1997/04 - 1998/03
... This large frustration leads to various anomalous properties CuGeO3 possesses. For comparison we refer also to α0 -NaV2 O5 [6]. 4. Statistical physics for one-dimensional models Elementary excitations of the Calogero-Sutherland (CS) model with SU(K) internal symmetry is studied [7]. From the results ...
... This large frustration leads to various anomalous properties CuGeO3 possesses. For comparison we refer also to α0 -NaV2 O5 [6]. 4. Statistical physics for one-dimensional models Elementary excitations of the Calogero-Sutherland (CS) model with SU(K) internal symmetry is studied [7]. From the results ...
From Physics to Information Theory and Back - Philsci
... about possibilities of information processing and transmission—the results obtained, and the frameworks developed, have interest even for those of us who are not of that conviction. Indeed, much of the recent work echoes, and builds upon, work that predates the inception of quantum information theo ...
... about possibilities of information processing and transmission—the results obtained, and the frameworks developed, have interest even for those of us who are not of that conviction. Indeed, much of the recent work echoes, and builds upon, work that predates the inception of quantum information theo ...
A Brief Introduction into Quantum Gravity and Quantum Cosmology
... We know today, in fact, that our classical mechanics fails for very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compar ...
... We know today, in fact, that our classical mechanics fails for very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compar ...
On Gauge Invariance and Covariant Derivatives in Metric Spaces
... In this article, we will discuss a few aspects of geometry relevant to a quantum theory of gravity. We will also give an alternate proof of the Poisson equation in electrostatics. In Sec.II, we will discuss the issue of construction of a covariant derivative operator in a quantum theory of gravity. ...
... In this article, we will discuss a few aspects of geometry relevant to a quantum theory of gravity. We will also give an alternate proof of the Poisson equation in electrostatics. In Sec.II, we will discuss the issue of construction of a covariant derivative operator in a quantum theory of gravity. ...
Topological Coherence and Decoherence
... (a particle moving in a periodic potential, coupled to an oscillator bath). Combining these gives a model in which W.A.H. particles couple dissipatively to an oscillator bath. This model is believed to have an SL(2,Z) symmetry, in common with some other field theories which attempt to describe the F ...
... (a particle moving in a periodic potential, coupled to an oscillator bath). Combining these gives a model in which W.A.H. particles couple dissipatively to an oscillator bath. This model is believed to have an SL(2,Z) symmetry, in common with some other field theories which attempt to describe the F ...
hosted here - Jeffrey C. Morton
... a categorification of a set-based structure is to make one recognizable by the fact that the original structure appears when we “decategorify” it. A special type of categorification is called “groupoidification” [2], since a groupoid is a special type of category. It again amounts to reversing a pro ...
... a categorification of a set-based structure is to make one recognizable by the fact that the original structure appears when we “decategorify” it. A special type of categorification is called “groupoidification” [2], since a groupoid is a special type of category. It again amounts to reversing a pro ...
simulate quantum systems
... Feynman’s discussion [1] of the computational difficulties associated with the simulation of quantum mechanical systems hinges on the exponential growth of the size of Hilbert space with the number of particles in the system. Keeping track of all degrees of freedom is thus a computationally expensiv ...
... Feynman’s discussion [1] of the computational difficulties associated with the simulation of quantum mechanical systems hinges on the exponential growth of the size of Hilbert space with the number of particles in the system. Keeping track of all degrees of freedom is thus a computationally expensiv ...
- Philsci
... separate constituents of scientific theories from one another in characterizing empirical success: Philip Kitcher and Stathis Psillos contend that we can justifiably believe those, and only those, constituents that are deserving of credit for the significant successes of the theory. Kitcher says, we ...
... separate constituents of scientific theories from one another in characterizing empirical success: Philip Kitcher and Stathis Psillos contend that we can justifiably believe those, and only those, constituents that are deserving of credit for the significant successes of the theory. Kitcher says, we ...
PHENOMENOLOGICAL QUANTUM GRAVITY
... Most of the tests of hypotheses about quantum gravity in this regime concern the symmetries of spacetime which are assumed in particle physics. Indeed, the most fundamental question one can ask about a physical system is what is the symmetry of its ground state. We know that in classical physics, th ...
... Most of the tests of hypotheses about quantum gravity in this regime concern the symmetries of spacetime which are assumed in particle physics. Indeed, the most fundamental question one can ask about a physical system is what is the symmetry of its ground state. We know that in classical physics, th ...
Phase Space Geometry in Classical and Quantum Mechanics
... by hφ|ψi taken to be linear in the right hand vector and antilinear in the left hand vector. Linear operators act on vectors and yield new vectors, and in the quantum mechanics of a single canonical system, two basic operators are P and Q, an irreducible pair, which satisfy the Heisenberg commutatio ...
... by hφ|ψi taken to be linear in the right hand vector and antilinear in the left hand vector. Linear operators act on vectors and yield new vectors, and in the quantum mechanics of a single canonical system, two basic operators are P and Q, an irreducible pair, which satisfy the Heisenberg commutatio ...
Review of D.Bakry, I.Gentil, M.Ledoux, “Analysis and Geometry of
... such process gives rise, through averaging, to a family of linear operators (Pt , t ≥ 0) on the space of bounded measurable functions on M . To be precise, for each such function f and x ∈ M , (Pt f )(x) = Ex (f (X(t))), where Ex is mathematical expectation (i.e. a Lebesgue integral with respect to ...
... such process gives rise, through averaging, to a family of linear operators (Pt , t ≥ 0) on the space of bounded measurable functions on M . To be precise, for each such function f and x ∈ M , (Pt f )(x) = Ex (f (X(t))), where Ex is mathematical expectation (i.e. a Lebesgue integral with respect to ...
2014-15 Archived Abstracts
... revolutionary progress with the advent of the density matrix renormalization group. In modern language, this method can be viewed as a variational optimization over the set of matrix product states (MPS). Due to their perimeter law entanglement, 2D systems such as the fractional quantum Hall effect ...
... revolutionary progress with the advent of the density matrix renormalization group. In modern language, this method can be viewed as a variational optimization over the set of matrix product states (MPS). Due to their perimeter law entanglement, 2D systems such as the fractional quantum Hall effect ...
Werner Heisenberg - Nobel Lecture
... of parameters corresponding to the Fourier coefficients of classical motion along a path. These, however, are no longer classified by the energy of state and the number of the corresponding harmonic vibration, but are in each case associated with two stationary states of the atom, and are a measure ...
... of parameters corresponding to the Fourier coefficients of classical motion along a path. These, however, are no longer classified by the energy of state and the number of the corresponding harmonic vibration, but are in each case associated with two stationary states of the atom, and are a measure ...
PHYSICS VS. SEMANTICS: A PUZZLING CASE
... On this criterion, obviously, Newtonian mechanics is different when compared to any version of quantum theory, but Copenhagen, GRW and the rest are still the same theory in (presumably) different interpretations. However, it is almost self-evident that (3) is epistemologically senseless. Understandi ...
... On this criterion, obviously, Newtonian mechanics is different when compared to any version of quantum theory, but Copenhagen, GRW and the rest are still the same theory in (presumably) different interpretations. However, it is almost self-evident that (3) is epistemologically senseless. Understandi ...
pptx
... [Brandão-H. 1310.0017] Application: “No low-energy trivial states” conjecture [Freedman-Hastings] states that there exist Hamiltonians where all low-energy states have topological order. ∴ This can only be possible with low coordination number. ...
... [Brandão-H. 1310.0017] Application: “No low-energy trivial states” conjecture [Freedman-Hastings] states that there exist Hamiltonians where all low-energy states have topological order. ∴ This can only be possible with low coordination number. ...
433
... this polarization, and most physicists who reflect on their craft would agree with her. She begins her analysis of the relations between quantum and classical physics by a sensitive and detailed exposition of the views of three quantum pioneers. Werner Heisenberg regarded classical and quantum mecha ...
... this polarization, and most physicists who reflect on their craft would agree with her. She begins her analysis of the relations between quantum and classical physics by a sensitive and detailed exposition of the views of three quantum pioneers. Werner Heisenberg regarded classical and quantum mecha ...