
Charge Transport in Semiconductors Contents
... When the electron is confined in a box, it can have only those wavelengths that can fit in the box; so, the wavelengths are ‘quantized’, according to k. Electrons with wavevectors k → 0 have very small momentum and are delocalised over the whole crystal, since their λ → ∞. On the other hand, electrons ...
... When the electron is confined in a box, it can have only those wavelengths that can fit in the box; so, the wavelengths are ‘quantized’, according to k. Electrons with wavevectors k → 0 have very small momentum and are delocalised over the whole crystal, since their λ → ∞. On the other hand, electrons ...
C L 1 ~ R 2 C L S1 R C S2
... a) Use Heisenberg's uncertainty principle in the form rp = ħ to write the energy E as E(p). b) Minimize E(p) to find the ground state energy. c) (Numerical) Evaluate the expression found in b). Hint: might want to write the potential energy in terms of α first. ...
... a) Use Heisenberg's uncertainty principle in the form rp = ħ to write the energy E as E(p). b) Minimize E(p) to find the ground state energy. c) (Numerical) Evaluate the expression found in b). Hint: might want to write the potential energy in terms of α first. ...
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... Not just any frequency of light will cause the photoelectric effect. • Red light will not cause potassium to eject electrons, no matter how intense the light. • Yet a very weak yellow light shining on potassium begins the effect. ...
... Not just any frequency of light will cause the photoelectric effect. • Red light will not cause potassium to eject electrons, no matter how intense the light. • Yet a very weak yellow light shining on potassium begins the effect. ...
Operator Imprecision and Scaling of Shor’s Algorithm
... Quantum computation is a kind of continuous computation. The most familiar example of continuous computation is analog computation, which is central to analog electronics and other analog technologies such as hydraulics and pneumatics. The physical realization of a quantum computation must be a quan ...
... Quantum computation is a kind of continuous computation. The most familiar example of continuous computation is analog computation, which is central to analog electronics and other analog technologies such as hydraulics and pneumatics. The physical realization of a quantum computation must be a quan ...
The origin of the phase in the interference of Bose
... symmetry,16–19 the necessity of which has been brought into question in recent years.18–21 Suppose we consider a condensate described by a wave function ei共k·r+兲. We might describe the direction specified by the angle by a “spin” in a two-dimensional plane. How do we prepare such a state? What is ...
... symmetry,16–19 the necessity of which has been brought into question in recent years.18–21 Suppose we consider a condensate described by a wave function ei共k·r+兲. We might describe the direction specified by the angle by a “spin” in a two-dimensional plane. How do we prepare such a state? What is ...
URL - StealthSkater
... holding true in all scales. Since number theoretic entropies are natural in the intersection of real and pAdic worlds, this suggests that Life resides in this intersection. The existence effectively bound states with no binding energy might have important implications for the understanding the stab ...
... holding true in all scales. Since number theoretic entropies are natural in the intersection of real and pAdic worlds, this suggests that Life resides in this intersection. The existence effectively bound states with no binding energy might have important implications for the understanding the stab ...
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... the entangled qubits from a singlet state into two L-km-long standard telecommunication fibers. The photons emerging from the fibers are then loaded into trapped-atom quantum memories [3]. These memories store the photon-polarization qubits in long-lived hyperfine levels. Because it is compatible with ...
... the entangled qubits from a singlet state into two L-km-long standard telecommunication fibers. The photons emerging from the fibers are then loaded into trapped-atom quantum memories [3]. These memories store the photon-polarization qubits in long-lived hyperfine levels. Because it is compatible with ...
Theory of Brain Function, Quantum Mechanics and Superstrings
... Theory of brain function, quantum mechanics, and superstrings are three fascinating topics, which at first look bear little, if any at all, relation to each other. Trying to put them together in a cohesive way, as described in this task, becomes a most demanding challenge and unique experience. The ...
... Theory of brain function, quantum mechanics, and superstrings are three fascinating topics, which at first look bear little, if any at all, relation to each other. Trying to put them together in a cohesive way, as described in this task, becomes a most demanding challenge and unique experience. The ...
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.