Branes at angles and calibrated geometry
... each Rjk (ϑ) being the rotation by an angle ϑ in the 2-plane spanned by ej and ek . The angles (θi ) are of course not unique, since even after having conjugated R to a given maximal torus, we can still act with Weyl transformations. As we will discuss below, all this means is that we can choose an ...
... each Rjk (ϑ) being the rotation by an angle ϑ in the 2-plane spanned by ej and ek . The angles (θi ) are of course not unique, since even after having conjugated R to a given maximal torus, we can still act with Weyl transformations. As we will discuss below, all this means is that we can choose an ...
Can the Wave Function in Configuration Space Be Replaced by
... Indeed, even Bohm himself seems to have found this aspect of his theory (the idea of a physically real field living in an abstract configuration space) to be somewhat indigestible: “...a serious problem confronts us when we extend the theory ... to the treatment of more than one electron. This diffi ...
... Indeed, even Bohm himself seems to have found this aspect of his theory (the idea of a physically real field living in an abstract configuration space) to be somewhat indigestible: “...a serious problem confronts us when we extend the theory ... to the treatment of more than one electron. This diffi ...
A Selective History of the Stone-von Neumann Theorem
... von Neumann, it seems totally appropriate to consider the history of the one theorem that bears both of their names. This history turns out to involve a surprisingly large swath of 20th century mathematics: from quantization to group representations, operator algebras, and even number theory. For ot ...
... von Neumann, it seems totally appropriate to consider the history of the one theorem that bears both of their names. This history turns out to involve a surprisingly large swath of 20th century mathematics: from quantization to group representations, operator algebras, and even number theory. For ot ...
On the Quantum Theory of Line–spectra
... If will therefore be seen that by reversing the line of argument, Einstein’s theory may be considered as a very direct support of the latter relation. In the following discussion of the application of the quantum theory to determine the line–spectrum of a given system, it will, just as in the theory ...
... If will therefore be seen that by reversing the line of argument, Einstein’s theory may be considered as a very direct support of the latter relation. In the following discussion of the application of the quantum theory to determine the line–spectrum of a given system, it will, just as in the theory ...
= ∫ ∫ - at www.arxiv.org.
... three Josephson junctions and the spin – ½ of electron. a, Normalized persistent current Iq/Iq,1/2 as a function of the external magnetic flux Φ/Φ0 penetrating the flux qubit loop measured by the authors [34] at the temperature T = 0.025 K. Each open circle represents the results of many single-shot ...
... three Josephson junctions and the spin – ½ of electron. a, Normalized persistent current Iq/Iq,1/2 as a function of the external magnetic flux Φ/Φ0 penetrating the flux qubit loop measured by the authors [34] at the temperature T = 0.025 K. Each open circle represents the results of many single-shot ...
QUANTUM DOTS - Electrical and Computer Engineering
... TWO ELECTRONS, EACH FREE TO TUNNEL TO ANY SITE IN THE CELL, THESE ELECTRONS WILL TRY TO OCCUPY THE FURTHEST POSSIBLE SITE WITH RESPECT TO EACH OTHER DUE TO MUTUALELECTROSTATIC REPULSION. THEREFORE, TWO DISTINGUISHABLE CELL STATES EXIST. 2) SHOWS THE TWO POSSIBLE MINIMUM ENERGY STATES OF A QUANTUM-DO ...
... TWO ELECTRONS, EACH FREE TO TUNNEL TO ANY SITE IN THE CELL, THESE ELECTRONS WILL TRY TO OCCUPY THE FURTHEST POSSIBLE SITE WITH RESPECT TO EACH OTHER DUE TO MUTUALELECTROSTATIC REPULSION. THEREFORE, TWO DISTINGUISHABLE CELL STATES EXIST. 2) SHOWS THE TWO POSSIBLE MINIMUM ENERGY STATES OF A QUANTUM-DO ...
A Quantum-Mechanical Argument for Mind
... Here the composite system is either in a state where Einstein determinately records that the bed is in the room because it is or where Einstein determinately records that the bed is not in the room because it isn’t; and, given the symmetry of the initial state, each with probability 1/2. In either c ...
... Here the composite system is either in a state where Einstein determinately records that the bed is in the room because it is or where Einstein determinately records that the bed is not in the room because it isn’t; and, given the symmetry of the initial state, each with probability 1/2. In either c ...
Computing with Atoms and Molecules
... spins within molecules. Requirement 1 can be satisfied by using spins which are sufficiently isolated from the environment, and requirement 2 can be satisfied by using the naturally occurring magnetic interactions between spins. Unfortunately, it is difficult to initialize and read out the quantum s ...
... spins within molecules. Requirement 1 can be satisfied by using spins which are sufficiently isolated from the environment, and requirement 2 can be satisfied by using the naturally occurring magnetic interactions between spins. Unfortunately, it is difficult to initialize and read out the quantum s ...
Is Quantum Indeterminism Relevant to Free Will?
... unpredictable. To put the matter in more general terms: Either one takes the quantum probabilities to be the complete probabilities, and then one runs into the randomness objection. Or one goes for interactionism and assumes a regular influence of intentions, and then one is committed to the consequ ...
... unpredictable. To put the matter in more general terms: Either one takes the quantum probabilities to be the complete probabilities, and then one runs into the randomness objection. Or one goes for interactionism and assumes a regular influence of intentions, and then one is committed to the consequ ...
Non-perturbative Quantum Electrodynamics in low
... dimensional versions of QED can still excite the curiosity of theoreticians, as well as condensed matter physicists. Although interesting for their own sake, these theories provide also valuable playgrounds to study more realistic quantum field theories, as for example quantum chromodynamics. Beside ...
... dimensional versions of QED can still excite the curiosity of theoreticians, as well as condensed matter physicists. Although interesting for their own sake, these theories provide also valuable playgrounds to study more realistic quantum field theories, as for example quantum chromodynamics. Beside ...
These notes
... have involved sophisticated diagramatic techniques such as Feynman diagrams, which are all based on the existence of a well controlled limit of zero interaction Green’s function. It was realized in the fifties, with the theory of BCS superconductivity [8] that attractive interactions cause a breakdo ...
... have involved sophisticated diagramatic techniques such as Feynman diagrams, which are all based on the existence of a well controlled limit of zero interaction Green’s function. It was realized in the fifties, with the theory of BCS superconductivity [8] that attractive interactions cause a breakdo ...
Criticality at the Haldane-insulator charge-density
... most fascinating objects of investigation in solid state physics [1–3]. Topological states may arise from topological band structures or interactions. The order associated with these phases can be described by topological invariants that are insensitive to gradual changes of the system parameters. A ...
... most fascinating objects of investigation in solid state physics [1–3]. Topological states may arise from topological band structures or interactions. The order associated with these phases can be described by topological invariants that are insensitive to gradual changes of the system parameters. A ...
PROBABILITIES FOR SINGLE EVENTS
... Even apart from quantum mechanics, there is no certainty in this world and therefore physics deals in probabilities. It deals most generally with the probabilities for alternative time histories of the universe. From these, conditional probabilities appropriate when information about our specific hi ...
... Even apart from quantum mechanics, there is no certainty in this world and therefore physics deals in probabilities. It deals most generally with the probabilities for alternative time histories of the universe. From these, conditional probabilities appropriate when information about our specific hi ...
classical simulation of restricted quantum computations
... be well-approximated by a quantum circuit containing only those gates (by some appropriate notion of well-approximated). Thus, only these gates are necessary to build circuits that can execute any quantum computation. An example set of universal quantum gates is the Hadamard gate, the controlled-NOT ...
... be well-approximated by a quantum circuit containing only those gates (by some appropriate notion of well-approximated). Thus, only these gates are necessary to build circuits that can execute any quantum computation. An example set of universal quantum gates is the Hadamard gate, the controlled-NOT ...
X 5 Berry phase in solid state physics
... If the parameter space is two dimensional, then one can use Stokes’ theorem to transform the line integral to a surface integral, ...
... If the parameter space is two dimensional, then one can use Stokes’ theorem to transform the line integral to a surface integral, ...
Resonances in chiral effective field theory Jambul Gegelia
... Issue of perturbative unitarity of the S-matrix in the CMS is still open. Lagrangian does not change → Unitarity is not violated in exact theory. Perturbation theory is based on order-by-order approximation to the exact results → Not obvious that the approximate expressions to the S-matrix satisfy u ...
... Issue of perturbative unitarity of the S-matrix in the CMS is still open. Lagrangian does not change → Unitarity is not violated in exact theory. Perturbation theory is based on order-by-order approximation to the exact results → Not obvious that the approximate expressions to the S-matrix satisfy u ...