An exact solution of a molecular field equation in the theory of ferromagnetism

1973 ◽  
Vol 24 (2) ◽  
pp. 281-286 ◽  
Author(s):  
C. E. Siewert ◽  
C. J. Essig
Keyword(s):  
Exact Solution ◽  
Field Equation ◽  
Molecular Field

Linearized Nonlocal Gravity

2017 ◽  
Author(s):  
Bahram Mashhoon
Keyword(s):  
Exact Solution ◽  
Dark Matter ◽  
Gravitational Field ◽  
Field Equation ◽  
Gravitational Lensing ◽  
Modified Gravity ◽  
Trivial Solution ◽  
Minkowski Spacetime ◽  
Linear Regime ◽  
Simple Generalization

The only known exact solution of the field equation of nonlocal gravity (NLG) is the trivial solution involving Minkowski spacetime that indicates the absence of a gravitational field. Therefore, this chapter is devoted to a thorough examination of NLG in the linear approximation beyond Minkowski spacetime. Moreover, the solutions of the linearized field equation of NLG are discussed in detail. We adopt the view that the kernel of the theory must be determined from observation. In the Newtonian regime of NLG, we recover the phenomenological Tohline-Kuhn approach to modified gravity. A simple generalization of the Kuhn kernel leads to a three-parameter modified Newtonian force law that is always attractive. Gravitational lensing is discussed. It is shown that nonlocal gravity (NLG), with a characteristic galactic lengthscale of order 1 kpc, simulates dark matter in the linear regime while preserving causality.

Exact solution of a two-component Calogero-Sutherland model with molecular field

2002 ◽  
Vol 66 (1) ◽  
Author(s):  
Junpeng Cao ◽  
Gang Xiong ◽  
Ruihong Yue ◽  
Yupeng Wang
Keyword(s):  
Exact Solution ◽  
Molecular Field ◽  
Two Component ◽  
Sutherland Model

scholarly journals EXACT SOLUTION OF THE MASSLESS DKP EQUATION IN A NONSTATIONARY GÖDEL-TYPE COSMOLOGICAL UNIVERSE

2004 ◽  
Vol 13 (05) ◽  
pp. 935-944 ◽  
Author(s):  
ALI HAVARE ◽  
OKTAY AYDOGDU ◽  
TAYLAN YETKIN
Keyword(s):  
Exact Solution ◽  
Field Equation ◽  
Exact Solutions ◽  
Frequency Spectrum ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Classical Field ◽  
Dkp Equation ◽  
Cosmological Background

In this paper the massless Duffin–Kemmer–Petiau equation in a nonstationary rotating, causal Gödel-type cosmological background is studied. Exact solutions of the corresponding field equation are obtained and used to calculate the frequency spectrum of photon in nonstationary Gödel-type universe. To compare the results found with the classical field solutions, we also solved Maxwell's equations as given in the appendix.

scholarly journals D = 26 AND EXACT SOLUTION TO THE CONFORMAL-GAUGE TWO-DIMENSIONAL QUANTUM GRAVITY

1999 ◽  
Vol 14 (04) ◽  
pp. 521-536 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Exact Solution ◽  
Field Equation ◽  
Quantum Gravity ◽  
Critical Dimension ◽  
Bosonic String ◽  
Ghost Number ◽  
Conformal Anomaly ◽  
Two Dimensional ◽  
Heisenberg Picture ◽  
Conformal Gauge

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: all n-point Wightman functions are explicitly obtained. The field-equation anomaly is shown to exist as in other gauges, but there is no other subtlety. At the critical dimension D = 26 of the bosonic string, the field-equation anomaly is shown to be absent. However, this result is not equivalent to the statement that the conformal anomaly is proportional to D - 26. The existence of the FP-ghost number current anomaly is seen to be an illusion.

Branching of symmetric solution of molecular field equation

1992 ◽  
Vol 90 (2) ◽  
pp. 166-174 ◽  
Author(s):  
A. N. Shramkov ◽  
P. P. Shtifanyuk
Keyword(s):  
Field Equation ◽  
Symmetric Solution ◽  
Molecular Field

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model
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