TOPOLOGY WITHOUT TEARS
... makes the study of topology relevant to all who aspire to be mathematicians whether their first love is (or will be) algebra, analysis, category theory, chaos, continuum mechanics, dynamics, geometry, industrial mathematics, mathematical biology, mathematical economics, mathematical finance, mathema ...
... makes the study of topology relevant to all who aspire to be mathematicians whether their first love is (or will be) algebra, analysis, category theory, chaos, continuum mechanics, dynamics, geometry, industrial mathematics, mathematical biology, mathematical economics, mathematical finance, mathema ...
ON THE THEORY OF
... which do not cut DC, how far soever they may be prolonged. In passing over from the cutting lines, as AF, to the not-cutting lines, as AG, we must come upon a line AH, parallel to DC, a boundary line, upon ...
... which do not cut DC, how far soever they may be prolonged. In passing over from the cutting lines, as AF, to the not-cutting lines, as AG, we must come upon a line AH, parallel to DC, a boundary line, upon ...
The Casimir Effect: Some Aspects
... Though this conjecture seemed to be very plausible, a rigorous demonstration was in order. Further, the precise expression of the van der Waals interaction for large distances (retarded regime) should be obtained. Motivated by the disagreement between experiments and theory described above, Casimir ...
... Though this conjecture seemed to be very plausible, a rigorous demonstration was in order. Further, the precise expression of the van der Waals interaction for large distances (retarded regime) should be obtained. Motivated by the disagreement between experiments and theory described above, Casimir ...
IMPRECISE MEASUREMENTS IN QUANTUM MECHANICS
... Quantum theory has shown that measurements need also theoretical examination. Soon after the birth of quantum theory the deep nature of the theoretical issues related to measurements were generally recognized. It became clear that the concept of measurement is not at all innocuous, and an extensive ...
... Quantum theory has shown that measurements need also theoretical examination. Soon after the birth of quantum theory the deep nature of the theoretical issues related to measurements were generally recognized. It became clear that the concept of measurement is not at all innocuous, and an extensive ...
Contributions to the Quantum Optics of Multi
... the behaviour of top researchers than the nice ones, and meeting them has been one of the most inspiring experiences on this regard, as now I know that one can be at the very top of science without compromising his kindness and integrity. On the other hand, if I have been any productive at all durin ...
... the behaviour of top researchers than the nice ones, and meeting them has been one of the most inspiring experiences on this regard, as now I know that one can be at the very top of science without compromising his kindness and integrity. On the other hand, if I have been any productive at all durin ...
Quantum computing with photons: introduction to the circuit model
... performed by a quantum circuit acting on quantum states. In section 4, measurement-based models of quantum computing are presented, where quantum information is processed by sequences of adaptive measurements. The one-way quantum computer, a special type of measurement-based quantum computer, is int ...
... performed by a quantum circuit acting on quantum states. In section 4, measurement-based models of quantum computing are presented, where quantum information is processed by sequences of adaptive measurements. The one-way quantum computer, a special type of measurement-based quantum computer, is int ...
General Properties of Quantum Zero
... zero-knowledge in which now zero-knowledge property holds only against the honest verifier who follows the specified protocol. Using this complete promise problem, they proved a number of general properties of HVSZK and simplified the proofs of several previously known results, including that HVSZK ...
... zero-knowledge in which now zero-knowledge property holds only against the honest verifier who follows the specified protocol. Using this complete promise problem, they proved a number of general properties of HVSZK and simplified the proofs of several previously known results, including that HVSZK ...
Schrödinger operators and their spectra
... In quantum mechanics, a physical system is not described in a (finite-dimensional) phase space, but in a (usually infinite-dimensional) Hilbert space H. It is customary to consider the Hilbert space over the complex field (natural setting for standard quantum mechanics) and to be separable (i.e. it ...
... In quantum mechanics, a physical system is not described in a (finite-dimensional) phase space, but in a (usually infinite-dimensional) Hilbert space H. It is customary to consider the Hilbert space over the complex field (natural setting for standard quantum mechanics) and to be separable (i.e. it ...
Studies in plausibility theory, with applications to physics
... for me just a difficult and obscure subject. Suddenly it was shown by Jaynes to be just a 1 To ...
... for me just a difficult and obscure subject. Suddenly it was shown by Jaynes to be just a 1 To ...
Quantum Measurement Theory
... 0.999 and P (1) = 0.001. This means that in the absence of any further data, x will only be equal to 1 one time in a thousand cases. Now let us consider a slightly different two-come measurement from the one above (this new choice will make the logic simple). The likelihood function for this new mea ...
... 0.999 and P (1) = 0.001. This means that in the absence of any further data, x will only be equal to 1 one time in a thousand cases. Now let us consider a slightly different two-come measurement from the one above (this new choice will make the logic simple). The likelihood function for this new mea ...
Abstract Experiments demonstrating entanglement swapping have
... the lesson that quantum states are neither descriptions nor representations of physical reality. In particular, it undermines the idea that ascribing an entangled state to quantum systems is a way of representing some new, non-classical, physical relation between them. (Healey 2012, 31) The idea of ...
... the lesson that quantum states are neither descriptions nor representations of physical reality. In particular, it undermines the idea that ascribing an entangled state to quantum systems is a way of representing some new, non-classical, physical relation between them. (Healey 2012, 31) The idea of ...
Technical Roadmap for Fault-Tolerant Quantum Computing
... An alternative approach is the network architecture 15, where the quantum computer is formed from many small modules, each consists of only a (relatively) small number of qubits, according to what is permissible by the technology used. These modules need to be linked together to perform inter-module ...
... An alternative approach is the network architecture 15, where the quantum computer is formed from many small modules, each consists of only a (relatively) small number of qubits, according to what is permissible by the technology used. These modules need to be linked together to perform inter-module ...
Explorations to Define a Theory of Foldable Great Circle Origami
... In the folklore of R. Buckminster Fuller’s Synergetics, the great circle “railroad tracks” transit “energy” inwardly and outwardly through the center of a sphere or omni-directionally around the great circles or to other inter-connected systems. Fuller illustrated these ideas with models built by fo ...
... In the folklore of R. Buckminster Fuller’s Synergetics, the great circle “railroad tracks” transit “energy” inwardly and outwardly through the center of a sphere or omni-directionally around the great circles or to other inter-connected systems. Fuller illustrated these ideas with models built by fo ...
The effects of disorder in strongly interacting quantum systems
... of interacting particles collectively change their state of matter, e.g. from liquid to solid, liquid to gas, magnetic to non-magnetic or a vast number of other possibilities. Classical phase transitions occur at finite temperature, where the transformation between phases is driven by thermal fluctu ...
... of interacting particles collectively change their state of matter, e.g. from liquid to solid, liquid to gas, magnetic to non-magnetic or a vast number of other possibilities. Classical phase transitions occur at finite temperature, where the transformation between phases is driven by thermal fluctu ...
![arXiv:math/0604265v2 [math.DG] 19 Jan 2014](http://s1.studyres.com/store/data/017891181_1-f9f7f7de55377b97bb28c343f7e3262a-300x300.png)
arXiv:math/0604265v2 [math.DG] 19 Jan 2014
... of a classical relativistic system at a point p can then only depend on events in the causal pastof p, and the state at p in turn can only influence the physics in the causal future J + (p) of p. The distinction of curves by their causal character corresponds to different elements of physical realit ...
... of a classical relativistic system at a point p can then only depend on events in the causal pastof p, and the state at p in turn can only influence the physics in the causal future J + (p) of p. The distinction of curves by their causal character corresponds to different elements of physical realit ...