Phys. Rev. Lett. 115, 155302
... for ultracold gases and can have interesting implications. In particular, we predict that the droplet can have a peculiar excitation spectrum containing only a continuum part and very few or no discrete modes (usually associated with collective excitations: surface waves, breathing mode, etc.) This ...
... for ultracold gases and can have interesting implications. In particular, we predict that the droplet can have a peculiar excitation spectrum containing only a continuum part and very few or no discrete modes (usually associated with collective excitations: surface waves, breathing mode, etc.) This ...
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Part II Applications of Quantum Mechanics Lent 2012
... The momentum operator is p = −i~d/dx and so the momenta for e±ikx are ±~k. Really, the particles are to be thought of as wave packets which are made of a superposition of waves with wave vectors taking values in (k − ∆k, k + ∆k); the particles are then localized. This does not materially affect the ...
... The momentum operator is p = −i~d/dx and so the momenta for e±ikx are ±~k. Really, the particles are to be thought of as wave packets which are made of a superposition of waves with wave vectors taking values in (k − ∆k, k + ∆k); the particles are then localized. This does not materially affect the ...
Particle Physics
... Historically, it was thought that there were two main problems with the Klein-Gordon equation: Negative energy solutions The negative particle densities associated with these solutions We now know that in Quantum Field Theory these problems are overcome and the KG equation is used to describe ...
... Historically, it was thought that there were two main problems with the Klein-Gordon equation: Negative energy solutions The negative particle densities associated with these solutions We now know that in Quantum Field Theory these problems are overcome and the KG equation is used to describe ...
Part III Particle Physics 2008 : The Dirac Equation
... Historically, it was thought that there were two main problems with the Klein-Gordon equation: Negative energy solutions The negative particle densities associated with these solutions We now know that in Quantum Field Theory these problems are overcome and the KG equation is used to describe ...
... Historically, it was thought that there were two main problems with the Klein-Gordon equation: Negative energy solutions The negative particle densities associated with these solutions We now know that in Quantum Field Theory these problems are overcome and the KG equation is used to describe ...
ent 257/4 fluid mechanics
... space coordinates, the flow is said to be two dimensional. The flow does not vary along the third coordinate direction Example: The flow around a circular cylinder of infinite length (as shown in Fig. 2c) is two dimensional in the x-y plane. Axisymmetric Flow: A flow is said to be axisymmetric if th ...
... space coordinates, the flow is said to be two dimensional. The flow does not vary along the third coordinate direction Example: The flow around a circular cylinder of infinite length (as shown in Fig. 2c) is two dimensional in the x-y plane. Axisymmetric Flow: A flow is said to be axisymmetric if th ...
Phys. Rev. Lett. 104, 255303
... k ¼ 0, with phonon velocity independent of the direction of k, while the remaining q2 1 modes have a nonzero gap and quadratic dispersion. Figure 1 shows the dispersions k for ¼ 13 , found by minimizing h0 and diagonalizing MðkÞ numerically. For all , there are q2 modes, including one Goldsto ...
... k ¼ 0, with phonon velocity independent of the direction of k, while the remaining q2 1 modes have a nonzero gap and quadratic dispersion. Figure 1 shows the dispersions k for ¼ 13 , found by minimizing h0 and diagonalizing MðkÞ numerically. For all , there are q2 modes, including one Goldsto ...