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The spectra and correlation of identical particles emitted from smalllocal-equilibrium sources are considered. The size of the system is defined bythe negative part of the parabolic falling chemical potential. The analyticalsolution of the problem is found for the case of inclusive measurements. It isshown that in the case where the size of the system is comparable to thethermal wavelength of the particles, the spectra and correlation functions arefar from the quasiclassical approximation expected for large systems, andobserved femtoscopy scales (interferometry radii) will be essentially smallerthan the Gaussian radii of the source. If the maximum value of the chemicalpotential approaches the critical one, specific for the system, one canconsider the possibility of the Bose-Einstein condensation. In such a case thereduction of the intercept of the correlation function for inclusivemeasurements takes place. The results can be used for the searching offemtoscopy homogeneity lengths in proton-proton collisions at LHC energies.

Inclusive spectra and Bose-Einstein correlations in small thermal quantum systems