Snímek 1 - Fordham University Computer and Information Sciences
... Current analytical formulas for the propagation of an electron in the Quantum regime through a potential barrier assumes many electrons and the position of any one individual electron is unimportant, but rather their behavior as a group is studied. As a result, description of current is always in te ...
... Current analytical formulas for the propagation of an electron in the Quantum regime through a potential barrier assumes many electrons and the position of any one individual electron is unimportant, but rather their behavior as a group is studied. As a result, description of current is always in te ...
SAND Quantum Theory of What
... prediction of the probability of obtaining a specific result in an observation? ...
... prediction of the probability of obtaining a specific result in an observation? ...
Modern physics
... • Simultaneous uncertainty in both position and momentum requires construction of wave packets. Then there is a significant probability of finding the particle only in limited regions of space – particle is localized • The magnitude of the position-momentum and energy-time effects is proportional to ...
... • Simultaneous uncertainty in both position and momentum requires construction of wave packets. Then there is a significant probability of finding the particle only in limited regions of space – particle is localized • The magnitude of the position-momentum and energy-time effects is proportional to ...
L14alternative - Particle Physics and Particle Astrophysics
... The wavefunction of the tunneling particle decreases exponentially in the barrier. The tunneling probability is strongly dependent on the width of the barrier, the mass of the particle, and the quantity (V-E). For instance, the ratio of tunneling probability for protons to electrons is around a fact ...
... The wavefunction of the tunneling particle decreases exponentially in the barrier. The tunneling probability is strongly dependent on the width of the barrier, the mass of the particle, and the quantity (V-E). For instance, the ratio of tunneling probability for protons to electrons is around a fact ...
SOLID-STATE PHYSICS 3, Winter 2008 O. Entin-Wohlman Conductivity and conductance
... where V (r) is the potential energy. The Schrödinger equation is thus HΨ(r) = EΨ(r) . We can perform a (formal) gauge transformation on the wave function, ie Z r ...
... where V (r) is the potential energy. The Schrödinger equation is thus HΨ(r) = EΨ(r) . We can perform a (formal) gauge transformation on the wave function, ie Z r ...
Stephen Hawking
... Note that Schrodinger was attempting to made a clearly absurd example in order to argue that the standard interpretation of quantum mechanics is nonsense. ...
... Note that Schrodinger was attempting to made a clearly absurd example in order to argue that the standard interpretation of quantum mechanics is nonsense. ...
Quantum Information Processing (Communication) with Photons
... entangled qubit pair prepared ahead of time. protocol: 1) Alice and Bob each have one qubit of an entangled pair 2) Bob does a quantum operation on his qubit depending on which 2 classical bits he wants to communicate 3) Bob sends his qubit to Alice 4) Alice does one measurement on the entangled pai ...
... entangled qubit pair prepared ahead of time. protocol: 1) Alice and Bob each have one qubit of an entangled pair 2) Bob does a quantum operation on his qubit depending on which 2 classical bits he wants to communicate 3) Bob sends his qubit to Alice 4) Alice does one measurement on the entangled pai ...
Atomic Structure and Periodic Trends
... – The square of a wave function, (y)2, generates a probability distribution for an electron in that orbital • Also called an electron density map for a given orbital • (y)2 describes the shape, size, and orientation of the orbital ...
... – The square of a wave function, (y)2, generates a probability distribution for an electron in that orbital • Also called an electron density map for a given orbital • (y)2 describes the shape, size, and orientation of the orbital ...
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.