Quantum-Mechanical Concepts in the Waveguides Theory

1992 ◽  
Vol 47 (9) ◽  
pp. 935-940 ◽  
Author(s):  
N. Marinescu ◽  
M. Apostol
Keyword(s):  
Cross Section ◽  
Power Transmission ◽  
Type Equation ◽  
Transmission Factor ◽  
Quantum Mechanical ◽  
General Applicability ◽  
Frequency Shifts ◽  
Standard Methods ◽  
Klein Gordon ◽  
Mechanical Interpretation

Abstract A Klein-Gordon-type equation is derived for the wave propagation in an ideal, uniform waveguide, and its quantum-mechanical interpretation is given. The "cross-section" concept is introduced for a waveguide and the power transmission factor is obtained by using standard methods of quantum mechanics. The spinorial formalism is also employed for deriving the equivalent Dirac-type equation, and the perturbation theory is applied for computing the frequency shifts. The general applicability of the quantum-mechanical concepts to the waveguides theory is discussed

scholarly journals QUANTUM SINGULARITIES IN STATIC SPACETIMES

2011 ◽  
Vol 20 (05) ◽  
pp. 729-743 ◽  
Author(s):  
JOÃO PAULO M. PITELLI ◽  
PATRICIO S. LETELIER
Keyword(s):  
Quantum Mechanics ◽  
Wave Operator ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Mathematical Framework ◽  
Physical Content ◽  
Dirac Equations ◽  
Quantum Particles ◽  
Klein Gordon ◽  
Quantum Singularities

We review the mathematical framework necessary to understand the physical content of quantum singularities in static spacetimes. We present many examples of classical singular spacetimes and study their singularities by using wave packets satisfying Klein–Gordon and Dirac equations. We show that in many cases the classical singularities are excluded when tested by quantum particles but unfortunately there are other cases where the singularities remain from the quantum mechanical point of view. When it is possible we also find, for spacetimes where quantum mechanics does not exclude the singularities, the boundary conditions necessary to turn the spatial portion of the wave operator to be self-adjoint and emphasize their importance to the interpretation of quantum singularities.

Mechanics of a charged particle on the Kaluza–Klein background

1995 ◽  
Vol 73 (9-10) ◽  
pp. 602-607 ◽  
Author(s):  
S. R. Vatsya
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Integral Method ◽  
Gordon Equation ◽  
Type Equation ◽  
Fifth Dimension ◽  
Klein Gordon ◽  
Path Integral Method ◽  
Klein Gordon Equation ◽  
Kaluza Klein

The path-integral method is used to derive a generalized Schrödinger-type equation from the Kaluza–Klein Lagrangian for a charged particle in an electromagnetic field. The compactness of the fifth dimension and the properties of the physical paths are used to decompose this equation into its infinite components, one of them being similar to the Klein–Gordon equation.

A Quantum Mechanical Interpretation of Observation

Leonardo ◽  
1991 ◽  
Vol 24 (5) ◽  
pp. 581
Author(s):  
Leo Narodny
Keyword(s):  
Quantum Mechanical ◽  
Mechanical Interpretation

Research on the Anti-Vibration Technology of Large Cross-Section Conductor

2013 ◽  
Vol 457-458 ◽  
pp. 522-526
Author(s):  
Jun Zhang ◽  
Kuan Jun Zhu ◽  
Zhen Liu ◽  
Xue Ping Zhan
Keyword(s):  
Cross Section ◽  
Performance Test ◽  
Power Transmission ◽  
Normal Operation ◽  
Large Cross Section ◽  
Element Analysis ◽  
Test Analysis ◽  
Vibration Effect ◽  
The Finite Element Analysis ◽  
Vibration Technology

The conductor is an important part of the process of power transmission. Keep conductor to be normal operation is an important link of power transmission. In practice, Due to the influence of many weather environments, such as wind, temperature, rain and snow, the conductor often appear ice disaster, dance and other disasters; therefore, the anti-vibration technology of conductor is an urgent need to develop. This paper masters the performance of damper by carrying out a great deal of performance test analysis, such as self-damping, the power of damper, anti-vibration effect. At the same time, this paper understands the effect of spacer arrangement on the sub span oscillation, through the finite element analysis and lingo program of nonlinear programming, laying the foundation for studying anti-vibration technology for large cross-section conductor.

Electronic spectra of azobenzene and p-dimethylaminoazobenzene adsorbed on surface of aluminosilicate catalysts and their quantum-mechanical interpretation

1981 ◽  
Vol 35 (1) ◽  
pp. 754-757
Author(s):  
V. V. Goncharuk ◽  
A. G. Grebenyuk ◽  
L. I. Savranskii ◽  
V. F. Gorchev ◽  
A. N. Chernega
Keyword(s):  
Electronic Spectra ◽  
Quantum Mechanical ◽  
Mechanical Interpretation

scholarly journals l-state Solutions of the Relativistic and Non-Relativistic Wave Equations for Modified Hylleraas-Hulthen Potential Using the Nikiforov-Uvarov Quantum Formalism

2018 ◽  
Vol 3 (1) ◽  
pp. 03-09 ◽  
Author(s):  
Hitler Louis ◽  
Ita B. Iserom ◽  
Ozioma U. Akakuru ◽  
Nelson A. Nzeata-Ibe ◽  
Alexander I. Ikeuba ◽  
...  
Keyword(s):  
Wave Equations ◽  
Approximation Scheme ◽  
Jacobi Polynomials ◽  
Energy Eigenvalue ◽  
Relativistic Wave Equations ◽  
Wave Functions ◽  
Quantum Mechanical ◽  
Relativistic Wave ◽  
Type Approximation ◽  
Klein Gordon

An exact analytical and approximate solution of the relativistic and non-relativistic wave equations for central potentials has attracted enormous interest in recent years. By using the basic Nikiforov-Uvarov quantum mechanical concepts and formalism, the energy eigenvalue equations and the corresponding wave functions of the Klein–Gordon and Schrodinger equations with the interaction of Modified Hylleraas-Hulthen Potentials (MHHP) were obtained using the conventional Pekeris-type approximation scheme to the orbital centrifugal term. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials.

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