2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96387We find a unitary operator which asymptotically diagonalizes the Tomonaga-Luttinger hamiltonian of one-dimensional spinless electrons. The operator performs a Bogoliubov rotation in the space of electron-hole pairs. If bare interaction of the physical electrons is sufficiently small this transformation maps the original Tomonaga-Luttinger system on a system of free fermionic quasiparticles. Our representation is useful when the electron dispersion deviates from linear form. For such situation we obtain non-perturbative results for the electron gas free energy and the density-density propagator.In the new version two new appendices are added, several errors and misprints are corrected; 19 pages, 3 eps figuresStrongly Correlated Electronstext