Physics 882: Problem Set 4 Due Friday, February 7, 2003
... where Si is a spin-1/2 quantum spin operator, the sum runs over distinct nearest neighbor pairs as discussed in class, and J > 0. Assume that the spins lie on a lattice which can be divided into two sublattices, such that all the nearest neighbors of spins on one sublattice are spins on the other su ...
... where Si is a spin-1/2 quantum spin operator, the sum runs over distinct nearest neighbor pairs as discussed in class, and J > 0. Assume that the spins lie on a lattice which can be divided into two sublattices, such that all the nearest neighbors of spins on one sublattice are spins on the other su ...
The Mean-Field Limit for the Dynamics of Large Particle Systems
... 1.1. Examples of mean-field equations Roughly speaking, a mean-field equation is a model that describes the evolution of a typical particle subject to the collective interaction created by a large number N of other, like particles. The state of the typical particle is given by its phase space densi ...
... 1.1. Examples of mean-field equations Roughly speaking, a mean-field equation is a model that describes the evolution of a typical particle subject to the collective interaction created by a large number N of other, like particles. The state of the typical particle is given by its phase space densi ...
Time-dependent perturbation theory
... states simultaneously (this compares to a normal computer that can only be in one of these 2n states at any one time). A quantum computer operates by manipulating those qubits with a fixed sequence of quantum logic gates. The sequence of gates to be applied is called a quantum algorithm. An example ...
... states simultaneously (this compares to a normal computer that can only be in one of these 2n states at any one time). A quantum computer operates by manipulating those qubits with a fixed sequence of quantum logic gates. The sequence of gates to be applied is called a quantum algorithm. An example ...
spin-orbit coupling
... magnetic moment. 2m 2m • The magnetic moment associated with the orbital angular momentum is quantised. • An applied magnetic field B acts on the orbital magnetic moment by trying to align the vectors μl and B. The electrons precess about the direction of the field, called Larmor precession. There i ...
... magnetic moment. 2m 2m • The magnetic moment associated with the orbital angular momentum is quantised. • An applied magnetic field B acts on the orbital magnetic moment by trying to align the vectors μl and B. The electrons precess about the direction of the field, called Larmor precession. There i ...
Introduction to P880.P20
... Imagine an experiment designed to search for Baryons with Strangeness=+1 These particles would violate the quark model since Baryons always have negative strangeness in the quark model. A candidate reaction is: p-pk-X+ Since this is a strong reaction we need to conserve: baryon number: X has B=+1 s ...
... Imagine an experiment designed to search for Baryons with Strangeness=+1 These particles would violate the quark model since Baryons always have negative strangeness in the quark model. A candidate reaction is: p-pk-X+ Since this is a strong reaction we need to conserve: baryon number: X has B=+1 s ...
Coherent control of a single nuclear spin with an electric field
... The magnetic moment of a nuclear spin is ten billion times smaller than the magnetic moment of one bit of a modern hard drive. To succeed in detecting such a tiny signal, we first developed a very sensitive magnetic field sensor – the Single-Molecule Magnet (SMM) spintransistor (Fig. 1). The heart ...
... The magnetic moment of a nuclear spin is ten billion times smaller than the magnetic moment of one bit of a modern hard drive. To succeed in detecting such a tiny signal, we first developed a very sensitive magnetic field sensor – the Single-Molecule Magnet (SMM) spintransistor (Fig. 1). The heart ...
View - Rutgers Physics
... a) Kinetic energy at relativistic speeds is greater than the classical value b) E = mc2 describes the rest energy of a massive particle c) Blueshifting of light occurs when the emitter is moving towards the receiver d) Events occuring simultaneously in one frame will always appear to be simultaneous ...
... a) Kinetic energy at relativistic speeds is greater than the classical value b) E = mc2 describes the rest energy of a massive particle c) Blueshifting of light occurs when the emitter is moving towards the receiver d) Events occuring simultaneously in one frame will always appear to be simultaneous ...
Quantum Notes (Chapter 16)(Powerpoint document)
... For n1>n2, ∆Eatom is negative indicating energy lost by the atom and released as a photon. For n2>n1, ∆Eatom is positive indicating that energy must be added to excite the electron to a higher energy level. ...
... For n1>n2, ∆Eatom is negative indicating energy lost by the atom and released as a photon. For n2>n1, ∆Eatom is positive indicating that energy must be added to excite the electron to a higher energy level. ...
3,2,1 1 1 2 = −= −= nn E n ekm E Only memorize the second form.
... physics when the quantum numbers for a system are very large. Section 28.4: Quantum Mechanics and the Hydrogen Atom One of the many successes of quantum mechanics is that the quantum numbers n, ℓ, and mℓ associated with atomic structure arise directly from the mathematics of the theory. The quantum ...
... physics when the quantum numbers for a system are very large. Section 28.4: Quantum Mechanics and the Hydrogen Atom One of the many successes of quantum mechanics is that the quantum numbers n, ℓ, and mℓ associated with atomic structure arise directly from the mathematics of the theory. The quantum ...
Time in Quantum Theory
... locally, one speaks of 'many-fingered time'. Dynamical evolution in quantum theory is in general locally non-unitary (to be described by a master equation) because of the generic nonlocal entanglement contained in the unitarily evolving global quantum state. Unitary evolution may therefore be confir ...
... locally, one speaks of 'many-fingered time'. Dynamical evolution in quantum theory is in general locally non-unitary (to be described by a master equation) because of the generic nonlocal entanglement contained in the unitarily evolving global quantum state. Unitary evolution may therefore be confir ...
I II III
... We simplify the problem by assuming a high and wide barrier. "High" means the barrier potential is high relative to the incident kinetic energy. In that case k2/k1>k1/k2. (Look back at the definitions of k1 and k2 to see this.) ...
... We simplify the problem by assuming a high and wide barrier. "High" means the barrier potential is high relative to the incident kinetic energy. In that case k2/k1>k1/k2. (Look back at the definitions of k1 and k2 to see this.) ...
Fulltext
... CdSe/ZnCdS core/shell Quantum dots with high quantum yield (~84%) were used in this experiment. For the first time the red filtered cathodoluminescence images are shown along with their corresponding electron energy loss spectrum map, and high angle annular dark field image of the corresponding part ...
... CdSe/ZnCdS core/shell Quantum dots with high quantum yield (~84%) were used in this experiment. For the first time the red filtered cathodoluminescence images are shown along with their corresponding electron energy loss spectrum map, and high angle annular dark field image of the corresponding part ...
Slide 1
... Some of My Recent Research BosonSampling (with Alex Arkhipov): A proposal for a rudimentary optical quantum computer, which doesn’t seem useful for anything (e.g. breaking codes), but does seem hard to simulate using classical computers Computational Complexity of Decoding Hawking Radiation: Buildi ...
... Some of My Recent Research BosonSampling (with Alex Arkhipov): A proposal for a rudimentary optical quantum computer, which doesn’t seem useful for anything (e.g. breaking codes), but does seem hard to simulate using classical computers Computational Complexity of Decoding Hawking Radiation: Buildi ...
