Invitation to Local Quantum Physics
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
... The Bisognano-Wichmann Theorem The PCT theorem was used by J. Bisognano and E. Wichmann in 1976 to derive a structural result that is of fundamental importance for the application of Tomita-Takesaki modular theory in relativistic quantum field theory. Let W be a space-like wedge in space-time, i.e. ...
LECTURES ON SYMPLECTIC REFLECTION ALGEBRAS Setting. W
... φ(Θ(Fi )) form a completely integrable system (modulo ~, they generate a subalgebra isomorphic to S(h)W ). 13.4. Future directions. We have found first integrals for the classical CM system of type A in two different ways: using Hamiltonian reduction and using the Dunkl homomorphism. One can ask how t ...
... φ(Θ(Fi )) form a completely integrable system (modulo ~, they generate a subalgebra isomorphic to S(h)W ). 13.4. Future directions. We have found first integrals for the classical CM system of type A in two different ways: using Hamiltonian reduction and using the Dunkl homomorphism. One can ask how t ...
The Concept of Probability in Quantum Mechanics
... inadequacy of classical physics. The attempts to discover a theoretical structure for the new phenomena led at first to a confusion in which it appeared that light,and electrons, sometimes behaved like waves and sometimes like particles. This apparent inconsistency was completely resolved in 1926 an ...
... inadequacy of classical physics. The attempts to discover a theoretical structure for the new phenomena led at first to a confusion in which it appeared that light,and electrons, sometimes behaved like waves and sometimes like particles. This apparent inconsistency was completely resolved in 1926 an ...
Scientific discoveries limit our knowledge
... about the physical situation and the mutually-distant locations of the observers.8 Bohm’s claim that observer and observed must be totally distinct conveys this sense that all competent third parties, regardless of their location or perspective, would have to agree that observer and observed were se ...
... about the physical situation and the mutually-distant locations of the observers.8 Bohm’s claim that observer and observed must be totally distinct conveys this sense that all competent third parties, regardless of their location or perspective, would have to agree that observer and observed were se ...
Quantum Chemistry
... Quantum Theory and Matter Waves In classical physics, nature consists of matter and energy, which are distinct from one another. In quantum theory, mass and energy are not distinguished. Matter (electrons, neutrons, atoms, molecules,…) behaves like a wave and energy (= radiation: light, x-rays, γ,. ...
... Quantum Theory and Matter Waves In classical physics, nature consists of matter and energy, which are distinct from one another. In quantum theory, mass and energy are not distinguished. Matter (electrons, neutrons, atoms, molecules,…) behaves like a wave and energy (= radiation: light, x-rays, γ,. ...
Metric fluctuations and the weak equivalence principle
... fluctuations of spacetime geometry were analysed stemming from quantum fluctuations of matter fields in the context of a semiclassical theory of gravity. This leads to a stochastic behaviour of the metric tensor. Furthermore the effects of fluctuations of spacetime geometry leading to, e.g., lightco ...
... fluctuations of spacetime geometry were analysed stemming from quantum fluctuations of matter fields in the context of a semiclassical theory of gravity. This leads to a stochastic behaviour of the metric tensor. Furthermore the effects of fluctuations of spacetime geometry leading to, e.g., lightco ...
THE BLACK HOLE INTERPRETATION OF STRING THEORY 1
... and decay . Both these descriptions are as yet ill understood. It is argued in this paper that a lot of insight is to be gained by insisting that black holes and strings should be "unified" . Just like string theory, the horizon of a black hole is governed by some conformal operator algebra on a two ...
... and decay . Both these descriptions are as yet ill understood. It is argued in this paper that a lot of insight is to be gained by insisting that black holes and strings should be "unified" . Just like string theory, the horizon of a black hole is governed by some conformal operator algebra on a two ...
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model
... decay length fits well to L~ / J0 , with ’ 0:8, meaning a very rapid increase of L~ with decreasing dissipation strength . By comparing L~ with L for various parameters ; J0 we find that L~ L , with a dimensionless number of order one, weakly dependent on and J0 . As long as L < L ...
... decay length fits well to L~ / J0 , with ’ 0:8, meaning a very rapid increase of L~ with decreasing dissipation strength . By comparing L~ with L for various parameters ; J0 we find that L~ L , with a dimensionless number of order one, weakly dependent on and J0 . As long as L < L ...
Probability in Everettian quantum mechanics - Philsci
... which both outcomes of the measurement actually occur. The trick, then, is to reconcile the actual occurrence of every possible result of a given measurement with our experience of exactly one of the possible results. Everett’s insight was to relativize the experience of the observer to one of the ...
... which both outcomes of the measurement actually occur. The trick, then, is to reconcile the actual occurrence of every possible result of a given measurement with our experience of exactly one of the possible results. Everett’s insight was to relativize the experience of the observer to one of the ...
bohr`s semiclassical model of the black hole
... of the quantum field dynamics according to general transformations of coordinates, which implies that a wave can be considered as a complex mixture of the plane waves (this mixture can be effectively treated as the spectrum of the black body). Simplified, black hole can gravitationally interact with ...
... of the quantum field dynamics according to general transformations of coordinates, which implies that a wave can be considered as a complex mixture of the plane waves (this mixture can be effectively treated as the spectrum of the black body). Simplified, black hole can gravitationally interact with ...
Spin Flips and Quantum Information for Antiparallel Spins
... Surprisingly, however, as we show here, this conjecture is not true. The main reason behind this effect is, once more, entanglement. Here entanglement does not refer to the two spins—whether parallel or antiparallel they are always in a direct product state—but to the eigenvectors of the optimal mea ...
... Surprisingly, however, as we show here, this conjecture is not true. The main reason behind this effect is, once more, entanglement. Here entanglement does not refer to the two spins—whether parallel or antiparallel they are always in a direct product state—but to the eigenvectors of the optimal mea ...
Loop Quantum Gravity and Effective Matter Theories
... formulated in the pioneering work of T. Jacobson and L. Smolin, it has undergone a rapid increase of original ideas leading to profound insights and unexpected connections between: gravity, loops, knots and gauge theory. After two decades of active research in the field, the LQG approach is by now c ...
... formulated in the pioneering work of T. Jacobson and L. Smolin, it has undergone a rapid increase of original ideas leading to profound insights and unexpected connections between: gravity, loops, knots and gauge theory. After two decades of active research in the field, the LQG approach is by now c ...
0 - Department of Computer Science and Engineering, CUHK
... State space for 2 qubits: the space span{|00,|01,|10,|11} ...
... State space for 2 qubits: the space span{|00,|01,|10,|11} ...
May 31, 2014
... and algebra, but what is less known is that to him all these developments were motivated as part of a mathematical foundation of physics. Indeed Lawvere introduced cohesive toposes (and synthetic differential geometry [MoR91]) as a foundation for continuum physics.1 I found that combining this with ...
... and algebra, but what is less known is that to him all these developments were motivated as part of a mathematical foundation of physics. Indeed Lawvere introduced cohesive toposes (and synthetic differential geometry [MoR91]) as a foundation for continuum physics.1 I found that combining this with ...
Waveguides, Resonant Cavities, Optical Fibers and
... potentials. The basis of this analogy is the fact that both wave equations for electromagnetic monoenergetic waves (i.e. with well-defined frequency), obtained directly from the Maxwell equations, and the time-independent Schrodinger equation are Helmholtz equations; when specific restrictions - like ...
... potentials. The basis of this analogy is the fact that both wave equations for electromagnetic monoenergetic waves (i.e. with well-defined frequency), obtained directly from the Maxwell equations, and the time-independent Schrodinger equation are Helmholtz equations; when specific restrictions - like ...
A Landau-Ginzburg model, flat coordinates and a mirror theorem for
... In order to get a quantum differential system, we are still looking for a ∇-flat bilinear form S (the metric). We first define flat bases with respect to the flat residual connection 5: indeed, the bilinear we are looking for should be constant in such bases, and therefore easier to describe. It tur ...
... In order to get a quantum differential system, we are still looking for a ∇-flat bilinear form S (the metric). We first define flat bases with respect to the flat residual connection 5: indeed, the bilinear we are looking for should be constant in such bases, and therefore easier to describe. It tur ...
Chapter 10.
... quantum computers exploit the phenomena of superposition and entanglement which are fundamental issues in quantum mechanics [Nielsen00]. Thus quantum computers have additional features than their counterpart classical computers lack. Hence quantum computer are more powerful than the classical comput ...
... quantum computers exploit the phenomena of superposition and entanglement which are fundamental issues in quantum mechanics [Nielsen00]. Thus quantum computers have additional features than their counterpart classical computers lack. Hence quantum computer are more powerful than the classical comput ...