Quantum Computers Can Search Rapidly by Using Almost
... was that for the top quark [11]. The framework of this paper could equally well be used there. All that is needed is a means to repeatedly apply a specified Hamiltonian that produces various phase inversions and state transitions. For example, it took about 1012 repetitions of a certain experiment, ...
... was that for the top quark [11]. The framework of this paper could equally well be used there. All that is needed is a means to repeatedly apply a specified Hamiltonian that produces various phase inversions and state transitions. For example, it took about 1012 repetitions of a certain experiment, ...
Detection and Quantized Conductance of Neutral Atoms Near a Charged... Trygve Ristroph, Anne Goodsell, J. A. Golovchenko, and Lene Vestergaard...
... atoms with increasingly large angular momenta. Assuming all captured atoms ionize, the classical ionization cross section is linear in V0 and is given by 2bc lnt , where lnt is the length of the nanotube. We note that in all cases of interest here captured states are not bound states, rather ...
... atoms with increasingly large angular momenta. Assuming all captured atoms ionize, the classical ionization cross section is linear in V0 and is given by 2bc lnt , where lnt is the length of the nanotube. We note that in all cases of interest here captured states are not bound states, rather ...
An Introduction to the Mathematical Aspects of Quantum Mechanics:
... exists. That means D(P̂ ), the domain of the momentum operator, can not be the whole L2 . In fact, there is many examples of elements of L2 functions that are not differentiable everywhere. We need ways to extend the domain of an operator to deal with these cases. To do this is enough to require tha ...
... exists. That means D(P̂ ), the domain of the momentum operator, can not be the whole L2 . In fact, there is many examples of elements of L2 functions that are not differentiable everywhere. We need ways to extend the domain of an operator to deal with these cases. To do this is enough to require tha ...
Single photon nonlinear optics in photonic crystals
... The structure consists of a linear three-hole defect cavity in a triangular photonic crystal lattice, as shown in Fig.1(a). It is fabricated in GaAs and contains a central layer of InAs quantum dots and has a quality factor Q = 104 . The temperature of the structure is scanned by a heating laser.14 ...
... The structure consists of a linear three-hole defect cavity in a triangular photonic crystal lattice, as shown in Fig.1(a). It is fabricated in GaAs and contains a central layer of InAs quantum dots and has a quality factor Q = 104 . The temperature of the structure is scanned by a heating laser.14 ...
Exploring the importance of quantum effects in nucleation
... To avoid exploiting experimental information in defining the features of φ(r), the ZPAD approach employs a selfconsistent iterative procedure based on an alternation between classical simulations on effective potentials and quantum calculations to optimize the atomic wave function φ(r). Since the or ...
... To avoid exploiting experimental information in defining the features of φ(r), the ZPAD approach employs a selfconsistent iterative procedure based on an alternation between classical simulations on effective potentials and quantum calculations to optimize the atomic wave function φ(r). Since the or ...
np W. L. Glab and P. T. Glynn F. Robicheaux
... (3/2,3/2) 3 . Thus, for J50 Rydberg states there is one series converging to the lower ( 2 P 1/2) state of the ion core and one series converging to the upper ( 2 P 3/2) state; for J51, there are two series converging to each limit; for J52, there is one series converging to the lower limit and two ...
... (3/2,3/2) 3 . Thus, for J50 Rydberg states there is one series converging to the lower ( 2 P 1/2) state of the ion core and one series converging to the upper ( 2 P 3/2) state; for J51, there are two series converging to each limit; for J52, there is one series converging to the lower limit and two ...
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.