In the present article, we extended the quantum virial and HellmannแFeynman theorems to the quantum statistical averages, that is, to the thermal states. We obtained some new formulas which make possible expressing the thermodynamical observables of the system as functions of the moments of coordina
โฆ LIBER โฆ
An extension of the theorem of the virial and its application to the kinetic theory of gases
โ Scribed by H.T. Eddy
- Publisher
- Elsevier Science
- Year
- 1883
- Tongue
- English
- Weight
- 600 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0016-0032
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Consider a triangular array \(X_{1}^{n}, \ldots, X_{n}^{n}, n \in \mathbb{N}\), of rowwise independent random clements with values in a measurable space. Suppose there exists \(\theta \in[0,1)\) such that \(X_{1}^{n}, \ldots, X_{\left.\left[n^{n}\right\}\right]}^{n}\) have distribution \(v_{1}\) and