Quantile Motion and Tunneling
نویسنده
چکیده
The concepts of quantile position, trajectory, and velocity are defined. For a tunneling quantum mechanical wave packet, it is proved that its quantile position always stays behind that of a free wave packet with the same initial parameters. In quantum mechanics the quantile trajectories are mathematically identical to Bohm’s trajectories. A generalization to three dimensions is given.
منابع مشابه
QUANTUM TUNNELING IN MEDIUMS WITH LINEAR AND NONLINEAR DISSIPATION
We have applied the method of integration of the Heisenberg equation of motion proposed by Bender and Dunne, and M. Kamella and M. Razavy to the potential V(q) = v q - µ q with linear and nonlinear dissipation. We concentrate our calculations on the evolution of basis set of Weyl Ordered Operators and calculate the mean position , velocity , the commutation relation [q, p], and the energ...
متن کاملدینامیک سالیتون‌های مدل 6 φ در یک پتانسیل خارجی
In this paper, we study particle aspects of the φ6 kinks in an external potential. The external potential is implemented by breaking the translational invariance of the system. The dynamics of the kink is calculated for the simple harmonic oscillator (SHO) and barrier potentials. The periodic motion of the kink in the SHO case is compared to the corresponding ordinary (classical) motion. It i...
متن کاملQuantile coupling inequalities and their applications
This is partly an expository paper. We prove and highlight a quantile inequality that is implicit in the fundamental paper by Komlós, Major, and Tusnády [31] on Brownian motion strong approximations to partial sums of independent and identically distributed random variables. We also derive a number of refinements of this inequality, which hold when more assumptions are added. A number of exampl...
متن کاملRobust quantile estimation and prediction for spatial processes
In this paper, we present a statistical framework for modeling conditional quantiles of spatial processes assumed to be strongly mixing in space. We establish the L1 consistency and the asymptotic normality of the kernel conditional quantile estimator in the case of random fields. We also define a nonparametric spatial predictor and illustrate the methodology used with some simulations.
متن کاملA Study of Testing Mean Reversion in the Inflation Rate of Iran’s Provinces: New Evidence Using Quantile Unit Root Test
T his paper is to examine the mean reverting properties of inflation rates for Iran’s 25 provinces over the period from 1990:4 to 2017:7. To the end, we use various conventional univariate linear and non-linear unit root tests, as well as quantile unit root test by Koenker and Xiao (2004). Results of conventional unit root tests indicate that the null hypothesis of the unit root test...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998