Steven Simon
... Dummy’s Guide To Topological Quantum Computing • Uses 2 Dimensional Systems which are realizations of TQFTs, i.e., have quasiparticles with NonAbelian Statistics. • Quantum Information is encoded in nonlocal topological degrees of freedom that do not couple to any local quantity. • States can be ma ...
... Dummy’s Guide To Topological Quantum Computing • Uses 2 Dimensional Systems which are realizations of TQFTs, i.e., have quasiparticles with NonAbelian Statistics. • Quantum Information is encoded in nonlocal topological degrees of freedom that do not couple to any local quantity. • States can be ma ...
Quantum Field Theory Frank Wilczek
... eld theory are twofold. First, that the basic dynamical degrees of freedom are operator functions of space and time { quantum elds, obeying appropriate commutation relations. Second, that the interactions of these elds are local. Thus the equations of motion and commutation relations governing th ...
... eld theory are twofold. First, that the basic dynamical degrees of freedom are operator functions of space and time { quantum elds, obeying appropriate commutation relations. Second, that the interactions of these elds are local. Thus the equations of motion and commutation relations governing th ...
Quantum Resistant Cryptography
... For special physical conditions you can deduct another form of the Schrödinger equation, the time-independent Schrödinger equation. If we want to solve this equation, in practice it is useful to assume the time and location can be separated in the wave function: ϕ(~r, t) = ϕ(~r)φ(t). In that case ...
... For special physical conditions you can deduct another form of the Schrödinger equation, the time-independent Schrödinger equation. If we want to solve this equation, in practice it is useful to assume the time and location can be separated in the wave function: ϕ(~r, t) = ϕ(~r)φ(t). In that case ...
RANDOM MATRIX THEORY IN PHYSICS
... been measured or calculated. All levels in the total spectrum having the same quantum numbers form one particular subspectrum. Its energy levels are at positions xn , n = 1, 2, . . . , N , say. We assume that N , the number of levels in this subspectrum, is large. With a proper smoothing procedure, ...
... been measured or calculated. All levels in the total spectrum having the same quantum numbers form one particular subspectrum. Its energy levels are at positions xn , n = 1, 2, . . . , N , say. We assume that N , the number of levels in this subspectrum, is large. With a proper smoothing procedure, ...
Path Integral studies of quantum systems at finite temperatures Sergei Dmitrievich Ivanov
... without computers. In particular, besides solving equations numerically, computers allow to model systems of interest directly, creating a bridge between the theory and experiment. For instance, consider a molecular system, modeled on a computer. Besides the averaged properties, that can be compared ...
... without computers. In particular, besides solving equations numerically, computers allow to model systems of interest directly, creating a bridge between the theory and experiment. For instance, consider a molecular system, modeled on a computer. Besides the averaged properties, that can be compared ...
Third Year Project Dr Lee Thompson Circular Motion of Particle
... determined. It will then be possible, by performing small step-wise increments with the equations of motion, to follow the particle as it travels around the ring. Starting off with the equations of motion in an ideal storage ring, these are simulated with a suitable computer program (written in C, C ...
... determined. It will then be possible, by performing small step-wise increments with the equations of motion, to follow the particle as it travels around the ring. Starting off with the equations of motion in an ideal storage ring, these are simulated with a suitable computer program (written in C, C ...
Non-relativistic quantum theory consistent with
... Let us analyze the following thought experiment. We assume that initially the particle does not move E = 0, p = 0 with respect to the coordinate system xm . So initially there is ν = 0, k = 0, Ψ(xm ) = 1, and DeBroglie’s wave does not exist. Then at some moment of time t0 = 0 the particle starts mov ...
... Let us analyze the following thought experiment. We assume that initially the particle does not move E = 0, p = 0 with respect to the coordinate system xm . So initially there is ν = 0, k = 0, Ψ(xm ) = 1, and DeBroglie’s wave does not exist. Then at some moment of time t0 = 0 the particle starts mov ...
Algebraic approach to interacting quantum systems
... [6]. It is well known that the XXZ model has an infinite number of symmetries which make it exactly solvable by the Bethe ansatz. Another example is provided by the family of spin Hamiltonians for which the ground state is a product of spin singlets. This family includes the Majumdar–Ghosh [9–11] mod ...
... [6]. It is well known that the XXZ model has an infinite number of symmetries which make it exactly solvable by the Bethe ansatz. Another example is provided by the family of spin Hamiltonians for which the ground state is a product of spin singlets. This family includes the Majumdar–Ghosh [9–11] mod ...
Variation of the Gravitational Constant and its Consequences
... In this opus, the classical radius is in fact being treated as a true kernel of the observable electron, and also it is to be regarded as a quantum black hole. As such, no scattering experiment can ever reveal it, simply because anything fired at a black hole never comes back! Furthermore, if the ba ...
... In this opus, the classical radius is in fact being treated as a true kernel of the observable electron, and also it is to be regarded as a quantum black hole. As such, no scattering experiment can ever reveal it, simply because anything fired at a black hole never comes back! Furthermore, if the ba ...
Quasiparticles in the Quantum Hall Effect Janik Kailasvuori Stockholm University
... original work in theoretical physics that I have done together with different collaborators. The thesis aims at introducing this work, putting it into a context, give some clarifications and also present some work in progress that has not been finalised in a paper yet. The content of this research i ...
... original work in theoretical physics that I have done together with different collaborators. The thesis aims at introducing this work, putting it into a context, give some clarifications and also present some work in progress that has not been finalised in a paper yet. The content of this research i ...