Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
... In addition we also study the limiting behaviors of the solutions given by FeynmanKac type formulas in terms of large deviations. In particular we show in detail that these limiting behaviors have exactly the same patterns as the semiclassical limits of (Euclidean) quantum mechanics in several speci ...
... In addition we also study the limiting behaviors of the solutions given by FeynmanKac type formulas in terms of large deviations. In particular we show in detail that these limiting behaviors have exactly the same patterns as the semiclassical limits of (Euclidean) quantum mechanics in several speci ...
Fully nonlocal quantum correlations
... quantum versus general nonsignalling correlations: there exist correlations that, despite being compatible with the no-signalling principle, cannot be obtained by performing local measurements on any quantum system [2]. In particular, there exist nonsignalling correlations that exhibit stronger nonl ...
... quantum versus general nonsignalling correlations: there exist correlations that, despite being compatible with the no-signalling principle, cannot be obtained by performing local measurements on any quantum system [2]. In particular, there exist nonsignalling correlations that exhibit stronger nonl ...
"Liquid-State NMR Quantum Computing" in
... Classical and quantum computers both represent information in the form of binary digits (bit). When we use spins for representing information, we arbitrarily assign “0” to a spin up and “1” to a spin down. As shown in Figure 1, we need a sufficiently large number of spins to store the information th ...
... Classical and quantum computers both represent information in the form of binary digits (bit). When we use spins for representing information, we arbitrarily assign “0” to a spin up and “1” to a spin down. As shown in Figure 1, we need a sufficiently large number of spins to store the information th ...
Viscosity of a nucleonic fluid
... by Barker [16] and latter Heiselberg [17]. A Monte Carlo numerical study of the unitary limit of pure neutron matter is given in Ref. [18]. Analytic studies of pure neutron systems can be found in the extensive work of Bulgac and collaborators [19-21]. In these studies the dimensionless factor 0 ...
... by Barker [16] and latter Heiselberg [17]. A Monte Carlo numerical study of the unitary limit of pure neutron matter is given in Ref. [18]. Analytic studies of pure neutron systems can be found in the extensive work of Bulgac and collaborators [19-21]. In these studies the dimensionless factor 0 ...
Liquid-State NMR Quantum Computing
... Classical and quantum computers both represent information in the form of binary digits (bit). When we use spins for representing information, we arbitrarily assign “0” to a spin up and “1” to a spin down. As shown in Figure 1, we need a sufficiently large number of spins to store the information th ...
... Classical and quantum computers both represent information in the form of binary digits (bit). When we use spins for representing information, we arbitrarily assign “0” to a spin up and “1” to a spin down. As shown in Figure 1, we need a sufficiently large number of spins to store the information th ...
Classical-field description of the quantum effects
... In this case, the Dirac equation and its specific cases (Klein-Gordon, Pauli and Schrödinger) should be considered to be the usual field equations of a classical electron wave field, similar to Maxwell’s equations for classical electromagnetic fields. As was shown in [10], considering the electron w ...
... In this case, the Dirac equation and its specific cases (Klein-Gordon, Pauli and Schrödinger) should be considered to be the usual field equations of a classical electron wave field, similar to Maxwell’s equations for classical electromagnetic fields. As was shown in [10], considering the electron w ...
Duo: A general program for calculating spectra of diatomic molecules
... Duo also has auxiliary capabilities such as interpolating and extrapolating curves and calculating lists of line positions and line intensities (so-called line lists). Duo is currently being used as part of the ExoMol project [46], whose aim is to generate high-temperature spectra for all molecules ...
... Duo also has auxiliary capabilities such as interpolating and extrapolating curves and calculating lists of line positions and line intensities (so-called line lists). Duo is currently being used as part of the ExoMol project [46], whose aim is to generate high-temperature spectra for all molecules ...
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann
... where each HCa depends only on clause Ca and acts only on the bits in Ca . H(t) is defined for t between 0 and T and is slowly varying. The initial state, which is always the same and easy to construct, is the ground state of H(0). For each a, the ground state of HCa (T ) encodes the satisfying assi ...
... where each HCa depends only on clause Ca and acts only on the bits in Ca . H(t) is defined for t between 0 and T and is slowly varying. The initial state, which is always the same and easy to construct, is the ground state of H(0). For each a, the ground state of HCa (T ) encodes the satisfying assi ...
Parity violation in atoms
... of opposite parities. They noted that there was at that time no experimental evidence for parity conservation in transitions which, like the K decay, were induced by weak interactions. They devised new rules to test parity conservation in processes where the initial and final states have not necessa ...
... of opposite parities. They noted that there was at that time no experimental evidence for parity conservation in transitions which, like the K decay, were induced by weak interactions. They devised new rules to test parity conservation in processes where the initial and final states have not necessa ...
Final Exam Review 1st semester Geometry
... 84. On a blueprint, the scale indicates that 4 cm represent 18 feet. What is the length of a room that is 7.2 cm long and 6 cm wide on the blueprint? 85. ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 50. Find YZ. The figures are not drawn to scale. B ...
... 84. On a blueprint, the scale indicates that 4 cm represent 18 feet. What is the length of a room that is 7.2 cm long and 6 cm wide on the blueprint? 85. ABCD ~ WXYZ. AD = 6, DC = 3, and WZ = 50. Find YZ. The figures are not drawn to scale. B ...
1905, ANNUS MIRABILIS: THE ROOTS OF THE
... Does it not seem that there is here some sort of a priori choice about the kind of physical or formal description of physical processes? A choice that leaves out others (which Dirac does mention), that were possible in principle, but were not appropriate for the new purposes of physics. Einstein, as ...
... Does it not seem that there is here some sort of a priori choice about the kind of physical or formal description of physical processes? A choice that leaves out others (which Dirac does mention), that were possible in principle, but were not appropriate for the new purposes of physics. Einstein, as ...
Alleviating tuning sensitivity in Approximate Dynamic Programming
... the weighted 1-norm is k f k1,c = X |f (x)|c(dx). The term intractable is used throughout the paper. We loosely define intractable to mean that the computational burden of any existing solution method prohibits finding a solution in reasonable time. II. DYNAMIC P ROGRAMMING (DP) F ORMULATION This se ...
... the weighted 1-norm is k f k1,c = X |f (x)|c(dx). The term intractable is used throughout the paper. We loosely define intractable to mean that the computational burden of any existing solution method prohibits finding a solution in reasonable time. II. DYNAMIC P ROGRAMMING (DP) F ORMULATION This se ...
Quantum Operating Systems - Henry Corrigan
... The last few years have seen tremendous progress towards the construction of non-trivial quantum computers [7, 23, 29]. A number of start-ups are working towards commercializing the technology, NIST is standardizing new “post-quantum” cryptosystems [41], and industry giants, including Google [20] an ...
... The last few years have seen tremendous progress towards the construction of non-trivial quantum computers [7, 23, 29]. A number of start-ups are working towards commercializing the technology, NIST is standardizing new “post-quantum” cryptosystems [41], and industry giants, including Google [20] an ...
Inertia and Momentum
... acceleration = Force/mass We also said that acceleration = ∆(velocity/time) Force/mass = ∆(velocity/time) multiply both sides by (mass x time) (Force)(time) = ∆(mass)(velocity) Impulse = ∆Momentum ...
... acceleration = Force/mass We also said that acceleration = ∆(velocity/time) Force/mass = ∆(velocity/time) multiply both sides by (mass x time) (Force)(time) = ∆(mass)(velocity) Impulse = ∆Momentum ...
CERN Teacher Programmes: Welcome to CERN!
... various combinations of charge exchange and spin exchange between nucleons with varying degrees of success, but none could produce complete and satisfactory quantitative explanations of observed nuclear phenomena. The way out of the difficulties was provided by Yukawa. Yukawa started his academic ca ...
... various combinations of charge exchange and spin exchange between nucleons with varying degrees of success, but none could produce complete and satisfactory quantitative explanations of observed nuclear phenomena. The way out of the difficulties was provided by Yukawa. Yukawa started his academic ca ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.