Chapter 2 The Ideal Gas
... where the symbol (k,l) means that a product is taken over all values of k and l. The product extends over all phase-space boxes. However, since 0! = 1, and there are only a finite number of particles, only a finite number of terms in the product are not equal to unity. But a factor of one can be ign ...
... where the symbol (k,l) means that a product is taken over all values of k and l. The product extends over all phase-space boxes. However, since 0! = 1, and there are only a finite number of particles, only a finite number of terms in the product are not equal to unity. But a factor of one can be ign ...
Quantum Picture of the Josephson Junction
... Unlike the Harmonic Oscillator Potential, the energy spaces of the wash board potential are not equal. This is a significant quality of this system that makes it a candidate for qubit, as discussed later. The potential in my calculation and the eigenfunctions for the 4 lowest states are shown in Fig ...
... Unlike the Harmonic Oscillator Potential, the energy spaces of the wash board potential are not equal. This is a significant quality of this system that makes it a candidate for qubit, as discussed later. The potential in my calculation and the eigenfunctions for the 4 lowest states are shown in Fig ...
Trionic optical potential for electrons in semiconductors ARTICLES *
... well or wire. These potentials can be thought of as artificial nanostructures on the scale of 100 nm that can be spin dependent and reconfigurable in real time. Our results suggest the possibility of integrating ultrafast optics and gate voltages in new resolved-carrier semiconductor optoelectronic ...
... well or wire. These potentials can be thought of as artificial nanostructures on the scale of 100 nm that can be spin dependent and reconfigurable in real time. Our results suggest the possibility of integrating ultrafast optics and gate voltages in new resolved-carrier semiconductor optoelectronic ...
Linköping University Post Print Quantum contextuality for rational vectors
... The Kochen-Specker theorem from 1967 [1] states that the quantum predictions from a three-dimensional quantum system (a qutrit) are inconsistent with noncontextual hidden variables. The proof uses 117 directions in three dimensions, arranged in a pattern such that they cannot be colored in a particu ...
... The Kochen-Specker theorem from 1967 [1] states that the quantum predictions from a three-dimensional quantum system (a qutrit) are inconsistent with noncontextual hidden variables. The proof uses 117 directions in three dimensions, arranged in a pattern such that they cannot be colored in a particu ...
Symmetry - USU physics
... or equivalently |hx |yi| = hx| Û † Û |yi . Though we have always inferred that Û should be unitary from this, there are other possibilities. For any phase, eiϕ , we may have Û † Û = eiϕ 1̂ where U is unitary. Suppose also that Û is a discrete symmetry (such as parity or time reversal) so that ...
... or equivalently |hx |yi| = hx| Û † Û |yi . Though we have always inferred that Û should be unitary from this, there are other possibilities. For any phase, eiϕ , we may have Û † Û = eiϕ 1̂ where U is unitary. Suppose also that Û is a discrete symmetry (such as parity or time reversal) so that ...
The strange link between the human mind and quantum physics
... The American physicist Richard Feynman said this about the notorious puzzles and paradoxes of quantum mechanics, the theory physicists use to describe the tiniest objects in the Universe. But he might as well have been talking about the equally knotty problem of consciousness. Some scientists think ...
... The American physicist Richard Feynman said this about the notorious puzzles and paradoxes of quantum mechanics, the theory physicists use to describe the tiniest objects in the Universe. But he might as well have been talking about the equally knotty problem of consciousness. Some scientists think ...
Velicky17.10.BECBrno07L3
... • the mean field component of the interactions determines most of the deviations from the non-interacting case • beyond the mean field, the interactions change the quasi-particles and result into superfluidity even in these dilute systems ...
... • the mean field component of the interactions determines most of the deviations from the non-interacting case • beyond the mean field, the interactions change the quasi-particles and result into superfluidity even in these dilute systems ...
Witnessing quantumness of a system by observing only its classical
... non-classicality only requires to measure correlations involving just the observable T on S C ; and the system S C need not undergo any interference. Appropriate values of these correlations, as we shall show, imply that the classical system S C must have at least another observable that cannot be s ...
... non-classicality only requires to measure correlations involving just the observable T on S C ; and the system S C need not undergo any interference. Appropriate values of these correlations, as we shall show, imply that the classical system S C must have at least another observable that cannot be s ...
Degeneracy in one-dimensional quantum mechanics
... this reason, this potential is termed the isotonic oscillator [13–18]. In this work, we consider the isotonic oscillator on the whole domain −∞ < x < +∞ as a case study of a one-dimensional quantum system with energy level degeneracy. After a brief review of the isotonic oscillator in Section 2, a d ...
... this reason, this potential is termed the isotonic oscillator [13–18]. In this work, we consider the isotonic oscillator on the whole domain −∞ < x < +∞ as a case study of a one-dimensional quantum system with energy level degeneracy. After a brief review of the isotonic oscillator in Section 2, a d ...
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.