PDF ∗ , 88K - UCLA Chemistry and Biochemistry
... Several studies that consider quantum effects in molecular wires have been published recently, studies which examine tunneling transport8-12 and interference effects13,14 as well as progress toward construction of a molecular transistor.15 In this communication we consider the basic quantum effect o ...
... Several studies that consider quantum effects in molecular wires have been published recently, studies which examine tunneling transport8-12 and interference effects13,14 as well as progress toward construction of a molecular transistor.15 In this communication we consider the basic quantum effect o ...
EE 5340©
... Solutions for the Schrodinger Equation • Solutions of the form of y(x) = A exp(jKx) + B exp (-jKx) K = [8p2m(E-V)/h2]1/2 • Subj. to boundary conds. and norm. y(x) is finite, single-valued, conts. dy(x)/dx is finite, s-v, and conts. ...
... Solutions for the Schrodinger Equation • Solutions of the form of y(x) = A exp(jKx) + B exp (-jKx) K = [8p2m(E-V)/h2]1/2 • Subj. to boundary conds. and norm. y(x) is finite, single-valued, conts. dy(x)/dx is finite, s-v, and conts. ...
Undergraduate Laboratories Using Correlated Photons: Experiments on the Fundamentals of Quantum Physics
... distinguishable. The circles in Figure 3 represent our measurements for this case. We note that we did not measure the polarization of the photon leaving the interferometer and thus were not able to distinguish which path the photon took. However, quantum mechanics predicts that there will be no int ...
... distinguishable. The circles in Figure 3 represent our measurements for this case. We note that we did not measure the polarization of the photon leaving the interferometer and thus were not able to distinguish which path the photon took. However, quantum mechanics predicts that there will be no int ...
The Remarkable Bose
... Dissipation can enhance coherence for both C and E Predict tunneling between self-trapped FPs for Λ ~ 1 + ε ...
... Dissipation can enhance coherence for both C and E Predict tunneling between self-trapped FPs for Λ ~ 1 + ε ...
Quantum Algorithms - University of Sydney
... The polarisation of a photon gives a quantum system Photons in free space do not interact with each other (i.e., with electric or magnetic fields) ...
... The polarisation of a photon gives a quantum system Photons in free space do not interact with each other (i.e., with electric or magnetic fields) ...
Quantum Entanglement: An Exploration of a Weird Phenomenon 1
... “God does not play dice,” confidently affirmed Albert Einstein in his fight against quantum mechanics. Indeed, Einstein did not appreciate the stochastic nature of quantum mechanics that represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, ...
... “God does not play dice,” confidently affirmed Albert Einstein in his fight against quantum mechanics. Indeed, Einstein did not appreciate the stochastic nature of quantum mechanics that represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, ...
Variational Methods Applied to the Particle in a Box ©
... particle-in-a-box, harmonic oscillator, rigid rotor, and H-atom nearly completes the list of exactly solvable problems that are normally presented in a quantum chemistry course. When a system contains more than two interacting particles, one must resort to the use of approximate methods for estimati ...
... particle-in-a-box, harmonic oscillator, rigid rotor, and H-atom nearly completes the list of exactly solvable problems that are normally presented in a quantum chemistry course. When a system contains more than two interacting particles, one must resort to the use of approximate methods for estimati ...
... there has been a considerable interest in quasi-zero dimensional self-assembled quantum dots (QDs), formed through the Stranki-Krastanow growth mode by deposition a material on the substrate with different lattice parameter [1]. This interest is related to potential technological application of QDs ...
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.