msc_f_p1b2 - Bhoj University
... Here we have expressed vectors r, p and L in their components along the Cartesian axes. We have also used the orthogonal properties of vectors viz., i x i = j x j = k x k = 0 ; i x j = k, j x k = i, k x i = j and j x i= - k etc. Let us concentrate on the z-component of angular momentum (equating coe ...
... Here we have expressed vectors r, p and L in their components along the Cartesian axes. We have also used the orthogonal properties of vectors viz., i x i = j x j = k x k = 0 ; i x j = k, j x k = i, k x i = j and j x i= - k etc. Let us concentrate on the z-component of angular momentum (equating coe ...
Electronic transport in graphene nanostructures on SiO
... suppression is indicative of strong localization in the ribbon. This gate-voltage range, gray-shaded in the figure, is called the transport gap. It has been found in other experiments that the transport gap depends only weakly on the ribbon length [38], but is inversely proportional to the ribbon wid ...
... suppression is indicative of strong localization in the ribbon. This gate-voltage range, gray-shaded in the figure, is called the transport gap. It has been found in other experiments that the transport gap depends only weakly on the ribbon length [38], but is inversely proportional to the ribbon wid ...
Single-exciton spectroscopy of single Mn doped InAs quantum dots
... acceptor state, considered by Climente et al.,25 would yield different results incompatible with the experiments of Kudelski et al.,8 as discussed below. The cubic symmetry of the ideal crystal and the presence of quantum confinement and strain result in additional terms in the Hamiltonian, which ne ...
... acceptor state, considered by Climente et al.,25 would yield different results incompatible with the experiments of Kudelski et al.,8 as discussed below. The cubic symmetry of the ideal crystal and the presence of quantum confinement and strain result in additional terms in the Hamiltonian, which ne ...
Exponential algorithmic speedup by quantum walk Andrew M. Childs, Richard Cleve, Enrico Deotto,
... We now describe how the graphs Gn are modified so that they cannot be traversed efficiently with a classical algorithm. We choose a graph G′n at random from a particular distribution on graphs. A typical graph G′n is shown in Figure 2 (for n = 4). The distribution is defined as follows. The graph ag ...
... We now describe how the graphs Gn are modified so that they cannot be traversed efficiently with a classical algorithm. We choose a graph G′n at random from a particular distribution on graphs. A typical graph G′n is shown in Figure 2 (for n = 4). The distribution is defined as follows. The graph ag ...
Multiphoton population transfer in systems violating the classical twist condition: A... study of separatrix crossing in phase space
... studied multiphoton population transfer scheme would work in such a system to transfer population between classical actions separated by the shearless curve in phase space is the question we will investigate in this paper. Beyond magnetic reconnection, the nontwist condition may also be induced in a ...
... studied multiphoton population transfer scheme would work in such a system to transfer population between classical actions separated by the shearless curve in phase space is the question we will investigate in this paper. Beyond magnetic reconnection, the nontwist condition may also be induced in a ...
Quantum Thermodynamics - Open Research Exeter
... a few particles translate into a statistical theory from which new macroscopic quantum thermodynamic laws emerge. This challenge is addressed by the emerging field of quantum thermodynamics which has grown rapidly over the last decade. It is fuelled by recent equilibration experiments [1] in cold at ...
... a few particles translate into a statistical theory from which new macroscopic quantum thermodynamic laws emerge. This challenge is addressed by the emerging field of quantum thermodynamics which has grown rapidly over the last decade. It is fuelled by recent equilibration experiments [1] in cold at ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.