Recent content by soarce

It might be difficult to work with position representation, i.e. to calculate the integral over the continuous variable ##y##. I did similar calculations long time ago and we used Fock representation in order to obtain quasi-distribution functions (including Wigner function). First we derived...

I am not sure that the state \rho_{34} you wrote is obtained by passing a vacuum squeezed state through a beam spliter. If you start with a two-mode (##a## and ##b##) vacuum state, apply the squeezing operator on mode ##a## and then send the two modes through a beam spliter should look like...

It is not written in English and is rather old (printed in 1994), nevertheless is based on Lamport's book. If you want I can translate the table of content. Then you can refer to Lamport and selectively read chapters and sections.

As first approach try to use Matlab ode45 function to integrate ODE and see what happens. If you already have implemented a numerical method for solving ODE try to use it on known results to check that you code has no error.

Look at the producer webpage. If it is a smart oscilloscope it must have a proper shutdown internal procedure already implemented. The power on-off button is a switch or a push button?

Indeed, for finite body one has to include boundary conditions, e.g. no heat flow through the boundary or constant temperature at the boundary.

LaTeX is not restricted only to writing mathematical formulas, it includes a lot more: page layout, bibligraphy, cover design, reference management. It is a complete typesetting system which allows you to write large and complex documents. I started learning LaTeX using a thin book of less than...

One can not observe (i.e. detect or measure in some way) a virtual particle. Rigorously speaking, as the virtual particles don't need to obey all the physical laws of real particles, we can say that they may have arbitrarily large speeds. I am not sure whether one can speak of virtual particle...

In your case ##x=t##, ##f(x)=cos(x)##, ##g(x)=2\pi f x## and ##f(g(x))=(f\circ g)(x)=cos(2\pi f x)##.

##V(t^\prime,t)## is similar to Brownian motion for ##t<t^\prime##?

This is the derivation differentiation chain rule: \frac{df(g(x))}{dx}=\frac{df}{dg}\cdot\frac{dg}{dx} Edited by mentor...

Linearized equations are "reliable" when the equations are linearly stable, i.e. the time dependent solution of the linearized system do not diverge from the nonlinear solution. The linearized solution won't capture all features of the nonlinear solution but at least it gives you a rough idea...

Depends on the magnitude of the nonlinear term, if it is only a small adjustments of the linear solution then one may start examining first the linearized system. There are several methods to numerically solve coupled nonlinear differential equations (relaxation methods, shooting method, fixed...

Solitons? What is the physical origin of the two diferential equations? E.g. Two coupled waves, media properties and wave propagation.

Assuming that there is no error in your implementation you can perform a quick check: double the number of sample points simultaneously in x and y and see how the eigenvalues are shifting. As the energy is increasing the values should display a larger shift, in this way you can determine which...