Hydrogen atom in a uniform electromagnetic field as an anharmonic oscillator

1984 ◽  
Vol 39 (14) ◽  
pp. 319-323 ◽  
Author(s):  
M. Kibler ◽  
T. Negadi
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Anharmonic Oscillator ◽  
Uniform Electromagnetic Field

Variable scaling method and the Stark effect in the hydrogen atom

1985 ◽  
Vol 63 (9) ◽  
pp. 1212-1214
Author(s):  
R. K. Roychoudhury ◽  
Barnana Roy
Keyword(s):  
Hydrogen Atom ◽  
Stark Effect ◽  
Anharmonic Oscillator ◽  
Laguerre Polynomials ◽  
Numerical Results ◽  
Optimal Solutions ◽  
Matrix Elements ◽  
Scaling Method ◽  
Energy Eigenvalues

By relating the Stark-effect problem in hydrogenlike atoms to that of the spherical anharmonic oscillator, we have found simple formulae for energy eigenvalues for the Stark effect. Matrix elements have been calculated using the properties of Laguerre polynomials, and then the variable scaling method has been used to find optimal solutions. Our numerical results are compared with those of Hioe and Yoo and also with the results obtained by Lanczos.

Uniform electromagnetic field as viscous medium for moving particles

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
M. Ya. Amusia ◽  
A. S. Baltenkov ◽  
Z. Felfli ◽  
A. Z. Msezane ◽  
A. B. Voitkiv
Keyword(s):  
Electromagnetic Field ◽  
Viscous Medium ◽  
Uniform Electromagnetic Field

scholarly journals THE PROPER TIME EQUATION AND THE ZAMOLODCHIKOV METRIC

1996 ◽  
Vol 11 (16) ◽  
pp. 2887-2906 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Electromagnetic Field ◽  
Renormalization Group ◽  
Vector Field ◽  
Proper Time ◽  
Beta Function ◽  
Open String ◽  
Point Function ◽  
Gauge Invariant ◽  
Electromagnetic Field Strength ◽  
Uniform Electromagnetic Field

The connection between the proper time equation and the Zamolodchikov metric is discussed. The connection is twofold. First, as already known, the proper time equation is the product of the Zamolodchikov metric and the renormalization group beta function. Second, the condition that the two-point function is the Zamolodchikov metric implies the proper time equation. We study the massless vector of the open string in detail. In the exactly calculable case of a uniform electromagnetic field strength we recover the Born-Infeld equation. We describe the systematics of the perturbative evaluation of the gauge-invariant proper time equation for the massless vector field. The method is valid for nonuniform fields and gives results that are exact to all orders in derivatives. As a nontrivial check, we show that in the limit of uniform fields it reproduces the lowest order Born-Infeld equation.

Effect of uniform electromagnetic field on the trajectory of a free jet in a resistant medium proportional to the velocity.

2015 ◽  
Vol 11 (1) ◽  
pp. 2909-2913
Author(s):  
Mercy Amaebi Orukari ◽  
Ngiangia, A. T
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Velocity Profile ◽  
Electric Field ◽  
Fluid Particle ◽  
Governing Equations ◽  
Free Jet ◽  
Resistant Medium ◽  
Uniform Electromagnetic Field

The effect of electromagnetic field in a resistant medium of a free jet was carried out. The solutions of the governing equations showed that increase in electric field also increases the  velocity profile of the fluid while increase in magnetic field decreases the velocity of the fluid particle. Increase in path angle beyond radian, shows improved location of objects in a resistant medium proportional to the velocity. 

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