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Spontaneous symmetry breaking and inversion line spectroscopy in gas mixtures | | Carlo Presilla
; Giovanni Jona-Lasinio
; | | Date: |
9 Jan 2015 | | Abstract: | According to quantum mechanics chiral molecules, that is molecules that
rotate the polarization of light, should not exist. The simplest molecules
which can be chiral have four or more atoms with two arrangements of minimal
potential energy that are equivalent up to a parity operation. Chiral molecules
correspond to states localized in one potential energy minimum and can not be
stationary states of the Schr"odinger equation. A possible solution of the
paradox can be founded on the idea of spontaneous symmetry breaking (SSB). This
idea was behind work we did previously involving a localization phase
transition: at low pressure the molecules are delocalized between the two
minima of the potential energy while at higher pressure they become localized
in one minimum due to the intermolecular dipole-dipole interactions. Evidence
for such a transition is provided by measurements of the inversion spectrum of
ammonia and deuterated ammonia at different pressures. A previously proposed
model gives a satisfactory account of the empirical results without free
parameters. In the present paper, we extend this model to gas mixtures. The
main results are i. also in the case of mixtures there is a phase transition,
ii. we derive formulas expressing the critical pressure of the mixture at which
the transition takes place, iii. we derive formulas giving the dependence of
the inversion frequencies on the pressure. These predictions are susceptible of
experimental test. | | Source: | arXiv, 1501.2099 | | Services: | Forum | Review | PDF | Favorites | |
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