Constructive Quantum Field Theory
... Dirac equation for hydrogen, agreement between calculation and experiment improved rapidly over time. The incorporation of special relativity and field theory into quantum theory extended the scope of perturbative calculations, and these were tested through precision measurements of spectra and magn ...
... Dirac equation for hydrogen, agreement between calculation and experiment improved rapidly over time. The incorporation of special relativity and field theory into quantum theory extended the scope of perturbative calculations, and these were tested through precision measurements of spectra and magn ...
Derivation of viscous correction terms for the isothermal quantum
... paper, we are interested in the next order approximation of the hydrodynamic limit. In the classical setting, it is well-known [1] that this leads to the viscous correction to the Euler equations, i.e. to the Navier-Stokes system. Here, we apply the same idea in the quantum setting in order to deriv ...
... paper, we are interested in the next order approximation of the hydrodynamic limit. In the classical setting, it is well-known [1] that this leads to the viscous correction to the Euler equations, i.e. to the Navier-Stokes system. Here, we apply the same idea in the quantum setting in order to deriv ...
How Theory Meets the World
... But physically, it is a rather wooly concept. It is not easy to identify precisely which physical processes are to be given the status of ‘observations’ and which are to be relegated to the limbo between one observation and another. So it could be hoped that some increase in precision might be possi ...
... But physically, it is a rather wooly concept. It is not easy to identify precisely which physical processes are to be given the status of ‘observations’ and which are to be relegated to the limbo between one observation and another. So it could be hoped that some increase in precision might be possi ...
A Brief Introduction to Relativistic Quantum Mechanics
... It is difficult to take the square root of −~2 c2 ∇2 + m2 c4 for a single wave function. One can take the inspiration from E&M: Maxwell’s equations are first-order but combining them gives the second order wave equations. Imagining that ψ consists of N components ψl , ...
... It is difficult to take the square root of −~2 c2 ∇2 + m2 c4 for a single wave function. One can take the inspiration from E&M: Maxwell’s equations are first-order but combining them gives the second order wave equations. Imagining that ψ consists of N components ψl , ...
Deviations from exponential law and Van Hove`s “2t” limit
... where is the coupling constant and t time. One then looks at the evolution of the quantum system as a function of the rescaled time t˜. There has recently been a renewed interest in the physical literature for this time-scale transformation and its subtle mathematical features: see [32,33]. The pu ...
... where is the coupling constant and t time. One then looks at the evolution of the quantum system as a function of the rescaled time t˜. There has recently been a renewed interest in the physical literature for this time-scale transformation and its subtle mathematical features: see [32,33]. The pu ...
1 The free boson on the sphere, normal ordering, and all that
... (Due: Tuesday, December 20, 2016) ...
... (Due: Tuesday, December 20, 2016) ...
Quantum Mechanics
... To explain observations: energy quantization Stability and atom size wave - particle duality ...
... To explain observations: energy quantization Stability and atom size wave - particle duality ...
Lecture 2
... – Proof: • centripetal force on electron with mass m and charge e, orbiting with velocity v at radius r is balanced by electrostatic attraction between electron and nucleus mv2/r = e2/(4pe0r2) v = sqrt(e2/(4pe0mr)) • Total energy at any radius, E = 0.5mv2 - e2/(4pe0r) = -e2/(8pe0r) • L = nħ mv ...
... – Proof: • centripetal force on electron with mass m and charge e, orbiting with velocity v at radius r is balanced by electrostatic attraction between electron and nucleus mv2/r = e2/(4pe0r2) v = sqrt(e2/(4pe0mr)) • Total energy at any radius, E = 0.5mv2 - e2/(4pe0r) = -e2/(8pe0r) • L = nħ mv ...
Introduction to the general boundary formulation of quantum theory
... Description of free theories in a bounded region of space. [RO] Description of a free Euclidean theory in a bounded region of spacetime [D. Colosi, RO] Description of new types of asymptotic amplitudes, generalizing the S-matrix framework. [D. Colosi, RO] Application of this to de Sitter space. [D. ...
... Description of free theories in a bounded region of space. [RO] Description of a free Euclidean theory in a bounded region of spacetime [D. Colosi, RO] Description of new types of asymptotic amplitudes, generalizing the S-matrix framework. [D. Colosi, RO] Application of this to de Sitter space. [D. ...