
January 20, 2004 9:50 WSPC/140-IJMPB 02353
... The aim of this article is to present a simple, pedagogical and unified derivation of the spin current for both models. The derivation of Murakami et al.6,7 emphasizes on the momentum space topology which requires some advanced mathematical knowledge. The semi-classical derivations presented in Refs ...
... The aim of this article is to present a simple, pedagogical and unified derivation of the spin current for both models. The derivation of Murakami et al.6,7 emphasizes on the momentum space topology which requires some advanced mathematical knowledge. The semi-classical derivations presented in Refs ...
around the notion of state and the superposition principle en torno a
... quantum mechanics giving the possibility of develop a different pedagogical and didactic practice than the usual. Keywords: context classical, context quantum, teaching, state, superposition principle. 1. Introduction Traditionally cut Newtonian mechanics is considered the gateway to physics and his ...
... quantum mechanics giving the possibility of develop a different pedagogical and didactic practice than the usual. Keywords: context classical, context quantum, teaching, state, superposition principle. 1. Introduction Traditionally cut Newtonian mechanics is considered the gateway to physics and his ...
quadratic_applications_packet
... 3) At a pep rally, cheerleaders use a slingshot to launch small, foam basketballs into the crowd. The release point is 5 ft above the gym floor, and the balls are shot with an initial upward velocity of 52 ft/s. Suppose a ball is caught 17 ft above the floor on its way down by a student in the stand ...
... 3) At a pep rally, cheerleaders use a slingshot to launch small, foam basketballs into the crowd. The release point is 5 ft above the gym floor, and the balls are shot with an initial upward velocity of 52 ft/s. Suppose a ball is caught 17 ft above the floor on its way down by a student in the stand ...
Development of semi-classical and quantum tools for the
... smaller and faster devices. Therefore, the simulations tools needed to be able, to understand the behavior of emerging electron devices and to improve them, have to be reinvented for each new generation of devices. The International Technology Roadmap for Semiconductors predicts that, in ten years, ...
... smaller and faster devices. Therefore, the simulations tools needed to be able, to understand the behavior of emerging electron devices and to improve them, have to be reinvented for each new generation of devices. The International Technology Roadmap for Semiconductors predicts that, in ten years, ...
Intensities of analogous Rydberg series in CF3Cl, CF3Br and in
... Rydberg series is fairly constant. In this form, we have been able to predict intensities for transitions which have not been observed experimentally. Table 2 displays the quantum defects for the different Rydberg series of the four studied species. Those corresponding to the molecules were derived f ...
... Rydberg series is fairly constant. In this form, we have been able to predict intensities for transitions which have not been observed experimentally. Table 2 displays the quantum defects for the different Rydberg series of the four studied species. Those corresponding to the molecules were derived f ...
Three Myths About Time Reversal in Quantum Theory 1. Introduction
... 2. First Stage: Time reversal is unitary or antiunitary 2.1. Wigner’s theorem. Wigner’s theorem is one of the central results of modern quantum theory, first presented by Wigner (1931). The theorem is often glossed as showing that any transformation A : H → H on a separable Hilbert space that deserv ...
... 2. First Stage: Time reversal is unitary or antiunitary 2.1. Wigner’s theorem. Wigner’s theorem is one of the central results of modern quantum theory, first presented by Wigner (1931). The theorem is often glossed as showing that any transformation A : H → H on a separable Hilbert space that deserv ...
Outline of section 5
... The simultaneous eigenfunctions of L2 and Lz do not correspond to definite values of Lx and Ly, because these operators do not commute with Lz. We can show, however, that the expectation value of Lx and Ly is zero for the functions f(θ,φ). ...
... The simultaneous eigenfunctions of L2 and Lz do not correspond to definite values of Lx and Ly, because these operators do not commute with Lz. We can show, however, that the expectation value of Lx and Ly is zero for the functions f(θ,φ). ...
The Structure of a Quantum World - Philsci
... structure that isn’t really required) and consider the space-time structure needed to formulate the laws in this way. We then infer that this structure exists in a world governed by those laws. If the laws cannot be formulated without referring to some structure, then plausibly the structure must ex ...
... structure that isn’t really required) and consider the space-time structure needed to formulate the laws in this way. We then infer that this structure exists in a world governed by those laws. If the laws cannot be formulated without referring to some structure, then plausibly the structure must ex ...
353, 216 (2006) .
... are set as μ = T = 1. With three different coherent states of the parameters (φ, cos θ ) = (0.25, 0.04), (4.97, −0.2), and (4.91, −0.9), respectively, we then calculate the temporal behavior of the fidelity numerically by solving the operator equations (2), (3) with the standard FFT method. The resu ...
... are set as μ = T = 1. With three different coherent states of the parameters (φ, cos θ ) = (0.25, 0.04), (4.97, −0.2), and (4.91, −0.9), respectively, we then calculate the temporal behavior of the fidelity numerically by solving the operator equations (2), (3) with the standard FFT method. The resu ...
L z
... The simultaneous eigenfunctions of L2 and Lz do not correspond to definite values of Lx and Ly, because these operators do not commute with Lz. We can show, however, that the expectation value of Lx and Ly is zero for the functions f(θ,φ). ...
... The simultaneous eigenfunctions of L2 and Lz do not correspond to definite values of Lx and Ly, because these operators do not commute with Lz. We can show, however, that the expectation value of Lx and Ly is zero for the functions f(θ,φ). ...
Quantum Mathematics Table of Contents
... The fundamental insight of Schrödinger’s approach to quantum mechanics was that the quantum mechanical counterparts to the equations of classical mechanics are most easily found by writing the latter in Hamiltonian form. Indeed, Hamilton himself could, in direct analogy with the correspondence betw ...
... The fundamental insight of Schrödinger’s approach to quantum mechanics was that the quantum mechanical counterparts to the equations of classical mechanics are most easily found by writing the latter in Hamiltonian form. Indeed, Hamilton himself could, in direct analogy with the correspondence betw ...
How to Construct Quantum Random Functions
... Goldreich, Goldwasser, and Micali show how to build a pseudorandom function PRF from any length-doubling pseudorandom generator G. This construction is known as the GGM construction. Pseudorandom generators can, in turn, be built from any one-way function, as shown by Håstad et al. [HILL99]. The se ...
... Goldreich, Goldwasser, and Micali show how to build a pseudorandom function PRF from any length-doubling pseudorandom generator G. This construction is known as the GGM construction. Pseudorandom generators can, in turn, be built from any one-way function, as shown by Håstad et al. [HILL99]. The se ...
School of Physics & Astronomy
... This module develops the physics of stellar interiors and atmospheres from the basic equations of stellar structure introduced in AS2001. Topics include: the equation of state that provides pressure support at the high temperatures and densities found in normal and white-dwarf stars; the interaction ...
... This module develops the physics of stellar interiors and atmospheres from the basic equations of stellar structure introduced in AS2001. Topics include: the equation of state that provides pressure support at the high temperatures and densities found in normal and white-dwarf stars; the interaction ...
Effects of photonic structures on upconversion
... The likelihood of the different transitions is determined by the corresponding Einstein coefficients which have been determined experimentally23. We now modify these Einstein coefficients by the change factors for the different transitions γif for the transition from the initial to the final state a ...
... The likelihood of the different transitions is determined by the corresponding Einstein coefficients which have been determined experimentally23. We now modify these Einstein coefficients by the change factors for the different transitions γif for the transition from the initial to the final state a ...
Quantum Computation - Bard College at Simon`s Rock
... ceases to be of concern. The simplest such system, and also the one taken to be the fundamental building block for quantum computing, is when V = C2 . Such a system has two basis vectors, usually denoted |0i and |1i, and is called a qubit. The previous postulate places a restriction on how we may de ...
... ceases to be of concern. The simplest such system, and also the one taken to be the fundamental building block for quantum computing, is when V = C2 . Such a system has two basis vectors, usually denoted |0i and |1i, and is called a qubit. The previous postulate places a restriction on how we may de ...
A - Basics of electronic structure and Molecular bounding (Diatomic
... The MO-LCAO picture does not reproduce the kinetic and potential energy distributions although this model provides a qualitative description of the bonding. The correct density, which is also shown in Figure 1.2 is also higher near the nuclei than close to the atom. Implementation of this density re ...
... The MO-LCAO picture does not reproduce the kinetic and potential energy distributions although this model provides a qualitative description of the bonding. The correct density, which is also shown in Figure 1.2 is also higher near the nuclei than close to the atom. Implementation of this density re ...
IOSR Journal of Applied Physics (IOSRJAP)
... we know as ―space‖ and ―time‖ because this aspect seems to exist constantly and changelessly throughout the cosmos and also throughout the past, present and future; and (2) it also has a granular or particle aspect which we know as ―matter‖ and ―force‖ because in this aspect the quantum field appear ...
... we know as ―space‖ and ―time‖ because this aspect seems to exist constantly and changelessly throughout the cosmos and also throughout the past, present and future; and (2) it also has a granular or particle aspect which we know as ―matter‖ and ―force‖ because in this aspect the quantum field appear ...
Musical Mathematics: The Mathematics of Equal Temperament
... math more meaningful, but I have always been at a loss as to how to do this – so I decided to use my master's project as an opportunity to explore this elusive connection. As I was mentally gearing up for my project, my oldest son began playing violin – an extracurricular activity we stumbled upon t ...
... math more meaningful, but I have always been at a loss as to how to do this – so I decided to use my master's project as an opportunity to explore this elusive connection. As I was mentally gearing up for my project, my oldest son began playing violin – an extracurricular activity we stumbled upon t ...
Renormalization group

In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.