Mathematics - University of Calcutta
... (d) Discontinuity of function, type of discontinuity. Step function. Piecewise continuity. Monotone function. Monotone function can have only jump discontinuity. Set of points of discontinuity of a monotone function is at most countable. Monotone bijective function from an interval to an interval is ...
... (d) Discontinuity of function, type of discontinuity. Step function. Piecewise continuity. Monotone function. Monotone function can have only jump discontinuity. Set of points of discontinuity of a monotone function is at most countable. Monotone bijective function from an interval to an interval is ...
Slater decomposition of fractional quantum Hall states
... Lz commutes with H since it is function of H, X and Y . Moreover, the first term is again in the form of a 1D harmonic oscillator. Ladder operators for X and Y are introduced as ...
... Lz commutes with H since it is function of H, X and Y . Moreover, the first term is again in the form of a 1D harmonic oscillator. Ladder operators for X and Y are introduced as ...
Exponential algorithmic speedup by quantum walk Andrew M. Childs, Richard Cleve, Enrico Deotto,
... each edge of the graph is assigned a color, where the total number of colors is k = poly(log N ). We say that a coloring is consistent if no vertex is incident with two edges of the same color. Although we might want to use more than the minimal number of colors for a particular application, any gra ...
... each edge of the graph is assigned a color, where the total number of colors is k = poly(log N ). We say that a coloring is consistent if no vertex is incident with two edges of the same color. Although we might want to use more than the minimal number of colors for a particular application, any gra ...
THE PRIMARY PHENOMENOLOGICAL SYMBOLIC PROCESS OF
... the molecular intracellular processes (’’automata-metaphor’’ (Balázs, 2015b)), we are content with a phenomenological conditional probability (informational) description. Recently, we have proposed a theoretical frame for the physical origin and basis of the primary fundamental life process (Balázs, ...
... the molecular intracellular processes (’’automata-metaphor’’ (Balázs, 2015b)), we are content with a phenomenological conditional probability (informational) description. Recently, we have proposed a theoretical frame for the physical origin and basis of the primary fundamental life process (Balázs, ...
How Quantum Computers Fail - Einstein Institute of Mathematics
... based on the individual qubits.) In contrast, we can regard the subspace of bosonic states as a quantum code, and the type of noise we expect amounts to having a mixed state between the intended bosonic state and other bosonic states. Such a noise does not exhibit a strong dependence on the computa ...
... based on the individual qubits.) In contrast, we can regard the subspace of bosonic states as a quantum code, and the type of noise we expect amounts to having a mixed state between the intended bosonic state and other bosonic states. Such a noise does not exhibit a strong dependence on the computa ...
Phase-controlled localization and directed
... 17. F. Dreisow, Y. V. Kartashov, M. Heinrich, V. A. Vysloukh, A. Tünnermann, S. Nolte, L. Torner, S. Longhi, and A. Szameit, “Spatial light rectification in an optical waveguide lattice,” Europhys. Lett. 101, 44002 (2013). 18. R.-G. Wan and T.-Y. Zhang, “Two-dimensional sub-half-wavelength atom loc ...
... 17. F. Dreisow, Y. V. Kartashov, M. Heinrich, V. A. Vysloukh, A. Tünnermann, S. Nolte, L. Torner, S. Longhi, and A. Szameit, “Spatial light rectification in an optical waveguide lattice,” Europhys. Lett. 101, 44002 (2013). 18. R.-G. Wan and T.-Y. Zhang, “Two-dimensional sub-half-wavelength atom loc ...
Quantum neural networks
... interconnection strengths. A major dichotomization of neural networks can be realized by considering whether they are trained in a supervised or unsupervised manner. An example of the latter is the Hopfield model of content-addressable memory using the concept of attractor states [9]. We shall argue ...
... interconnection strengths. A major dichotomization of neural networks can be realized by considering whether they are trained in a supervised or unsupervised manner. An example of the latter is the Hopfield model of content-addressable memory using the concept of attractor states [9]. We shall argue ...
On neoclassical impurity transport in stellarator geometry
... 3. Impurity particle transport in the presence of Φ̃ (θ) The code GSRAKE solves the ripple-averaged drift kinetic equation providing, apart from the neoclassical fluxes, the first order corrections to the equilibrium density and electrostatic potential ñ (r, θ) and Φ̃ (r, θ). The magnetic configura ...
... 3. Impurity particle transport in the presence of Φ̃ (θ) The code GSRAKE solves the ripple-averaged drift kinetic equation providing, apart from the neoclassical fluxes, the first order corrections to the equilibrium density and electrostatic potential ñ (r, θ) and Φ̃ (r, θ). The magnetic configura ...
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... Figure 2. Representation of a coherent state in phase space by its Wigner function. The state has a field amplitude a ¼ jaj exp (if); the integration over one quadrature yields the probabilities to measure specific values for the conjugate quadrature as indicated in the figure. The corresponding probab ...
... Figure 2. Representation of a coherent state in phase space by its Wigner function. The state has a field amplitude a ¼ jaj exp (if); the integration over one quadrature yields the probabilities to measure specific values for the conjugate quadrature as indicated in the figure. The corresponding probab ...
Normal and Anomalous Diffusion: A Tutorial
... The art of doing research in physics usually starts with the observation of a natural phenomenon. Then follows a qualitative idea on ”How the phenomenon can be interpreted”, and one proceeds with the construction of a model equation or a simulation, with the aim that it resembles very well the obser ...
... The art of doing research in physics usually starts with the observation of a natural phenomenon. Then follows a qualitative idea on ”How the phenomenon can be interpreted”, and one proceeds with the construction of a model equation or a simulation, with the aim that it resembles very well the obser ...
Comp_Phys-ito
... We conclude this chapter sketching the extension of the stochastic calculus formalism to the multidimensional case. The generalization is straightforward: nothing actually change but a slight modification of the notations. The starting point is, as usual, a stochastic basis in usual ipothesis where ...
... We conclude this chapter sketching the extension of the stochastic calculus formalism to the multidimensional case. The generalization is straightforward: nothing actually change but a slight modification of the notations. The starting point is, as usual, a stochastic basis in usual ipothesis where ...
CLASSICAL FIELDS - Instituto de Física Teórica
... multiply t by some velocity. In Classical Physics, all velocities change in the same way, and so that the 0-th component would have strange transformation properties. In Special Relativity there exists a universal velocity, the velocity of light c, which is the same in every reference frame. It is t ...
... multiply t by some velocity. In Classical Physics, all velocities change in the same way, and so that the 0-th component would have strange transformation properties. In Special Relativity there exists a universal velocity, the velocity of light c, which is the same in every reference frame. It is t ...
Lectures on Electric-Magnetic Duality and the Geometric
... term in the action depends only on the topology of E and therefore does not affect the classical equations of motion. But it does affect the action and therefore has to be considered in the quantum theory. In fact, if we sum over all isomorphism classes of E, i.e. define the path-integral as XZ Z= D ...
... term in the action depends only on the topology of E and therefore does not affect the classical equations of motion. But it does affect the action and therefore has to be considered in the quantum theory. In fact, if we sum over all isomorphism classes of E, i.e. define the path-integral as XZ Z= D ...
