
Here
... The ordinary quantum cohomology of a symplectic resolution is equal to the classical cohomology ring. In our case, this can be seen directly, since T ∗ G/B deforms to the affine space G/T , whose Gromov-Witten invariants vanish (recall that Gromov-Witten invariants are invariant under deformations o ...
... The ordinary quantum cohomology of a symplectic resolution is equal to the classical cohomology ring. In our case, this can be seen directly, since T ∗ G/B deforms to the affine space G/T , whose Gromov-Witten invariants vanish (recall that Gromov-Witten invariants are invariant under deformations o ...
Magnetic impurity formation in quantum point contacts Tomazˇ Rejec & Yigal Meir
... necessary condition for the Kondo effect, which is beyond the local spin-density approximation used here. Interestingly, the calculations indicate that near pinch-off, two such states form on the two sides of the QPC. This may lead to the physics of the two-impurity Kondo model. Depending on the rat ...
... necessary condition for the Kondo effect, which is beyond the local spin-density approximation used here. Interestingly, the calculations indicate that near pinch-off, two such states form on the two sides of the QPC. This may lead to the physics of the two-impurity Kondo model. Depending on the rat ...
An Accidental Relationship Between a Relative Quantum
... Concurrence and other measures of entanglement, being nonlinear functions of the density operator, can not be directly measured. Therefore, the search of observables related to entanglement, including entanglement witnesses, is an important goal. In this paper we show a result in that direction. For ...
... Concurrence and other measures of entanglement, being nonlinear functions of the density operator, can not be directly measured. Therefore, the search of observables related to entanglement, including entanglement witnesses, is an important goal. In this paper we show a result in that direction. For ...
What is CPH_Theory - VBN
... The energy of photon depends on its electric and magnetic fields. Therefore, one part of the work done by gravity converts to electrical energy and the other part converts to magnetic energy. The change of frequency of the photon in the gravitational field has been demonstrated by the Pound-Rebka ex ...
... The energy of photon depends on its electric and magnetic fields. Therefore, one part of the work done by gravity converts to electrical energy and the other part converts to magnetic energy. The change of frequency of the photon in the gravitational field has been demonstrated by the Pound-Rebka ex ...
Quantum Strategies V 82, N 5
... this Letter we add game theory to the list: Quantum strategies can be more successful than classical ones. While this result may seem obscure or surprising, in fact it is neither. Cryptographic situations, for example, are readily conceived as games; it is reasonable to ask if the advantages of quan ...
... this Letter we add game theory to the list: Quantum strategies can be more successful than classical ones. While this result may seem obscure or surprising, in fact it is neither. Cryptographic situations, for example, are readily conceived as games; it is reasonable to ask if the advantages of quan ...
Are Quantum Physics and Spirituality related
... to do with motion, and potential energy is to do with what would happen if the circumstances were right. In classical physics we can go a long way by knowing about conservation of energy (as well as conservation of momentum, angular momentum etc). Energy in quantum physics, the total of the kinetic ...
... to do with motion, and potential energy is to do with what would happen if the circumstances were right. In classical physics we can go a long way by knowing about conservation of energy (as well as conservation of momentum, angular momentum etc). Energy in quantum physics, the total of the kinetic ...
Computing with Atoms and Molecules
... way of knowing which answer will appear! It seems quantum computers do not compute one-to-one functions (where each input results in a unique output as in the doubling algorithm above) any more efficiently than classical computers. The trick behind a useful quantum computer algorithm involves the ph ...
... way of knowing which answer will appear! It seems quantum computers do not compute one-to-one functions (where each input results in a unique output as in the doubling algorithm above) any more efficiently than classical computers. The trick behind a useful quantum computer algorithm involves the ph ...
Conservation of Lateral Momentum in Heterostructure
... heterostructure barrier layer from emitter to collector resulting in evaporative cooling. In this paper a detailed theory of electron transport perpendicular to the multilayer superlattice structures is presented. Using Fermi-Dirac statistics, density-of-states for a finite quantum well and the quan ...
... heterostructure barrier layer from emitter to collector resulting in evaporative cooling. In this paper a detailed theory of electron transport perpendicular to the multilayer superlattice structures is presented. Using Fermi-Dirac statistics, density-of-states for a finite quantum well and the quan ...
Supplementary Discussion - Word file (29 KB )
... In the main text we show model calculations of the addition energy, Eadd, for two types of electrostatic potential in the nanotube: hard-wall versus a parabolic potential (Fig. 2d). In both cases, we assume a zig-zag (n,m) = (0,35) nanotube (taken such that the theoretical band gap, Egap ~ 259 meV, ...
... In the main text we show model calculations of the addition energy, Eadd, for two types of electrostatic potential in the nanotube: hard-wall versus a parabolic potential (Fig. 2d). In both cases, we assume a zig-zag (n,m) = (0,35) nanotube (taken such that the theoretical band gap, Egap ~ 259 meV, ...
Part I
... Take the lowest vibrational state to be the ground state Take the bottom of the interatomic potential well as zero energy • We adopt the second choice • We take the zero of the electronic energy to be the separated, electronically unexcited atoms at rest • The electronic partition function is no ...
... Take the lowest vibrational state to be the ground state Take the bottom of the interatomic potential well as zero energy • We adopt the second choice • We take the zero of the electronic energy to be the separated, electronically unexcited atoms at rest • The electronic partition function is no ...
Reply to seven commentaries on “Consciousness in the universe: ScienceDirect
... the foundation of brain information processing for decades . . . . This article [8] therefore marks the beginning of developing a comprehensive mathematical modeling of the brain. Hopefully, in the near future, with more experimental understanding of the space–time metric, Orch-OR would evolve to a ...
... the foundation of brain information processing for decades . . . . This article [8] therefore marks the beginning of developing a comprehensive mathematical modeling of the brain. Hopefully, in the near future, with more experimental understanding of the space–time metric, Orch-OR would evolve to a ...
Quantum Information and the Representation Theory of the
... Here, I would like to give a very brief introduction to some of the basic results that establish the link between quantum information and the representation theory of the symmetric group, and to briefly mention a few of the interesting consequences that have emerged from this connection, which have ...
... Here, I would like to give a very brief introduction to some of the basic results that establish the link between quantum information and the representation theory of the symmetric group, and to briefly mention a few of the interesting consequences that have emerged from this connection, which have ...
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.