Correlation between Averages Times of Random Walks
... Twenty selected countries maps from around the World were investigated to determine their random walk parameters and their fractal dimensions. The images (maps) were scanned, burned and saved as black and white Jpeg files. A program – visual basic 6.0 was developed for fractal dimensions and random ...
... Twenty selected countries maps from around the World were investigated to determine their random walk parameters and their fractal dimensions. The images (maps) were scanned, burned and saved as black and white Jpeg files. A program – visual basic 6.0 was developed for fractal dimensions and random ...
Recent progress in additive prime number theory
... almost primes, which behave like a random subset of the entire integers. (Here we use a particular notion of the almost primes, studied by Goldston and Yıldırım in their work on prime gaps. Because of this, one can show that the random model for the primes contain a random subset of a dense subset o ...
... almost primes, which behave like a random subset of the entire integers. (Here we use a particular notion of the almost primes, studied by Goldston and Yıldırım in their work on prime gaps. Because of this, one can show that the random model for the primes contain a random subset of a dense subset o ...
Perspectives on organisms.
... century or so. There is no sign that we are at the end of this process. Nor would it be safe to assume that, even if it did seem to be true. It seemed true to early and midnineteenth century biologists, such as Jean-Baptiste Lamarck, Claude Bernard, and many others. They could assume, with Laplace, ...
... century or so. There is no sign that we are at the end of this process. Nor would it be safe to assume that, even if it did seem to be true. It seemed true to early and midnineteenth century biologists, such as Jean-Baptiste Lamarck, Claude Bernard, and many others. They could assume, with Laplace, ...
Lecture I: Collective Excitations: From Particles to Fields Free Scalar
... • Low-energy excitations of discrete model involve slowly varying collective modes; i.e. each mode involves many atoms; • Low-energy (k → 0) 7→ long-wavelength excitations, i.e. universal, insensitive to microscopic detail; • Allows many different systems to be mapped onto a few classical field theo ...
... • Low-energy excitations of discrete model involve slowly varying collective modes; i.e. each mode involves many atoms; • Low-energy (k → 0) 7→ long-wavelength excitations, i.e. universal, insensitive to microscopic detail; • Allows many different systems to be mapped onto a few classical field theo ...
quantum - Word Format
... Abstract: Church’s Thesis states that any computable algorithm can be processed by a Turing machine. Although not a formal proof, for over sixty years since the invention of the Turing machine, this assertion has remained largely unchallenged, and many computational models have been proven reducible ...
... Abstract: Church’s Thesis states that any computable algorithm can be processed by a Turing machine. Although not a formal proof, for over sixty years since the invention of the Turing machine, this assertion has remained largely unchallenged, and many computational models have been proven reducible ...
Mirror symmetry and T -duality in the complement of
... carries a nonvanishing holomorphic n-form Ω = σ −1 . By analogy with the Calabi-Yau situation, for a given φ ∈ R we make the following definition: Definition 2.1. A Lagrangian submanifold L ⊂ X \ D is special Lagrangian with phase φ if Im (e−iφ Ω)|L = 0. Multiplying Ω by e−iφ if necessary, in the res ...
... carries a nonvanishing holomorphic n-form Ω = σ −1 . By analogy with the Calabi-Yau situation, for a given φ ∈ R we make the following definition: Definition 2.1. A Lagrangian submanifold L ⊂ X \ D is special Lagrangian with phase φ if Im (e−iφ Ω)|L = 0. Multiplying Ω by e−iφ if necessary, in the res ...
Quantum spin systems from the perspective of quantum
... – It turns out to be much more efficient and convenient to work with the purification of r; r is obtained by tracing over the auxiliary systems ak : ...
... – It turns out to be much more efficient and convenient to work with the purification of r; r is obtained by tracing over the auxiliary systems ak : ...
Slater decomposition of fractional quantum Hall states
... quantum Hall states Consider a system of electrons confined in a plane and subject to a constant perpendicular magnetic field B. When a current flows through it, the sample will show the so called Hall effect [Hal79], i.e. will generate a transverse potential drop. The resistivity tensor ρ will be a ...
... quantum Hall states Consider a system of electrons confined in a plane and subject to a constant perpendicular magnetic field B. When a current flows through it, the sample will show the so called Hall effect [Hal79], i.e. will generate a transverse potential drop. The resistivity tensor ρ will be a ...
Theory and simulation of polar and nonpolar polarizable fluids
... because the vibrational amplitudes of the Drude oscillators are very small, 0( JkT). Zero point fluctuations in quantum systems give large amplitudes and correspondingly much larger dispersion interactions (see Ref. 30). In most simulations only the two-body part of the dispersion interaction is usu ...
... because the vibrational amplitudes of the Drude oscillators are very small, 0( JkT). Zero point fluctuations in quantum systems give large amplitudes and correspondingly much larger dispersion interactions (see Ref. 30). In most simulations only the two-body part of the dispersion interaction is usu ...
The next stage: quantum game theory
... to find them. Nevertheless one can present some strong arguments for developing quantum theory of games. Modern technologies are developed mostly due to investigation into the quantum nature of matter. The results of recent experiments in nanotechnology, quantum dots and molecular physics are very pr ...
... to find them. Nevertheless one can present some strong arguments for developing quantum theory of games. Modern technologies are developed mostly due to investigation into the quantum nature of matter. The results of recent experiments in nanotechnology, quantum dots and molecular physics are very pr ...
Driven Quantum Systems - Physik Uni
... an inversion symmetry [10]. The possibility of controlling quantum dynamics by application of shape- and phase-designed pulse perturbations is elucidated in Sect. 5.7 with a time-dependent dipole coupling between two Born-Oppenheimer surfaces. Conclusions and an outlook are given in the final Sect. ...
... an inversion symmetry [10]. The possibility of controlling quantum dynamics by application of shape- and phase-designed pulse perturbations is elucidated in Sect. 5.7 with a time-dependent dipole coupling between two Born-Oppenheimer surfaces. Conclusions and an outlook are given in the final Sect. ...
Spin as Primordial Self-Referential Process
... generates our perceptions of spacetime. Do we have any supporting arguments? The answer is also „Yes.‰ As already discussed earlier, spin is deeply connected to the microscopic structure of spacetime as reflected by the Dirac equation for fermions (Dirac, 1928). Indeed, Penrose (1960 & 1967) had con ...
... generates our perceptions of spacetime. Do we have any supporting arguments? The answer is also „Yes.‰ As already discussed earlier, spin is deeply connected to the microscopic structure of spacetime as reflected by the Dirac equation for fermions (Dirac, 1928). Indeed, Penrose (1960 & 1967) had con ...
Three Roads To Quantum Gravity
... they make about observation and reality. If we are not careful to spell them out, confusion can and will occur when we try to compare descriptions of the world that come out of different theories. In this book we shall be concerned with two very basic ways in which theories may differ. The ®rst is i ...
... they make about observation and reality. If we are not careful to spell them out, confusion can and will occur when we try to compare descriptions of the world that come out of different theories. In this book we shall be concerned with two very basic ways in which theories may differ. The ®rst is i ...
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 ...
The stuff the world is made of: physics and reality
... perspective following from this human interaction. We can only observe the universe from the earth, and this gave us the perspective that the earth plays a central role. In an analogous way we can only observe the micro-world from our position in the macro-world; this forces us to extend the concept ...
... perspective following from this human interaction. We can only observe the universe from the earth, and this gave us the perspective that the earth plays a central role. In an analogous way we can only observe the micro-world from our position in the macro-world; this forces us to extend the concept ...
How to program a quantum computer
... computer is when a qubit is in a superposition they can be a probability of two states(spin up, spin down in relative to the measurement) and due to that in a 2 bit quantum entanglement like the diagram showed on the left, need 4 confident information to solve because qubits can be in the probabilit ...
... computer is when a qubit is in a superposition they can be a probability of two states(spin up, spin down in relative to the measurement) and due to that in a 2 bit quantum entanglement like the diagram showed on the left, need 4 confident information to solve because qubits can be in the probabilit ...
