8.07 Class Notes Fall 2010
... 15.3 The invariant length of a four vector, and the four "dot product" .................. 105 15.4 Second rank four tensors ................................................................................. 106 15.5 The field tensor F λσ and the transformation of E and B.............................. ...
... 15.3 The invariant length of a four vector, and the four "dot product" .................. 105 15.4 Second rank four tensors ................................................................................. 106 15.5 The field tensor F λσ and the transformation of E and B.............................. ...
Magnetic excitations of stripes and checkerboards in the cuprates
... where kin denotes the wave vector of the inner branch of the spin-wave cone on the !! , !" side, and kout denotes the wave vector of the outer branch away from !! , !" at a particular energy Eo. For VS4 !site-centered stripes" at Eo = 0.4JaS we find that a = 0.85, b = 0.076, c = 0, and $ = 0.89. For ...
... where kin denotes the wave vector of the inner branch of the spin-wave cone on the !! , !" side, and kout denotes the wave vector of the outer branch away from !! , !" at a particular energy Eo. For VS4 !site-centered stripes" at Eo = 0.4JaS we find that a = 0.85, b = 0.076, c = 0, and $ = 0.89. For ...
Quantum noise properties of multiphoton transitions in driven nonlinear resonators
... strongly different from the Boltzmann-type [1, 2, 29]. Peaks or dips in the nonlinear response are a direct consequence of the nonequilibrium distribution over states with different oscillation amplitudes and phases [1, 2, 29]. The signatures of such a characteristic non-Lorentzian line shape of the ...
... strongly different from the Boltzmann-type [1, 2, 29]. Peaks or dips in the nonlinear response are a direct consequence of the nonequilibrium distribution over states with different oscillation amplitudes and phases [1, 2, 29]. The signatures of such a characteristic non-Lorentzian line shape of the ...
Decoherence and the Classical Limit of Quantum
... mechanics and classical mechanics are theories about the motion of particles. Without that, to answer the question of how the classical world can be part of the quantum world becomes a rather formidable task. Remember, in fact, that in quantum mechanics only the wave function exists: particles and t ...
... mechanics and classical mechanics are theories about the motion of particles. Without that, to answer the question of how the classical world can be part of the quantum world becomes a rather formidable task. Remember, in fact, that in quantum mechanics only the wave function exists: particles and t ...
From Ultracold Atoms to Condensed Matter Physics
... magnetic, laser and evaporative cooling. The atoms are kept in place thanks to a harmonic confinement. On top of this harmonic trap, in analogy to the periodic potential felt by electrons in a solid, one can introduce a periodic potential using a combination of lasers. The lasers that create the la ...
... magnetic, laser and evaporative cooling. The atoms are kept in place thanks to a harmonic confinement. On top of this harmonic trap, in analogy to the periodic potential felt by electrons in a solid, one can introduce a periodic potential using a combination of lasers. The lasers that create the la ...
Molecules, Moles and Chemical Equations File
... Step 2: Balancing an equation like this is aided by making some observations. In this case, both carbon and hydrogen appear in only one place on each side of the equation. Our first steps will be to balance these two elements, because there will be no other way to adjust them. Let’s begin with carbo ...
... Step 2: Balancing an equation like this is aided by making some observations. In this case, both carbon and hydrogen appear in only one place on each side of the equation. Our first steps will be to balance these two elements, because there will be no other way to adjust them. Let’s begin with carbo ...
4, 2710 (2013)
... concept for understanding exotic phenomena in many different systems18–23. A natural question to ask is whether MFs can also exist in an FF or LO superconductor or superfluid? In this article, we propose that FF superconductors/superfluids may support MFs if they possess two crucial elements: gapped b ...
... concept for understanding exotic phenomena in many different systems18–23. A natural question to ask is whether MFs can also exist in an FF or LO superconductor or superfluid? In this article, we propose that FF superconductors/superfluids may support MFs if they possess two crucial elements: gapped b ...
The Lagrangian Method
... It just stood there and did nothing, of course, A harmless and still wooden horse. But the minimal action Was just a distraction; The plan involved no use of force. Let’s now return to the example of a ball dropped from rest, mentioned above. The Lagrangian is L = T −V = mẏ 2 /2−mgy, so eq. (6.22) ...
... It just stood there and did nothing, of course, A harmless and still wooden horse. But the minimal action Was just a distraction; The plan involved no use of force. Let’s now return to the example of a ball dropped from rest, mentioned above. The Lagrangian is L = T −V = mẏ 2 /2−mgy, so eq. (6.22) ...