In this paper, we explore certain Hermitian Hamiltonians build in terms of non-Hermitian position and momentum operators obeying definite 畏 ( N )-pseudo-hermiticity properties. A generalized nonlinear (with the coefficients depending on the particle number operator N ) one-mode Bogoliubov ...
(H_\\hbar ),e^{i\\langle t, xangle }]\\) , where \\(H_\\hbar \\) is a Schrdinger operator with a semiclassical parameter \\(\\hbar \\) , x is the position operator, \\(-\\,i\\hbar abla \\) is the momentum operator, and t in \\({\\mathbb {R}}^d\\) is a ...
Self-adjointness is shown of the momentum operator , with domain when 1$"> or <IMG WIDTH="67" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="http://www.ams.org/journals/proc/1989-107-04/S0002-9939-1989-0984821-8/images/img4.gif" ALT="$ c . This operator appears in a harmonic ...
The condition under which a measured quantum mechanical system is determined by distributions of observables are considered. Two given inequivalent states of the hamiltonian H = p 2 2m + V(q), which have the same position and momentum distribution, serve as a basis for the argumentation.关键...
particles.position(i, ipart) += dt*particles.momentum(i, ipart)/(*gf)[ipart]; } } 开发者ID:auterpe,项目名称:Smilei,代码行数:52,代码来源:PusherBoris.cpp 示例2: operator ▲点赞 5▼ voidPusherPonderomotivePositionBorisV::operator()( Particles &particles, SmileiMPI *smpi,intistart,intiend...
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geometric arguments: the interference terms include a factor \({T}_{j{j}^{{\prime} }}({\bf{k}})\propto\operatorname{e}^{-\mathrm{i}{\bf{k}}\cdot ({{\bf{r}}}_{j}-{{\bf{r}}}_{{j}^{{\prime} }})}\) with rj denoting the position of the Pd atoms in the unit ...
1.The vector product of the position vector (from a reference point) and the linear momentum of a particle. 2.The vector sum of the angular momentums of each infinitesimal component particle of an extended body. American Heritage® Dictionary of the English Language, Fifth Edition. Copyright ...
We quantify the entanglement for a range of targets and field parameters to find the most entangled photoelectron pairs. This methodology provides a general way to use OAM to quantify and measure entanglement, well-suited to attosecond processes, and can be exploited to enhance imaging capabilities ...
The angular momentum vector operator can be written as (A.11)L→ˆ=r→×p→ˆ=−iℏr→×∇=−iℏr2hχ2χˆ2∂∂χ1−χˆ1∂∂χ2 by using Eq. (A.7) for the gradient, and the properties of the unit vectors. Obviously, there is no radial part, and the...