Commun. Math. Phys. 227, 605 (2002).
... representation has topological implications which will be considered elsewhere. ...
... representation has topological implications which will be considered elsewhere. ...
The notion of four-momentum in TGD
... elementary particle spectrum can be understood if Super Virasoro algebra has five tensor factors. Can one decide the fate of the two approaches to EP using this number as an input? 1. For the coset option the situation is unclear. Even the definition of coset representation is problematic. If Super ...
... elementary particle spectrum can be understood if Super Virasoro algebra has five tensor factors. Can one decide the fate of the two approaches to EP using this number as an input? 1. For the coset option the situation is unclear. Even the definition of coset representation is problematic. If Super ...
A tutorial on Quantum Cohomology
... The topology of orbifolds is similar to that of manifolds. In particular one can develop Poincare duality theory and intersection theory in Xk,d using the fundamental cycle of the orbifold which is defined at least over Q. For general X the moduli spaces can have singularities and components of diff ...
... The topology of orbifolds is similar to that of manifolds. In particular one can develop Poincare duality theory and intersection theory in Xk,d using the fundamental cycle of the orbifold which is defined at least over Q. For general X the moduli spaces can have singularities and components of diff ...
Quantum Chaos
... What are the appropriate quantum observables to detect the regular or chaotic classical behaviour of the system? More precisely, how does the regular or chaotic classical behaviour translate in the energy levels and eigenstates of the (bound) system? For an open system, in the decay rates, in the ...
... What are the appropriate quantum observables to detect the regular or chaotic classical behaviour of the system? More precisely, how does the regular or chaotic classical behaviour translate in the energy levels and eigenstates of the (bound) system? For an open system, in the decay rates, in the ...
MATTERS OF GRAVITY *******Anniversary Edition******* Contents
... engineering that has made this possible is a real tour de force, with gains (and signs!) of feedback switching as the interferometer progresses through a series of states approaching the full Power-Recycled Fabry-Perot Michelson configuration. A few years ago we didn’t know how to do this, but now i ...
... engineering that has made this possible is a real tour de force, with gains (and signs!) of feedback switching as the interferometer progresses through a series of states approaching the full Power-Recycled Fabry-Perot Michelson configuration. A few years ago we didn’t know how to do this, but now i ...
Document
... in a Hilbert space can always be written as a pure state in a higher dimension Hilbert space Such that e.g., for the mixed state ...
... in a Hilbert space can always be written as a pure state in a higher dimension Hilbert space Such that e.g., for the mixed state ...
Can Bohmian mechanics be made relativistic?
... configuration space of the N particles. (For particles with spin, one need only consider Ψt as instead being the appropriate N-particle spinor, obeying instead of equation (1.1) the appropriate wave equation, and then interpret the numerator and denominator of the right-hand side of equation (1.2) a ...
... configuration space of the N particles. (For particles with spin, one need only consider Ψt as instead being the appropriate N-particle spinor, obeying instead of equation (1.1) the appropriate wave equation, and then interpret the numerator and denominator of the right-hand side of equation (1.2) a ...
Quantum computing and mathematical research
... How to control the (initial) quantum states? How to create the appropriate environment for the quantum mechanical system to evolve without observing? How to “fight” decoherence (the interaction of the system and the external environment)? How to use the phenomena of superposition and entanglement ef ...
... How to control the (initial) quantum states? How to create the appropriate environment for the quantum mechanical system to evolve without observing? How to “fight” decoherence (the interaction of the system and the external environment)? How to use the phenomena of superposition and entanglement ef ...
Quantum analogue computing
... break factoring. While the scaling favours quantum, the crossover point is high. The picture is rather more promising for using a quantum computer to simulate a quantum system, Feynman’s original inspiration for quantum computation. For example, a system consisting of N 2-state quantum particles has ...
... break factoring. While the scaling favours quantum, the crossover point is high. The picture is rather more promising for using a quantum computer to simulate a quantum system, Feynman’s original inspiration for quantum computation. For example, a system consisting of N 2-state quantum particles has ...
What Every Physicist Should Know About String Theory
... We have arrived at one of nature’s rhymes: if we imitate in one dimension what we would expect to do in D = 4 dimensions to describe quantum gravity, we arrive at something that is certainly important in physics, namely ordinary quantum field theory in a possibly curved spacetime. In the example th ...
... We have arrived at one of nature’s rhymes: if we imitate in one dimension what we would expect to do in D = 4 dimensions to describe quantum gravity, we arrive at something that is certainly important in physics, namely ordinary quantum field theory in a possibly curved spacetime. In the example th ...
Quantum Clustering Algorithms - The International Machine
... Quantum information processing draws its uncanny power from three quantum resources that have no classical counterpart. Quantum parallelism harnesses the superposition principle and the linearity of quantum mechanics in order to compute a function simultaneously on arbitrarily many inputs. Quantum i ...
... Quantum information processing draws its uncanny power from three quantum resources that have no classical counterpart. Quantum parallelism harnesses the superposition principle and the linearity of quantum mechanics in order to compute a function simultaneously on arbitrarily many inputs. Quantum i ...