Vacuum Energy and Effective Potentials
									
... For large L, the momenta p have a uniform density (L/2π)3 in the momentum space, thus ...
                        	... For large L, the momenta p have a uniform density (L/2π)3 in the momentum space, thus ...
									Irreversibility and Quantum Mechanics?
									
... which is not accounted by Schrödinger’s equation. The hypothesis I started from was that the transition takes much longer time than the period of the light quanta and the Fourier coefficients of the expansion of the wave function by the eigenfunctions of the Hamilton operator change slowly, moreove ...
                        	... which is not accounted by Schrödinger’s equation. The hypothesis I started from was that the transition takes much longer time than the period of the light quanta and the Fourier coefficients of the expansion of the wave function by the eigenfunctions of the Hamilton operator change slowly, moreove ...
									Chapter 7 -- Radiative Corrections: some formal developments Chapter 7:
									
... interacting theory. For this reason I don’t like the term “photon self-energy”. (The photon mass is 0 in all orders of perturbation theory because of gauge invariance. That is a fundamental ...
                        	... interacting theory. For this reason I don’t like the term “photon self-energy”. (The photon mass is 0 in all orders of perturbation theory because of gauge invariance. That is a fundamental ...
									Emergent spacetime - School of Natural Sciences
									
... • Should we expect locality in the space, or in its dual space, or in both, or in neither? • We would like to have causality (or maybe not?). • Locality leads to causality. • Analyticity of the S-matrix is consistent with locality/causality, but is this the only way to guarantee it? • There are no o ...
                        	... • Should we expect locality in the space, or in its dual space, or in both, or in neither? • We would like to have causality (or maybe not?). • Locality leads to causality. • Analyticity of the S-matrix is consistent with locality/causality, but is this the only way to guarantee it? • There are no o ...
									1 What Is the Measurement Problem Anyway?
									
... Continuity. Scientific revolutions, unlike all too many political revolutions, do not destroy the fruits of earlier theories but rather incorporate them within a new context. This is true not only for the empirical data which the earlier theories revealed, but also for many of their insights and prin ...
                        	... Continuity. Scientific revolutions, unlike all too many political revolutions, do not destroy the fruits of earlier theories but rather incorporate them within a new context. This is true not only for the empirical data which the earlier theories revealed, but also for many of their insights and prin ...
									1 Classical Mechanics
									
... atomic spectral lines, the spectral distribution of black body radiation, chemical reactions, etc. Nevertheless, classical and quantum mechanics are closely connected. Just as geometrical optics can be regarded as the short wavelength limit of wave optics, so classical mechanics can be regarded as t ...
                        	... atomic spectral lines, the spectral distribution of black body radiation, chemical reactions, etc. Nevertheless, classical and quantum mechanics are closely connected. Just as geometrical optics can be regarded as the short wavelength limit of wave optics, so classical mechanics can be regarded as t ...
									History of Particle Physics (lecture notes)
									
... Particle physics in a recognizably modern sense begins with the discovery of the electron, by J. J. Thompson in 1897. What he discovered, more precisely, is that one component of gaseous discharges ...
                        	... Particle physics in a recognizably modern sense begins with the discovery of the electron, by J. J. Thompson in 1897. What he discovered, more precisely, is that one component of gaseous discharges ...
									α | Q | β 〉= Q (t) . 〈 Review
									
... where H0 is solvable and H1 is a set of interactions, possibly having small effects. {Usually H0 is a single particle operator; and H1 is a two-particle operator describing the interactions between particles.} ...
                        	... where H0 is solvable and H1 is a set of interactions, possibly having small effects. {Usually H0 is a single particle operator; and H1 is a two-particle operator describing the interactions between particles.} ...
									Hogan: An Alternative Version of Quantum Mechanics
									
... Interpretation: representation of physical reality that accompanies formalism. More than one interpretation of a physical reality may be possible given a set of equations which describe that reality. ...
                        	... Interpretation: representation of physical reality that accompanies formalism. More than one interpretation of a physical reality may be possible given a set of equations which describe that reality. ...
									Notes on - Paradigm Shift Now
									
... fuzzy spacetime and noncommutative geometry. We argue that it is now possible to explain the earlier shortcomings. At the same time we get an insight into the geometric origin of the deBroglie wavelength itself as also the Wilson-Sommerfeld Quantization rule. ...
                        	... fuzzy spacetime and noncommutative geometry. We argue that it is now possible to explain the earlier shortcomings. At the same time we get an insight into the geometric origin of the deBroglie wavelength itself as also the Wilson-Sommerfeld Quantization rule. ...
									Physics 610: Quantum Optics
									
... description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measurements, and physical states of the quantized radiation field, including ...
                        	... description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measurements, and physical states of the quantized radiation field, including ...
									Quantum Condensed Matter Field Theory
									
... path integral. Emphasis will be given to the connection of the path integral to classical Lagrangian mechanics through the semi-classical expansion, as well as the relation to the quantum and classical statistical partition function through the Euclidean time action. The example of a single well and ...
                        	... path integral. Emphasis will be given to the connection of the path integral to classical Lagrangian mechanics through the semi-classical expansion, as well as the relation to the quantum and classical statistical partition function through the Euclidean time action. The example of a single well and ...