• Aucun résultat trouvé

• Show that the Bose symmetry of the photon imposes a constraint on the wave function.

N/A
N/A
Protected

Academic year: 2022

Partager "• Show that the Bose symmetry of the photon imposes a constraint on the wave function."

Copied!
1
0
0

Texte intégral

(1)

Quantum Field Theory

Set 17

Exercise 1: Multiple photons states

Consider the wave function for a state consisting of two photons:

• Show that the Bose symmetry of the photon imposes a constraint on the wave function.

• Find the condition on the wave function in order to have a physical state.

• Find the condition on the wave function in order to have a state with positive norm.

Exercise 2: Transformation properties of transverse photons

The polarization of a photon of momentum k

µ

is defined by the four vector ε

µ

satisfying ε

µ

k

µ

= 0. In the Coulomb

gauge we instead use the transverse polarization ε

µ

= (0, ~ ε

). Show that the conditions ε

0

= 0 and ε

i

k

i

= 0 are

not Lorentz invariant (namely, the Lorentz transform of ε

µ

has in general ε

0⊥0

6= 0 and ε

0⊥i

k

0i

6= 0), but it is still

possible to find a vector ˜ ε

µ

= ε

0⊥µ

+ αk

0µ

, i.e. equal to ε

0⊥µ

up to a longitudinal component, which is satisfying the

two conditions.

Références

Documents relatifs

The systematic uncertainties arising from the variations of the angular acceptance are assessed using pseudo-experiments that are generated with one acceptance model and

Der Verfasser breitet dabei eine ganze Palette von Typen aus, die von begrenzten Zielen über Strafexpeditionen, die Gehorsamserzwingung, den Regimewechsel, die Unterwerfung sowie

In terms of tilings, internal energy and entropy are usually defined as follows: the internal energy of a finite decorated tiling is proportional to its number of mismatches, while

Le chapitre 2 est consacré au dispositif relatif à l’analyse du cours proposé en classe de FLE auprès des apprenants du CEIL (Niveau II), dont les cinq groupes sont

A experiência ora relatada apoiou-se na intervenção da extensão aquícola executada pelo Projeto Estruturação e Fortalecimento dos Setores Produtivos da

AndAlso est comme And sauf qu'il économise du temps : il dit False quand la condition qui le précède est False, puis sinon True si les deux opérandes sont True, sinon False. Cet

The decomposition of the Laughlin wave function in the Slater orthogonal basis appears in the discussion on the second-quantized form of the Laughlin states and is

Les travaux réalisés dans le cadre de cette thèse de doctorat ont eu pour but de vérifier, et ainsi valider ou invalider, les trois points de l’hypothèse présentée au chapitre

As the main result of this paper, we employ equality (1.4) to show that in the case of radial functions the answer to W 1,1 -problem is positive (Theorem 3.12).. Even in this case,

Keywords: physical method, Riemann zeta function, L-functionm, identity of a type of infinite series, upper and lower bounds, circumference ratio...

In Section 7, by using H¨ ormander’s L 2 estimates, we establish the local L 2 closed range property for (0) b with respect to Q (0) for some weakly pseudoconvex tube domains in C n

These corrections are determined using a sample of fully reconstructed hadronic events, each containing a FSR photon, generated with a parton shower Monte Carlo and processed with

2014 In a disordered system the normal wave function 03A8 is a complicated quantity depending on the particular configuration.. Physical quantities have to

Although briefly introduce in Section 1.1, this section provides more detail specific to marine vessel control systems and terminology. To create the

Contrary to the phase wave model the guidance or pilot wave con- cept [14] is based on the Schr¨ odinger equation and on the probability density interpretation of the wave

We calculate the two relativistic components of the pion wave function in a simple one-gluon exchange model and investigate various physical observables: decay constant, charge

Processus lésionnel latéro cervical gauche 60*45*94.7 mm, hypodense hétérogène, non rehaussée après injection du produit de contraste. L’extension se fait en

En effet, nous remarquons bien l’effet de changement de plan de coupe pour l’antenne Fente, nous disposons, dans le cas des antennes IFA et dipôle, d’un plan E presque constant

Write down the transition matrix between the bases

We shall say that two power series f, g with integral coefficients are congruent modulo M (where M is any positive integer) if their coefficients of the same power of z are

The chemical modification of aliphatic polyesters remains, at the time being, a very difficult task to achieve because of the very limited number of efficient

An efficient algorithm, derived from Dijkstra’s shortest path algorithm, is introduced to achieve interval consistency on this global constraint.. Mathematics

[r]