It is known that a particle presents the duality corpuscle-wave. In such a waythat a particle possesses an associated electromagnetic wave, the Doppler Effect appears in all the waves in such a way that it also affects the wave associated with the particle.In this article we study the Doppler Effect on the wave associated with the particle.

International Journal of Advanced ResearchMar 31, 20220 citations

Springer series in solid-state sciences

Many-Particle Effects

Serghey V. Vonsovsky, Mikhail I. Katsnelson

Published Jan 1, 1989• 0 citations

Publisher

DOI: 10.1007/978-3-642-50164-7_5

Related papers

Interacting Particle Effects

George D. J. Phillies

Graduate texts in contemporary physicsJan 1, 20000 citations

Effects of a finite number of particles on a weakly interacting Fermi gas in weak magnetic field

LV Lin

The partition function of system with finite number of particles is derived is derived by using partition function of a weakly interacting Fermi gas trapped in weak magnetic field.Based on the derived expressions,the analytical expressions of thermodynamic quantities of a weakly interacting Fermi gas for finite particle number are solved by using statistical average method and the thermodynamic properties under different temperature conditions are given.It is shown that each thermodynamic quantity has a correctional term due to effects of a finite number of particles.The particle number has a direct effect on correction of chemical potential but has no direct effects on corrections of total energy and heat capacity except T=0.Furthermore,effects of a finite number of particles always reduce chemical potential,thereby zero point of chemical potential shifts towards low temperatures.The increase of particle number weakens the effect,but the repulsive interactions between particles strengthen the effect.The partition function of system with finite number of particles is derived is derived by using partition function of a weakly interacting Fermi gas trapped in weak magnetic field.Based on the derived expressions,the analytical expressions of thermodynamic quantities of a weakly interacting Fermi gas for finite particle number are solved by using statistical average method and the thermodynamic properties under different temperature conditions are given.It is shown that each thermodynamic quantity has a correctional term due to effects of a finite number of particles.The particle number has a direct effect on correction of chemical potential but has no direct effects on corrections of total energy and heat capacity except T=0.Furthermore,effects of a finite number of particles always reduce chemical potential,thereby zero point of chemical potential shifts towards low temperatures.The increase of particle number weakens the effect,but the repulsive interactions between particles strengthen the effect.

Journal of Atomic and Molecular PhysicsJan 1, 20070 citations

Effective interaction of three resonantly interacting particles and the force range

V.N. Efimov

The effect of the force range ${\mathit{r}}_{0}$ on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction ${\mathit{r}}_{0}$ / ${\mathit{R}}^{3}$ in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric ${0}^{+}$ three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.The effect of the force range ${\mathit{r}}_{0}$ on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction ${\mathit{r}}_{0}$/${\mathit{R}}^{3}$ in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric ${0}^{+}$ three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.

Physical Review CMay 1, 199358 citations

Many-Particle Systems

T. William Houk, James Poth, John W. Snider

Elsevier eBooksJan 1, 19840 citations

Many-particle systems

K. Tamvakis

Cambridge University Press eBooksAug 11, 20050 citations

DOPPLER EFFECT ON THE WAVE ASSOCIATED WITH A PARTICLE

Alfredo Olmos Hernandez, Rafael Alejo Hernández

International Journal of Advanced ResearchMar 31, 20220 citations

The effect of the force range

{\mathit{r}}_{0}

on an effective long-range interaction in a system of three resonantly interacting particles is considered. By employing a boundary-condition approach, it is explicitly shown that the account of the force range gives rise to a correction

{\mathit{r}}_{0}

{\mathit{R}}^{3}

in the effective long-range interaction. The correction is universal (i.e., independent of detail structure of the force), and is attractive for symmetric

{0}^{+}

three-particle states. The effect of the correction on the well-known correlation between the three-particle binding energy and the particle-pair scattering length is calculated.