New inequalities for the Coulomb T matrix in momentum space

The Bose–Einstein condensation and appearance of superfluidity and superconductivity are introduced from basic phenomena. A systematic theory based on the asymmetric expansion of chapter 11 is shown to correct the T-matrix from unphysical multiple-scattering events. The resulting generalised Soven scheme provides the Beliaev equations for Boson’s and the Nambu–Gorkov equations for fermions without the usage of anomalous and non-conserving propagators. This systematic theory allows calculating the fluctuations above and below the critical parameters. Gap equations and Bogoliubov–DeGennes equations are derived from this theory. Interacting Bose systems with finite temperatures are discussed with successively better approximations ranging from Bogoliubov and Popov up to corrected T-matrices. For superconductivity, the asymmetric theory leading to the corrected T-matrix allows for establishing the stability of the condensate and decides correctly about the pair-breaking mechanisms in contrast to conventional approaches. The relation between the correlated density from nonlocal kinetic theory and the density of Cooper pairs is shown.

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Application of a momentum-space semi-locally regularized chiral potential to selected disintegration processes

Physical Review C ◽

10.1103/physrevc.103.024003 ◽

2021 ◽

Vol 103 (2) ◽

Author(s):

V. Urbanevych ◽

R. Skibiński ◽

H. Witała ◽

J. Golak ◽

K. Topolnicki ◽

...

Keyword(s):

Momentum Space ◽

Chiral Potential

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Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02488-5 ◽

2020 ◽

Vol 2020 (1) ◽

Cited By ~ 1

Author(s):

Dafang Zhao ◽

Muhammad Aamir Ali ◽

Artion Kashuri ◽

Hüseyin Budak ◽

Mehmet Zeki Sarikaya

Keyword(s):

Convex Functions ◽

Fractional Integrals ◽

Special Cases ◽

Definition Of ◽

The Given ◽

Class Of Functions ◽

Interval Valued ◽

New Inequalities

Abstract In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h-convex functions”. We establish some inequalities of Hermite–Hadamard type for a newly defined class of functions by using generalized fractional integrals. Our new inequalities are the extensions of previously obtained results like (D.F. Zhao et al. in J. Inequal. Appl. 2018(1):302, 2018 and H. Budak et al. in Proc. Am. Math. Soc., 2019). We also discussed some special cases from our main results.

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