Quantum scattering
... In this way, for any finite value of the radius R of the box, we have mapped our scattering system into a bound system with a spectral density d(E; R) over discrete eigenenergies En (R). It is therefore important that our scattering potential was chosen to be short-ranged to start with. (Which expla ...
... In this way, for any finite value of the radius R of the box, we have mapped our scattering system into a bound system with a spectral density d(E; R) over discrete eigenenergies En (R). It is therefore important that our scattering potential was chosen to be short-ranged to start with. (Which expla ...
Get PDF - OSA Publishing
... Y numerically. One can identify that the intersections of X and Y are the zeros of R. However, for the case of K = k0 , R is not zero, but unity. This is because for this particular choice, the denominator of R is also zero. Therefore, one can not determine R only from the numerator. The limit of R ...
... Y numerically. One can identify that the intersections of X and Y are the zeros of R. However, for the case of K = k0 , R is not zero, but unity. This is because for this particular choice, the denominator of R is also zero. Therefore, one can not determine R only from the numerator. The limit of R ...
Quantum Einstein-de Haas effect
... Finally, we consider the magnetization dynamics of the TbPc2 SMM coupled to the carbon nanotube resonator as a function of temperature. As a matter of fact, additional phonon modes can be excited in the carbon nanotube resonator at higher temperatures and it has been demonstrated that tunnelling pro ...
... Finally, we consider the magnetization dynamics of the TbPc2 SMM coupled to the carbon nanotube resonator as a function of temperature. As a matter of fact, additional phonon modes can be excited in the carbon nanotube resonator at higher temperatures and it has been demonstrated that tunnelling pro ...
Chapter 6 Electronic Structure of Atoms
... Plot of 2 for hydrogen atom. The closest thing we now have to a physical picture of an electron. ...
... Plot of 2 for hydrogen atom. The closest thing we now have to a physical picture of an electron. ...
Quantum Information Processing through Nuclear Magnetic
... which ρε is separable. Generalization for arbitrary number of qubits, N, leads to ε ≤ 1/4N . On another hand, since typically ε ≈ 10−5 in bulk NMR experiments, at room temperature, the authors conclude that not less than 13 qubits would be necessary in order to get out of the separability region, wi ...
... which ρε is separable. Generalization for arbitrary number of qubits, N, leads to ε ≤ 1/4N . On another hand, since typically ε ≈ 10−5 in bulk NMR experiments, at room temperature, the authors conclude that not less than 13 qubits would be necessary in order to get out of the separability region, wi ...
M. Shiga and W. Shinoda, heat capacity of water from quantum nuclear dynamics
... RDF is in reasonable agreement with the experiment31–33 not only for the liquid phase but also for the ice phase. However, it is hard to tell only from this result whether the RDF is improved when changing from classical simulation to quantum simulation. Thus, this kind of delicate argument in the R ...
... RDF is in reasonable agreement with the experiment31–33 not only for the liquid phase but also for the ice phase. However, it is hard to tell only from this result whether the RDF is improved when changing from classical simulation to quantum simulation. Thus, this kind of delicate argument in the R ...
Imaging electrostatically confined Dirac fermions in graphene
... distribution (Fig. 4b) closely resembles the experimental eigenstate distribution (Fig. 4a). Both have a characteristic parabolic envelope due to the confinement potential, as well as a complex set of interior nodal patterns. The characteristic energy spacing seen experimentally is in good agreement ...
... distribution (Fig. 4b) closely resembles the experimental eigenstate distribution (Fig. 4a). Both have a characteristic parabolic envelope due to the confinement potential, as well as a complex set of interior nodal patterns. The characteristic energy spacing seen experimentally is in good agreement ...
Monte Carlo Studies of Particle Diffusion on a
... the transport of particles over such surfaces. Nevertheless, it occurs that in some simple cases one can obtain a rather satisfactory description of the particle diffusion over the heterogeneous surfaces. We study the influence of the heterogeneity on the surface diffusion of adsorbed particles in t ...
... the transport of particles over such surfaces. Nevertheless, it occurs that in some simple cases one can obtain a rather satisfactory description of the particle diffusion over the heterogeneous surfaces. We study the influence of the heterogeneity on the surface diffusion of adsorbed particles in t ...
85, 155302 (2012)
... E0 vanishes exactly at C0 = 0, which marks the TQCP separating the NTS and TS states. Note that E0 is finite and positive for both C0 > 0 (NTS state) and C0 < 0 (TS state). It is important to note that the system exactly at the zero-temperature TQCP (T = 0, = c ) can be thought of as an s-wave sup ...
... E0 vanishes exactly at C0 = 0, which marks the TQCP separating the NTS and TS states. Note that E0 is finite and positive for both C0 > 0 (NTS state) and C0 < 0 (TS state). It is important to note that the system exactly at the zero-temperature TQCP (T = 0, = c ) can be thought of as an s-wave sup ...
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.