constant force and its quantization

نویسندگان

  • G. López
  • X. E. López
  • H. Hernández
چکیده

For a relativistic particle under a constant force and a linear velocity dissi-pation force, a constant of motion is found. Problems are shown for getting the Hamiltonian of this system. Thus, the quantization of this system is carried out through the constant of motion and using the quantization on the velocity variable. The dissipative relativistic quantum bouncer is outlined within this quantization approach.

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

Quantization of a Constant of Motion for the Harmonic Oscillator with a Time-explicitly Depending Force

The quantization of a constant of motion for the harmonic oscillator with a time-explicitly depending external force is carried out. This quantization approach is compared with the normal Hamiltonian quantization approach. Numerical results show that there are qualitative and quantitative differences for both approaches, suggesting that the quantization of this constant of motion may be verifie...

متن کامل

nt - p h / 06 08 14 9 v 1 1 8 A ug 2 00 6 Quantization of a one - dimensional time - dependent periodic system with Hamiltonian and constants of motion approaches

For a particle moving in a one-dimensional space an under a periodic external force, its quantization is study using the Hamiltonian (generalized linear momentum quan-tization) and constant of motion (velocity quantization) approaches. it is shown a great difference on the quantization of both approaches and the ambiguities arisen by using the quantization on the constants of motion.

متن کامل

An Elasticity Solution for Static Analysis of Functionally Graded Curved Beam Subjected to a Shear Force

In this paper, using 2-D theory of elasticity, a closed-form solution is presented for stressdistributions and displacements of a FG curved beam under shear force at its free end. The materialproperties are assumed to vary continuously through the radial direction based on a simple power lawmodel and Poisson’s ratio is supposed to be constant. In order to verify the solution, it is shown that a...

متن کامل

Size quantization effects in thin film Casimir interaction

We investigate the role of size quantization in the vacuum force between metallic films of nanometric thickness. The force is calculated by the Lifshitz formula with the film dielectric tensor derived from the one-electron energies and wavefunctions under the assumption of a constant potential inside the film and a uniform distribution of the positive ion charge. The results show that quantizat...

متن کامل

High Resolution Image with Multi-wall Carbon Nanotube Atomic Force Microscopy Tip (RESEARCH NOTE)

In this paper, a simple and reproducible approach for attaching the multi-wall carbon nanotubes (MWNTs) to the apex of the atomic force microscope probe has been proposed. For this purpose, the dielectrophoresis method was applied due to its simple performance, cheapness and reliability. In this method, various parameters such as voltage, frequency, concentration of carbon nanotubes solution an...

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 2005