Questions tagged [phase-space]

A notional even-dimensional space representing all relevant states of a dynamical system; it normally consists of all components of position and momentum/velocity involved in that unique specification. Use for both classical and quantum physics.

445 questions
Filter by
Sorted by
Tagged with
22 views

84 views

80 views

Prove that a transformation is canonical by using $\mathbb{M}^T\cdot \mathbb{J}\cdot \mathbb{M}$ [closed]

So, I was given the following problem to solve: A system with two degrees of freedom is described by the following hamiltonian \begin{equation} H=p_1^2+p_2^2+\frac{1}{2}(q_1-q_2)^2+\frac{1}{8}(...
121 views

259 views

The phase space trajectory of a single particle falling freely from height is? [closed]

The phase space trajectory of a single particle falling freely from height is? Phase space is a plot between momentum and position, and since kinetic energy increases the momentum must increase with ...
79 views

Volume of state in phase space free particle

I have to how a quantum state of a free particle between 0 and a occupies an area of $h$ in the phase space. What I did was to calculate $\Delta x \Delta p$ and show that it was of order $h$, but I ...
51 views

41 views

67 views

103 views

Fourier transform of cross-spectral density space matrix elements

In order to derive phase space like equation of motion (e.g. the equation of motion for the Wigner function of a single particle in one-dimension), it is an advantage to work with the Fourier ...
80 views

Intuition between this construction of the sympletic form for classical fields

In this paper, Wald presents a quite general construction of a sympletic form for classical fields. If I understood (which I might have not, and in that case corrections are highly appreciated), the ...
134 views

Integration of Poisson brackets by integration by parts [closed]

In the context of Statistical Mechanics I have to show that the following integral is zero: \int \sum_{i=1}^{3N}(\frac{\partial O}{\partial q_i}\frac{\partial H}{\partial p_i}-\frac{\partial O}{\...