collapses to Tek . Lüders measurements offer an important characterization of the compatibility of observables A, B with discrete spectra ...
Relation Between Schrödinger and Polymer Quantum Mechanics
... The only thing possible: approximate the non-existing term by a well defined function that can be quantized and hope for the best. Let us chose the position to be discrete, so p̂ does not exist. With this choice, the kinetic term p̂2/2m has to be approximated, for any potential. How is this done? Th ...
... The only thing possible: approximate the non-existing term by a well defined function that can be quantized and hope for the best. Let us chose the position to be discrete, so p̂ does not exist. With this choice, the kinetic term p̂2/2m has to be approximated, for any potential. How is this done? Th ...
THE DISCOVERY OF ASYMPTOTIC FREEDOM AND THE EMERGENCE OF QCD
... conference of 1972, Murray Gell-Mann ended his talk on quarks with the summary: “Let us end by emphasizing our main point, that it may well be possible to construct an explicit theory of hadrons, based on quarks and some kind of glue, treated as fictitious, but with enough physical properties abstra ...
... conference of 1972, Murray Gell-Mann ended his talk on quarks with the summary: “Let us end by emphasizing our main point, that it may well be possible to construct an explicit theory of hadrons, based on quarks and some kind of glue, treated as fictitious, but with enough physical properties abstra ...
Hydrogen 1
... Laguerre equation after Edmund Nicolas Laguerre (1834 - 1886) who was the first to solve it. The solutions are called the Associated Laguerre Functions Rn,l(r), and they depend on two quantum numbers n and l. Let us look at the solutions in the special case where l = 0 (no angular momentum). In this ...
... Laguerre equation after Edmund Nicolas Laguerre (1834 - 1886) who was the first to solve it. The solutions are called the Associated Laguerre Functions Rn,l(r), and they depend on two quantum numbers n and l. Let us look at the solutions in the special case where l = 0 (no angular momentum). In this ...