Lecture XV
... The wave function must be square-integrable. In other words, the integral of |Ψ|2 over all space must be finite. This is another way of saying that it must be possible to use |Ψ|2 as a probability density, since any probability density must integrate over all space to give a value of 1, which is cle ...
... The wave function must be square-integrable. In other words, the integral of |Ψ|2 over all space must be finite. This is another way of saying that it must be possible to use |Ψ|2 as a probability density, since any probability density must integrate over all space to give a value of 1, which is cle ...
SU(3) Multiplets & Gauge Invariance
... the energy of em-fields is expressed in terms of E2, B2 • Fm = mA-Am transforms as a Lorentz tensor! ...
... the energy of em-fields is expressed in terms of E2, B2 • Fm = mA-Am transforms as a Lorentz tensor! ...
Linear-Response Theory, Kubo Formula, Kramers
... (Actually, because of causality, the upper integration limit, ∞, can be replaced by t, and the lower one, t0 , by −∞, if the perturbation is switched on adiabatically.) The function XÂ,B̂ (t − t′ ) is (apart from a minus sign) identical with the retarded Green’s function GÂ,B̂ (t − t′ ), and, whic ...
... (Actually, because of causality, the upper integration limit, ∞, can be replaced by t, and the lower one, t0 , by −∞, if the perturbation is switched on adiabatically.) The function XÂ,B̂ (t − t′ ) is (apart from a minus sign) identical with the retarded Green’s function GÂ,B̂ (t − t′ ), and, whic ...
Mott insulators, Noise correlations and Coherent Spin Dynamics in Optical Lattices
... quantum phases of strongly correlated systems have been proposed for ultracold gases in optical lattices, however it has been unclear how a large variety of such states could be efficiently detected. We show that Hanbury Brown-Twiss noise correlation measurements of ultracold quantum gases allow a d ...
... quantum phases of strongly correlated systems have been proposed for ultracold gases in optical lattices, however it has been unclear how a large variety of such states could be efficiently detected. We show that Hanbury Brown-Twiss noise correlation measurements of ultracold quantum gases allow a d ...
Wave Chaos in Electromagnetism and Quantum Mechanics
... What are the unique properties of wave chaotic systems? It has been hypothesized that they have many “universal” properties that are amazingly insensitive to details such as whether one is talking about an acoustic wave in air or a quantum mechanical wave in a nucleus! This means that simple physica ...
... What are the unique properties of wave chaotic systems? It has been hypothesized that they have many “universal” properties that are amazingly insensitive to details such as whether one is talking about an acoustic wave in air or a quantum mechanical wave in a nucleus! This means that simple physica ...
No Slide Title
... wavefunction. It contains all the information that can be determined about the system. Furthermore , we require that (x, y, z, t) be single valued, continuous, differentiable to all orders, and quadratically integrable ...
... wavefunction. It contains all the information that can be determined about the system. Furthermore , we require that (x, y, z, t) be single valued, continuous, differentiable to all orders, and quadratically integrable ...
Exercise 6
... + corresponding to parahelium (symmetric spatial wave function) and − corresponding to orthohelium (anti-symmetric spatial wave function). The exchange energy Anl , although of purely quantum mechanical nature, can be better understood by evaluating the mean distance square. Assume two particles in ...
... + corresponding to parahelium (symmetric spatial wave function) and − corresponding to orthohelium (anti-symmetric spatial wave function). The exchange energy Anl , although of purely quantum mechanical nature, can be better understood by evaluating the mean distance square. Assume two particles in ...
Coherent State Path Integrals
... is allowed to introduce a chemical potential, i.e. to use the Grand Canonical Ensemble in the first place. This formulation is useful to study superfluid Helium and similar problems. Suppose for instance that we want to compute the partition function Z for this system of bosons at finite temperature ...
... is allowed to introduce a chemical potential, i.e. to use the Grand Canonical Ensemble in the first place. This formulation is useful to study superfluid Helium and similar problems. Suppose for instance that we want to compute the partition function Z for this system of bosons at finite temperature ...
Simple Harmonic Oscillator
... In principle qubit-based computers allow massively parallel calculations (each element of superposition acts as a separate process). Current state-of-the-art: 4-qubit superconducting chip from University of California, Santa Barbara (UCSB) Problem is “decoherence”, i.e. effective “measurement” of qu ...
... In principle qubit-based computers allow massively parallel calculations (each element of superposition acts as a separate process). Current state-of-the-art: 4-qubit superconducting chip from University of California, Santa Barbara (UCSB) Problem is “decoherence”, i.e. effective “measurement” of qu ...
here - Dalibor Hrg
... Discrete values of energy and momentum. State represent object (electron’s spin, foton’s polarization, electron’s path,…) and its square amplitude is probability for outcome when measured. Superposition of states, nothing similar in our life. Interference of states. ...
... Discrete values of energy and momentum. State represent object (electron’s spin, foton’s polarization, electron’s path,…) and its square amplitude is probability for outcome when measured. Superposition of states, nothing similar in our life. Interference of states. ...
