views of dark energy
... is really a needle in a haystack, it is hard to see how we are supposed to be able to understand it. ...
... is really a needle in a haystack, it is hard to see how we are supposed to be able to understand it. ...
Lecture 4, Conservation Laws
... Evidence for conservation of electric charge: Consider reaction e-ve which violates charge conservation but not lepton number or any other quantum number. If the above transition occurs in nature then we should see x-rays from atomic transitions. The absence of such x-rays leads to the limit: te > ...
... Evidence for conservation of electric charge: Consider reaction e-ve which violates charge conservation but not lepton number or any other quantum number. If the above transition occurs in nature then we should see x-rays from atomic transitions. The absence of such x-rays leads to the limit: te > ...
Chapter 41. One-Dimensional Quantum Mechanics
... 1. ψ(x) and ψ’(x) are continuous functions. 2. ψ(x) = 0 if x is in a region where it is physically impossible for the particle to be. 3 ψ(x) → 0 as x → +∞ and x → −∞. ...
... 1. ψ(x) and ψ’(x) are continuous functions. 2. ψ(x) = 0 if x is in a region where it is physically impossible for the particle to be. 3 ψ(x) → 0 as x → +∞ and x → −∞. ...
Lecture 9: Macroscopic Quantum Model
... Schrödinger's Equation (with forces) We present a plausibility argument, not a derivation, relating the classical formulation to the quantum formulation. The energy for a particle in a force is, classically, ...
... Schrödinger's Equation (with forces) We present a plausibility argument, not a derivation, relating the classical formulation to the quantum formulation. The energy for a particle in a force is, classically, ...
The integer quantum Hall effect II
... In the last lecture we have seen that for spinless fermions and for a time-reversal invariant system all states are localized in two spatial dimensions. How can we reconcile this with the above argument for the quantization of xy . The answer is, that for the case of a magnetic field, where time rev ...
... In the last lecture we have seen that for spinless fermions and for a time-reversal invariant system all states are localized in two spatial dimensions. How can we reconcile this with the above argument for the quantization of xy . The answer is, that for the case of a magnetic field, where time rev ...
Greco1 - INFN - Torino Personal pages
... the underlying hypothesis of Hydro is that the mean free path is so small that the f(x,p)is always at equilibrium during the evolution. Similarly ∂T , for f≠feq and one can do the expansion in terms of transport coefficients: shear and bulk viscosity , heat conductivity [P. Romatschke] ...
... the underlying hypothesis of Hydro is that the mean free path is so small that the f(x,p)is always at equilibrium during the evolution. Similarly ∂T , for f≠feq and one can do the expansion in terms of transport coefficients: shear and bulk viscosity , heat conductivity [P. Romatschke] ...
Homework 2
... spaced eigenvalues that look like (n+1/2) ħ where is the angular frequency of the oscillator. Consider now the half-oscillator shown below, whose potential equals a regular oscillator for x > 0 and equals infinity (hard wall) for x < 0. The hard wall imposes additional boundary conditions on the ...
... spaced eigenvalues that look like (n+1/2) ħ where is the angular frequency of the oscillator. Consider now the half-oscillator shown below, whose potential equals a regular oscillator for x > 0 and equals infinity (hard wall) for x < 0. The hard wall imposes additional boundary conditions on the ...
The Dirac equation. A historical description.
... The Klein-Gordon describe a spinless particle (s = 0). But because ρKG might be negative it cannot be intepreted as a probabillity density such as in non-relativistic quantum mechanics with probabillity density ρS = ψS† ψS . The Klein-Gordon equation was therefore rejected as basis for a (possible ) ...
... The Klein-Gordon describe a spinless particle (s = 0). But because ρKG might be negative it cannot be intepreted as a probabillity density such as in non-relativistic quantum mechanics with probabillity density ρS = ψS† ψS . The Klein-Gordon equation was therefore rejected as basis for a (possible ) ...
Correlation Functions and Diagrams
... We see that J plays the same role as an electromagnetic current in Maxwell’s equations, which is why we call it a source. Consider a source field that turns on briefly at some initial time, and is cleverly chosen so that it creates two particles with close to unit probability. This part of the field ...
... We see that J plays the same role as an electromagnetic current in Maxwell’s equations, which is why we call it a source. Consider a source field that turns on briefly at some initial time, and is cleverly chosen so that it creates two particles with close to unit probability. This part of the field ...
PX408: Relativistic Quantum Mechanics
... Q15 At what energies/lengths are the following relativistic: (i) photons; (ii) electrons; (iii) protons? Q16 If light can be treated as particles, why don’t these particles collide when two beams of light are shone at each other? Q17 Using a non-relativistic approximation, estimate the threshold Z f ...
... Q15 At what energies/lengths are the following relativistic: (i) photons; (ii) electrons; (iii) protons? Q16 If light can be treated as particles, why don’t these particles collide when two beams of light are shone at each other? Q17 Using a non-relativistic approximation, estimate the threshold Z f ...
Presentation #3
... where Ĥ is the hamiltonian (total energy ) operator". This is the time-dependent equation that Schrödinger introduced in 1926. Here we are postulating it. ...
... where Ĥ is the hamiltonian (total energy ) operator". This is the time-dependent equation that Schrödinger introduced in 1926. Here we are postulating it. ...
vander waals forces in an inhomogeneous dielectric
... are significant (for example, of the order of the film thickness or of the distance between the attracting solids). This makes possible a macroscopic analysis for macroscopic bodies and to express the results in terms of E, the dielectric constant of the body. Of course, the corrections to the free ...
... are significant (for example, of the order of the film thickness or of the distance between the attracting solids). This makes possible a macroscopic analysis for macroscopic bodies and to express the results in terms of E, the dielectric constant of the body. Of course, the corrections to the free ...
Supplementary material
... In the steady state, electron or hole concentration (n(x, j); p(x, j)) is a function of space variable and current density. Because there exists the electric field, we have ...
... In the steady state, electron or hole concentration (n(x, j); p(x, j)) is a function of space variable and current density. Because there exists the electric field, we have ...
Eight-Dimensional Quantum Hall Effect and ‘‘Octonions’’ Bogdan A. Bernevig, Jiangping Hu, Nicolaos Toumbas,
... in the lll is then simply VXa and the commutation relation is ...
... in the lll is then simply VXa and the commutation relation is ...
Waves and the Schroedinger Equation
... written a representation of a wave-particle entity as a sinusoidal function. This is our attempt to describe the spatial and time dependence of an entity. However, this is one particular solution to the more general representation of the represenation of a state of an entitity (particle, wave, etc). ...
... written a representation of a wave-particle entity as a sinusoidal function. This is our attempt to describe the spatial and time dependence of an entity. However, this is one particular solution to the more general representation of the represenation of a state of an entitity (particle, wave, etc). ...