Quantum Mechanics with Trajectories: Quantum Trajectories and Adaptive Grids

نویسندگان

  • Robert E. Wyatt
  • Eric R. Bittner
چکیده

Although the foundations of the hydrodynamical formulation of quantum mechanics were laid over 50 years ago, it has only been within the past few years that viable computational implementations have been developed. One approach to solving the hydrodynamic equations uses quantum trajectories as the computational tool. The trajectory equations of motion are described and methods for implementation are discussed, including fitting of the fields to gaussian clusters.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

مطالعه انتشار همدوس لپتون‌های باردار ناشی از واپاشی پایون و W بوزون در مکانیک بوهمی

Although charged leptons, contrary to neutrinos, cannot oscillate, exploring whether a coherent  superposition of charged lepton states can change to others during the propagation is an important problem in the neutrino oscillation theory. In this paper, we consider electrons and muons coming from the pions and W decays and study their propagation in relativistic Bohmian quantum mechanics. We f...

متن کامل

Using quantum trajectories and adaptive grids to solve quantum dynamical problems

Quantum dynamical descriptions of chemical systems help us elucidate and understand chemical reactivity, energy flow, and transformations at a fundamental level. As the size and dimensionality D of the systems we wish to study increases (D = 3N – 3 for an N atom system), the computational overhead in both CPU time and storage increases exponentially to the point that we can currently only offer...

متن کامل

یک نظریه جایگزین برای مکانیک بوهمی

 In this article, a causal model on the basis of trajectory is introduced for description of quantum systems. This theory is structurally very similar to Bohme mechanics, and like Bohme theory reproduces all statistical consequences of standard quantum mechanics. Particle trajectories in this model are different from anticipated ones by Bohme model. Quantum potential (force) form, which is give...

متن کامل

Quantum Trajectories and Quantum Measurement Theory

Beyond their use as numerical tools, quantum trajectories can be ascribed a degree of reality in terms of quantum measurement theory. In fact, they arise naturally from considering continuous observation of a damped quantum system. A particularly useful form of quantum trajectories is as linear (but non-unitary) stochastic Schrödinger equations. In the limit where a strong local oscillator is u...

متن کامل

Are Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems

The de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de Broglie-Bohm account of the properties of semiclassical systems. Semiclassical systems are quantum systems that display the manifestation of classical trajectories: the...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003