spins_unit_schrodinger_time_evolution
... with one red end and one green end looked at by someone with such bad eyesight that it looks more like a fuzzy sphere. So, the red side basically points out a hemisphere towards which it points. The abstract vector space is a space in which every classical hemisphere (or smaller solid angle for larg ...
... with one red end and one green end looked at by someone with such bad eyesight that it looks more like a fuzzy sphere. So, the red side basically points out a hemisphere towards which it points. The abstract vector space is a space in which every classical hemisphere (or smaller solid angle for larg ...
Dyson equation for diffractive scattering
... these sharp edges the contacts to the quantum wires feature spatial variations of the potential where the length scale a P approaches zero. Consequently the semiclassical limit D / a P Ⰶ 1 cannot be reached, no matter how small D 共or large k兲 is. In other words, the quantum properties of the leads ...
... these sharp edges the contacts to the quantum wires feature spatial variations of the potential where the length scale a P approaches zero. Consequently the semiclassical limit D / a P Ⰶ 1 cannot be reached, no matter how small D 共or large k兲 is. In other words, the quantum properties of the leads ...
Could light harvesting complexes exhibit non
... The theoretical models in the literature (Mohseni et al. 2008; Olaya-Castro et al. 2008; Plenio & Huelga 2008; Caruso et al. 2009; Rebentrost et al. 2009b) apply to the dynamics of one unit of the trimer. The models assume that a photon impinges on the peripheral antenna of the light harvesting comp ...
... The theoretical models in the literature (Mohseni et al. 2008; Olaya-Castro et al. 2008; Plenio & Huelga 2008; Caruso et al. 2009; Rebentrost et al. 2009b) apply to the dynamics of one unit of the trimer. The models assume that a photon impinges on the peripheral antenna of the light harvesting comp ...
A Bird`s-Eye View of Density-Functional Theory
... the electrons to relativistic velocities, one must include relativistic effects by solving Dirac’s equation or an approximation to it. In this case the kinetic energy operator takes a different form. In terms of the elementary charge e > 0 and the atomic number Z, the nuclear charge is Q = Ze and th ...
... the electrons to relativistic velocities, one must include relativistic effects by solving Dirac’s equation or an approximation to it. In this case the kinetic energy operator takes a different form. In terms of the elementary charge e > 0 and the atomic number Z, the nuclear charge is Q = Ze and th ...
Quantum Computing - Department of Computing
... Probabilities are always nonnegative and cannot cancel each other. This experiment proves therefore that ordinary probabilities are inadequate to describe the position of electrons. It is as if we also require negative probabilities. In quantum mechanics the distribution of electrons when slit 2 (re ...
... Probabilities are always nonnegative and cannot cancel each other. This experiment proves therefore that ordinary probabilities are inadequate to describe the position of electrons. It is as if we also require negative probabilities. In quantum mechanics the distribution of electrons when slit 2 (re ...
UNRAVELING OPEN QUANTUM SYSTEMS: CLASSICAL
... of that calculus has been the theory of quantum stochastic differential equations and related quantum flows. Like in the classical case, the projection (expectation) of a flow defines a semigroup and the generator of the semigroup is characterized by a Chapman–Kolmogorov equation, also referred to as a ...
... of that calculus has been the theory of quantum stochastic differential equations and related quantum flows. Like in the classical case, the projection (expectation) of a flow defines a semigroup and the generator of the semigroup is characterized by a Chapman–Kolmogorov equation, also referred to as a ...
Polarized interacting exciton gas in quantum wells and bulk semiconductors
... built upon. In any case, spin splitting is beyond the scope of those spinless excitons theories. We present in this paper a theory of spin-dependent exciton-exciton interaction in two and three dimensions ~2D and 3D!. Such interaction produces a gas with a difference in the spin populations, a level ...
... built upon. In any case, spin splitting is beyond the scope of those spinless excitons theories. We present in this paper a theory of spin-dependent exciton-exciton interaction in two and three dimensions ~2D and 3D!. Such interaction produces a gas with a difference in the spin populations, a level ...
Shankar`s Principles of Quantum Mechanics
... and Hamiltonian formalisms are developed in some depth. It is for the instructor to decide how much of this to cover; the more students know of these matters, the better they will understand the connection between classical and quantum mechanics. Chapter 3 is devoted to a brief study of idealized ex ...
... and Hamiltonian formalisms are developed in some depth. It is for the instructor to decide how much of this to cover; the more students know of these matters, the better they will understand the connection between classical and quantum mechanics. Chapter 3 is devoted to a brief study of idealized ex ...
Electronic Structure of Atoms
... come from analysis of the light either emitted or absorbed by substances. To understand electronic structure, therefore, we must first learn more about light. The light that we can see with our eyes, visible light, is an example of electromagnetic radiation. Because electromagnetic radiation carries ...
... come from analysis of the light either emitted or absorbed by substances. To understand electronic structure, therefore, we must first learn more about light. The light that we can see with our eyes, visible light, is an example of electromagnetic radiation. Because electromagnetic radiation carries ...
4, 2710 (2013)
... zero total momentum, that is, the pairing is between two fermions with opposite momenta k and k (denoted as Bardeen-CooperSchrieffer (BCS) pairing hereafter). On the other hand, the superconducting pairing can also occur between fermions with finite total momenta (pairing between k and k þ Q) in ...
... zero total momentum, that is, the pairing is between two fermions with opposite momenta k and k (denoted as Bardeen-CooperSchrieffer (BCS) pairing hereafter). On the other hand, the superconducting pairing can also occur between fermions with finite total momenta (pairing between k and k þ Q) in ...
Mirror QCD and Cosmological Constant
... corresponds to the minimum of the non-perturbative effective YM Lagrangian (12). It holds strictly beyond the Perturbation Theory, just like the YM trace anomaly itself. Thus, the exact solution (15) corresponds to the physical quantum ground state of an effective YM theory. It is important to point ...
... corresponds to the minimum of the non-perturbative effective YM Lagrangian (12). It holds strictly beyond the Perturbation Theory, just like the YM trace anomaly itself. Thus, the exact solution (15) corresponds to the physical quantum ground state of an effective YM theory. It is important to point ...
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.