Scalar field equation
WebAug 31, 2024 · There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static … WebThe scalar field has the simplest structure: It has one internal degree (component) of freedom φ, and the second kinetic degree occurs as the first one altering in space-time: The Lagrangian for the free scalar field has the following form [5]: (5.70) where ( ∂νφ) 2 /2 is the kinetic term and μ2φ2 /2 is the potential term.
Scalar field equation
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WebEach term in this equation is a Lorentz scalar, if is a scalar. Now we want to find a reasonable Lagrangian for a scalar field. The Lagrangian depends on the and its …
WebSep 22, 2024 · In this paper, a field–circuit combined simulation method, based on the magnetic scalar potential volume integral equation (MSP-VIE) and its fast algorithms, are proposed for the transient simulation and nonlinear distortion analysis of the magnetic balance current sensor. The magnetic part of the sensor is modeled and simulated by … WebIn scalars +,- do not stand for direction; these only show gain or loss. An equation that is not concerned with direction of the quantities is a scalar equation. Share Cite Follow edited Mar 20, 2014 at 4:05 Yiyuan Lee 14.2k 4 39 68 answered Mar 20, 2014 at 3:34 user136682 11 1 Add a comment You must log in to answer this question.
WebThe equation above for electric potential energy difference expresses how the potential energy changes for an arbitrary charge, q q q q when work is done on it in an electric ... The power of the voltage concept is that it … WebFollowing is the Einstein Field Equation: G μ υ + g μ υ Λ = 8 π G c 4 T μ υ Where, Gμ𝜐 is the Einstein tensor which is given as Rμ𝜐- (½ × Rgμ𝜐) Rμ𝜐 is the Ricci curvature tensor R is the scalar curvature gμ𝜐 is the metric tensor 𝚲 is …
WebField number states are often studied in the context of Bose-Einstein condensates [28] but have not yet been studied numerically for the case of cosmic dark matter as we do here. A number of calculations of this convergence and its implications for the quantum breaktime of scalar eld dark matter exist in the literature [10,13,15,19].
WebMar 19, 2024 · Almost all of them can be described fully by either a scalar (just knowing the amount is enough) or vector (where the amount and also which way it points is important) … sex and arthritisWebExact Solutions of Classical Scalar Field Equations 295 giving rise to a “mass spectrum” [7] n = n π K(i) µ0 √ 3 (2.18) with n =0,1,2,.... 3. Quantum Field Theory of a Massless Scalar … sex and brainWebApr 4, 2024 · We build a self-consistent relativistic scalar theory of gravitation on a flat Minkowski spacetime from a general field Lagrangian. It is shown that, for parameters that satisfy the Equivalence Principle, this theory predicts the same outcome as general relativity for every classical solar-system test. This theory also admits gravitational waves that … sex and asthmaWebJune 16, 2011 9:27 WSPC/1402-9251 259-JNMP S1402925111001441 Exact Solutions of Classical Scalar Field Equations 293 provided that p2 = µ2 0 + λµ4 µ2 0 + µ4 0 +2λµ4 (2.3) beingθ and µ two integration constants and sn a Jacobi elliptical function that is periodic representing a nonlinear wave-like solution. sex and aspergersWebJun 13, 2024 · I have varied the action of the scalar field and obtained the scalar field equation of motion for a generic metric $g_ {\mu\nu}$ : $$g_ {\mu\nu} \partial^\mu \partial^\nu \phi - \frac {\delta V (\phi)} {\delta \phi}=0.$$ Now, I suppose that the $\ddot {\phi}$ term in the equation of motion is sourced by the $g_ {00}$ component of the … the twins calamity modIn quantum field theory, a scalar field is associated with spin-0 particles. The scalar field may be real or complex valued. Complex scalar fields represent charged particles. These include the Higgs field of the Standard Model, as well as the charged pions mediating the strong nuclear interaction. See more In mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number (dimensionless) or a scalar physical quantity See more Mathematically, a scalar field on a region U is a real or complex-valued function or distribution on U. The region U may be a set in some Euclidean space, Minkowski space, or more generally a subset of a manifold, and it is typical in mathematics to impose further … See more • Scalar field theory • Vector boson • Vector-valued function See more In physics, scalar fields often describe the potential energy associated with a particular force. The force is a vector field, which can be … See more • Vector fields, which associate a vector to every point in space. Some examples of vector fields include the electromagnetic field and … See more the twins by cornelia polettoWeb5/23 January 24, 2011 Rainer Mandel - Nonlinear Scalar Field Equations I Institute for Analysis. Karlsruhe Institut für Technologie IntroductionExistence of a solutionProperties of u: ground state etc.Comments The proof is based on Lagrange’s multiplier rule: A solution u0 of the problem min V I1 V:= fv 2H1(Rn) : I2(v) = 1g sex and back pain