`Electronium`: a quantum atomic teaching model
... (mainly planetary orbit or shell conceptions: see table 1) or revert to their preconceptions after teaching, and thus there is no longterm learning effect. The planetary orbit preconception seems to be especially resistant to change (Bethge 1992, Fischler and Lichtfeldt 1992, Mueller and Wiesner 199 ...
... (mainly planetary orbit or shell conceptions: see table 1) or revert to their preconceptions after teaching, and thus there is no longterm learning effect. The planetary orbit preconception seems to be especially resistant to change (Bethge 1992, Fischler and Lichtfeldt 1992, Mueller and Wiesner 199 ...
The Nobel Prize in Physics 1901-2000
... In 1897, Joseph J. Thomson, who worked with rays emanating from the cathode in partly evacuated discharge tubes, identified the carriers of electric charge. He showed that these rays consisted of discrete particles, later called "electrons." He measured a value for the ratio between their mass and ( ...
... In 1897, Joseph J. Thomson, who worked with rays emanating from the cathode in partly evacuated discharge tubes, identified the carriers of electric charge. He showed that these rays consisted of discrete particles, later called "electrons." He measured a value for the ratio between their mass and ( ...
MPhys Radiation and Matter 2016–2017
... where the ‘T’ stands for J.J. Thomson, α is the fine structure constant, and mc Compton length of an electron. So the electron behaves as if it was ‘dressed’ with the ...
... where the ‘T’ stands for J.J. Thomson, α is the fine structure constant, and mc Compton length of an electron. So the electron behaves as if it was ‘dressed’ with the ...
A STRAIGHTFORWARD SET UP OF
... But, what we just have come to neglect essentially, is the effect of the mass decrease of the bound electron, altering the potential energy input to the classical Schrodinger Equation. In other words, the RHS of Eq.(31) or Eq.(32-b) represents the corrected Schrodinger eigenvalue based on only the r ...
... But, what we just have come to neglect essentially, is the effect of the mass decrease of the bound electron, altering the potential energy input to the classical Schrodinger Equation. In other words, the RHS of Eq.(31) or Eq.(32-b) represents the corrected Schrodinger eigenvalue based on only the r ...
results, conjectures and applications to quasicrystals
... Rd with 0∈Rω and Rτ −a ω . The set of ω’s with 0∈Rω is called the canonical transversal and will be denoted by ΓΩ0 . It is a compact subset of Ω. The set of pairs (ω, a) with ω ∈ ΓΩ0 , a ∈ Rd and τ −a ω ∈ ΓΩ0 is called the groupoid of the transversal and is denoted by Γ Ω [16]. A covariant family of ...
... Rd with 0∈Rω and Rτ −a ω . The set of ω’s with 0∈Rω is called the canonical transversal and will be denoted by ΓΩ0 . It is a compact subset of Ω. The set of pairs (ω, a) with ω ∈ ΓΩ0 , a ∈ Rd and τ −a ω ∈ ΓΩ0 is called the groupoid of the transversal and is denoted by Γ Ω [16]. A covariant family of ...
Physics 1212 Exam #4C (Final) Instructions:
... and the point charge combined, then jointly produce a net electric field, E ~ C , produced by the capacitor in the presence of Qo is the Assume that the elecric field, E same as in the absence of Qo . ~ at P ; its strength, |E|; ~ and its angle, θ, measured from (a) Calculate the components of E ...
... and the point charge combined, then jointly produce a net electric field, E ~ C , produced by the capacitor in the presence of Qo is the Assume that the elecric field, E same as in the absence of Qo . ~ at P ; its strength, |E|; ~ and its angle, θ, measured from (a) Calculate the components of E ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.