
Lecture 23
... a single photon with energy E2-E1. The light has a frequency ω = (E2-E1)/ħ. For all this to happen, the system must be in the ψ2 state initially. 2. A photon is absorbed by a quantum system when it makes a transition from a quantum state of energy E1 to a state of energy E2, with E2>E1. The absorpti ...
... a single photon with energy E2-E1. The light has a frequency ω = (E2-E1)/ħ. For all this to happen, the system must be in the ψ2 state initially. 2. A photon is absorbed by a quantum system when it makes a transition from a quantum state of energy E1 to a state of energy E2, with E2>E1. The absorpti ...
Quantum Computing - Department of Physics and Astronomy
... • When the number of transistors goes down, so does the overall dimensions • Transistor size will approach quantum dimensions in ~6-10 years! • We had better be ready to embrace a new approach. ...
... • When the number of transistors goes down, so does the overall dimensions • Transistor size will approach quantum dimensions in ~6-10 years! • We had better be ready to embrace a new approach. ...
Transport Electron through a Quantum Wire by Side-Attached Asymmetric Quantum-Dot Chains
... The progresses in nanofabrication technology have allowed the study of electron transport and especially the conductance through the quantum nano-scale systems likes quantum wires (QW) and quantum dots chains (QD) -in a very controllable way - which are very interesting from nano-electronics applica ...
... The progresses in nanofabrication technology have allowed the study of electron transport and especially the conductance through the quantum nano-scale systems likes quantum wires (QW) and quantum dots chains (QD) -in a very controllable way - which are very interesting from nano-electronics applica ...
Lecture notes in Solid State 3 Eytan Grosfeld Introduction to Localization
... surprisingly, all the states in 2D are localized as well. In contrast, 3D is special: necessarily there is some intermediate point for which β(g) = 0, defining gc . This is an unstable fixed point between a conducting state and an insulating state, known as the metal-insulator transition. What happe ...
... surprisingly, all the states in 2D are localized as well. In contrast, 3D is special: necessarily there is some intermediate point for which β(g) = 0, defining gc . This is an unstable fixed point between a conducting state and an insulating state, known as the metal-insulator transition. What happe ...
What`s bad about this habit
... most successful abstractions to be real properties of our world. Since the distinction between real and abstract is notoriously problematic, you might wonder what it means to wrongly confer reality on something abstract. I shall illustrate our habit of inappropriately reifying our successful abstrac ...
... most successful abstractions to be real properties of our world. Since the distinction between real and abstract is notoriously problematic, you might wonder what it means to wrongly confer reality on something abstract. I shall illustrate our habit of inappropriately reifying our successful abstrac ...
Scientific Papers
... Now seal the box and imagine the cat comfortably sitting next to an unopened flask of poison gas. Attach to this scene a radioactive which will decay after a certain amount of time (measured by the half-life of the atom). This will cause the flask to open and set the gas free. Assume that the decay ...
... Now seal the box and imagine the cat comfortably sitting next to an unopened flask of poison gas. Attach to this scene a radioactive which will decay after a certain amount of time (measured by the half-life of the atom). This will cause the flask to open and set the gas free. Assume that the decay ...
Quantum Circuit Theory for Mesoscoptic Devices
... A preliminary study demonstrates that the coupling to the environment can generate large off-diagonal elements in the density matrix. Since classical systems are always described by diagonal density matrices, the appearance of the off-diagonal elements indicate the importance of the quantum effects. ...
... A preliminary study demonstrates that the coupling to the environment can generate large off-diagonal elements in the density matrix. Since classical systems are always described by diagonal density matrices, the appearance of the off-diagonal elements indicate the importance of the quantum effects. ...
Entanglement purification for Quantum Computation
... is then used —together with high–quality single–particle operations— to implement in a deterministic way two– particle gates between the logical qubits. For instance, a CNOT-gate [10] between A1 and B1 can be realized using schemes presented in Ref. [11–13]. We find that the physical two–particle ga ...
... is then used —together with high–quality single–particle operations— to implement in a deterministic way two– particle gates between the logical qubits. For instance, a CNOT-gate [10] between A1 and B1 can be realized using schemes presented in Ref. [11–13]. We find that the physical two–particle ga ...
Miracles, Materialism, and Quantum Mechanics
... governed by the Schrodinger equation Postulate 3: Measurement of a system is associated with a linear, Hermitian operator ...
... governed by the Schrodinger equation Postulate 3: Measurement of a system is associated with a linear, Hermitian operator ...
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.