A Simply Regularized Derivation of the Casimir Force
... regularization. In the dimensional regularization method, although there isn’t an explicit subtraction for the regularization of the problem, as is clear from its name, the calculation is regularized dimensionally by going to a complex plane with a mathematically complicated/ambiguous approach. In t ...
... regularization. In the dimensional regularization method, although there isn’t an explicit subtraction for the regularization of the problem, as is clear from its name, the calculation is regularized dimensionally by going to a complex plane with a mathematically complicated/ambiguous approach. In t ...
A DIRECT PROOF OF THE QUANTUM VERSION OF MONK`S
... special Schubert varieties given by cyclic permutations, which is obtained using degeneracy loci formulas on hyper-quot schemes. In the present paper we give a direct geometric proof of the quantum Monk’s formula which relies only on classical Schubert calculus and the definition of Gromov-Witten in ...
... special Schubert varieties given by cyclic permutations, which is obtained using degeneracy loci formulas on hyper-quot schemes. In the present paper we give a direct geometric proof of the quantum Monk’s formula which relies only on classical Schubert calculus and the definition of Gromov-Witten in ...
1. Gravitational Thermodynamics and the Cosmological Constant
... Here it is crucial to address the history of conceiving Einstein’s Equations as purely classical equations, when they should have been conceived as purely quantum equations in which the matter represents the eigenfrequencies of the left hand side gravitational Hamiltonian. From equation (2.23) it is ...
... Here it is crucial to address the history of conceiving Einstein’s Equations as purely classical equations, when they should have been conceived as purely quantum equations in which the matter represents the eigenfrequencies of the left hand side gravitational Hamiltonian. From equation (2.23) it is ...
How to acknowledge hypercomputation? Alexander Leitsch , G¨unter Schachner
... As an analogy, consider Deutsch’s problem as one of the first problems which quantum computers could solve effectively. Consider a function that takes a single (classical) bit into a single (classical) bit. There are four such functions f1 , . . . , f4 , corresponding to all variations. One can spec ...
... As an analogy, consider Deutsch’s problem as one of the first problems which quantum computers could solve effectively. Consider a function that takes a single (classical) bit into a single (classical) bit. There are four such functions f1 , . . . , f4 , corresponding to all variations. One can spec ...
Lecture 12
... Distinguish between two classical coins, whose probabilities of “heads” are cos2(/8) and ½ respectively (details: exercise) Question: what do we do if we aren’t so lucky to get two density matrices that are simultaneously diagonalizable? ...
... Distinguish between two classical coins, whose probabilities of “heads” are cos2(/8) and ½ respectively (details: exercise) Question: what do we do if we aren’t so lucky to get two density matrices that are simultaneously diagonalizable? ...
PHYSICS III: Modern Essentials
... course material. However, you should feel free to discuss the assigned problems with your associates; in fact, it often helps to work in small groups. You should hand-write solutions on your own, legibly and understandably, because you need to fully grasp the material for yourself on quizzes and exa ...
... course material. However, you should feel free to discuss the assigned problems with your associates; in fact, it often helps to work in small groups. You should hand-write solutions on your own, legibly and understandably, because you need to fully grasp the material for yourself on quizzes and exa ...
14th european turbulence conference, 1
... Harvard University Abstract: A recent exact solution of the 3D Navier-Stokes aquation, the only exact solution published to date, shows a regular smooth solution for an initial one dimensional jet. The absence of what may be considered a turbulent solution raises questions about the origin of turbul ...
... Harvard University Abstract: A recent exact solution of the 3D Navier-Stokes aquation, the only exact solution published to date, shows a regular smooth solution for an initial one dimensional jet. The absence of what may be considered a turbulent solution raises questions about the origin of turbul ...
Identity Rule for Classical and Quantum Theories
... an orthomodular lattice cannot be expressed by means of either quantum or classical identity. Proof. Free orthomodular lattices with two generators (expressions with two elements) can be represented by the direct product OM6 × 24 (Beran, 1985). Denoting the elements of the Bollean algebra 24 by b1 = ...
... an orthomodular lattice cannot be expressed by means of either quantum or classical identity. Proof. Free orthomodular lattices with two generators (expressions with two elements) can be represented by the direct product OM6 × 24 (Beran, 1985). Denoting the elements of the Bollean algebra 24 by b1 = ...
Quantum description of Einstein`s Brownian motion
... we will base our microscopic analysis on the two key features of Einstein’s Brownian motion: homogeneity of the background medium, reflected in the property of translational invariance, and the atomic nature of matter responsible for density fluctuations, showing up in a suitable formulation of the ...
... we will base our microscopic analysis on the two key features of Einstein’s Brownian motion: homogeneity of the background medium, reflected in the property of translational invariance, and the atomic nature of matter responsible for density fluctuations, showing up in a suitable formulation of the ...
A Quantum Analog to Basis Function Networks
... Basis function networks [5] [6] [7] [8] represent functions as linear combinations of nonlinear functions. The most well-known employ a hidden layer of radial basis functions with a Gaussian response followed by an output layer of nodes with linear response. That is, the hidden nodes' response is Ga ...
... Basis function networks [5] [6] [7] [8] represent functions as linear combinations of nonlinear functions. The most well-known employ a hidden layer of radial basis functions with a Gaussian response followed by an output layer of nodes with linear response. That is, the hidden nodes' response is Ga ...
Centre for Logic and Philosophy of Science
... properties of the quantum mechanical scheme in the Dirac–Jordan formulation. The basic insight that can be gained from the thought experiment is the realization that every experimental situation “divides physical quantities into “known” and “unknown” (or more or less accurately known quantities) in ...
... properties of the quantum mechanical scheme in the Dirac–Jordan formulation. The basic insight that can be gained from the thought experiment is the realization that every experimental situation “divides physical quantities into “known” and “unknown” (or more or less accurately known quantities) in ...
Quantum computation and quantum information
... computational basis states are entangled • Maybe the measurements should not be carried out in the computational basis • It is not known whether the quantum circuit model constitute an optimum quantum computer language ...
... computational basis states are entangled • Maybe the measurements should not be carried out in the computational basis • It is not known whether the quantum circuit model constitute an optimum quantum computer language ...
Mixed quantum and classical processes in strong fields
... classical or virtual vs real. The distinction is at the heart of the useful technique in strong-field physics, wherein a quantum process is envisaged as being followed by a classical interaction between, for example, a photoelectron and the field that produced it. Despite the widespread use of this ...
... classical or virtual vs real. The distinction is at the heart of the useful technique in strong-field physics, wherein a quantum process is envisaged as being followed by a classical interaction between, for example, a photoelectron and the field that produced it. Despite the widespread use of this ...
The relation between wave vector and momentum in quantum
... introduced the same differential equations [13,14]. de Broglie-Bohm interpretation of quantum mechanics was unifying the wave and particle aspects of the quantum phenomenon, but the main problem was the absence of a physical picture of this wave-particle association in the macrocosmic scale. At leas ...
... introduced the same differential equations [13,14]. de Broglie-Bohm interpretation of quantum mechanics was unifying the wave and particle aspects of the quantum phenomenon, but the main problem was the absence of a physical picture of this wave-particle association in the macrocosmic scale. At leas ...
Transfer Matrices and Excitations with Matrix Product States
... shape (see static correlations) ● Phases of low lying coincide very precisely with momenta of minima in dispersion ● Values of low lying serve as first approximations to excitation energies and are related to these energies via characteristic velocities ...
... shape (see static correlations) ● Phases of low lying coincide very precisely with momenta of minima in dispersion ● Values of low lying serve as first approximations to excitation energies and are related to these energies via characteristic velocities ...
Chapter 27
... be made to tunnel preferentially from surface to tip The tip samples the distribution of electrons just above the surface The STM is very sensitive to the distance between the surface and the ...
... be made to tunnel preferentially from surface to tip The tip samples the distribution of electrons just above the surface The STM is very sensitive to the distance between the surface and the ...
Quantum Theory of the Atom
... Albert Einstein explained the observations as follows: • the kinetic energy of the ejected electron is the difference between the energy of the photon and the energy needed to dislodge the electron from the metal. • if the individual photons do not have sufficient energy to dislodge electrons, no ph ...
... Albert Einstein explained the observations as follows: • the kinetic energy of the ejected electron is the difference between the energy of the photon and the energy needed to dislodge the electron from the metal. • if the individual photons do not have sufficient energy to dislodge electrons, no ph ...