The effect of rational substitutions on the monodromy group of the generaln th order equation of the Fuchsian class

1978 ◽  
Vol 163 (2) ◽  
pp. 111-119 ◽  
Author(s):  
Kathryn Kuiken
Keyword(s):  
Monodromy Group ◽  
Order Equation

COMPLEX MASS FERMIONIC FIELDS

1994 ◽  
Vol 09 (12) ◽  
pp. 2103-2115 ◽  
Author(s):  
D.G. BARCI ◽  
L.E. OXMAN
Keyword(s):  
Degrees Of Freedom ◽  
Order Equation ◽  
Complex Conjugate ◽  
Zero Energy ◽  
Natural Representation ◽  
Symmetric State ◽  
Fermionic Field ◽  
Fermionic Fields ◽  
Real Mass ◽  
Mass Case

We consider a fermionic field obeying a second order equation containing a pair of complex conjugate mass parameters. After obtaining a natural representation for the different degrees of freedom, we are able to construct a unique vacuum as the more symmetric state (zero energy-momentum, charge and spin). This representation, unlike the real mass case, is not holomorphic in the Grassmann variables. The vacuum eigenstate allows the calculation of the field propagator which turns out to be half advanced plus half retarded.

On a nonlinear third-order equation

2017 ◽  
Vol 102 (1-2) ◽  
pp. 3-11 ◽  
Author(s):  
A. I. Aristov
Keyword(s):  
Order Equation ◽  
Third Order

scholarly journals Non-Linear Neutral Differential Equations with Damping: Oscillation of Solutions

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 285
Author(s):  
Saad Althobati ◽  
Jehad Alzabut ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Order Equation ◽  
Second Order ◽  
Riccati Technique ◽  
Neutral Equations ◽  
Neutral Differential Equations ◽  
Main Equation ◽  
Non Linear ◽  
Even Order

The oscillation of non-linear neutral equations contributes to many applications, such as torsional oscillations, which have been observed during earthquakes. These oscillations are generally caused by the asymmetry of the structures. The objective of this work is to establish new oscillation criteria for a class of nonlinear even-order differential equations with damping. We employ different approach based on using Riccati technique to reduce the main equation into a second order equation and then comparing with a second order equation whose oscillatory behavior is known. The new conditions complement several results in the literature. Furthermore, examining the validity of the proposed criteria has been demonstrated via particular examples.

scholarly journals A relativistic basis of the quantum theory.—II

1934 ◽  
Vol 145 (855) ◽  
pp. 645-656 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Wave Equation ◽  
Quantum Theory ◽  
General Expression ◽  
Matrix Equation ◽  
Covariant Derivative ◽  
Riemannian Geometry ◽  
Order Equation ◽  
Second Order ◽  
Space Curvature

The paper is a continuation of the last paper communicated to these 'Proceedings.' In that paper, which we shall refer to as the first paper, a more general expression for space curvature was obtained than that which occurs in Riemannian geometry, by a modification of the Riemannian covariant derivative and by the use of a fifth co-ordinate. By means of a particular substitution (∆ μσ σ = 1/ψ ∂ψ/∂x μ ) it was shown that this curvature takes the form of the second order equation of quantum mechanics. It is not a matrix equation, however but one which has the character of the wave equation as it occurred in the earlier form of the quantum theory. But it contains additional terms, all of which can be readily accounted for in physics, expect on which suggested an identification with energy of the spin.

On a conjecture of Magnus on the Hurwitz Monodromy group

1973 ◽  
Vol 132 (1) ◽  
pp. 45-50 ◽  
Author(s):  
Colin Maclachlan
Keyword(s):  
Monodromy Group

Well-posedness of boundary value problems for a second-order equation

2009 ◽  
Vol 80 (2) ◽  
pp. 650-652 ◽  
Author(s):  
V. A. Kostin ◽  
M. N. Nebol’sina
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Order Equation ◽  
Second Order ◽  
Well Posedness

scholarly journals THE QUANTIZATION OF A FOURTH-ORDER EQUATION WITHOUT A SECOND-ORDER LAGRANGIAN

2010 ◽  
Vol 17 (4) ◽  
pp. 485-490 ◽  
Author(s):  
M. C. NUCCI ◽  
P. G. L. LEACH
Keyword(s):  
Fourth Order ◽  
Order Equation ◽  
Second Order ◽  
Fourth Order Equation
Sign in / Sign up

Export Citation Format

Share Document