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The pandemic within dreams. The article aims to analyse different representations of the pandemic within dreams to trace correspondences between the symbolic expressions of the oneiric language and the sociology of the imaginary. The theoretical-methodological framework of Carl G. Jung and Marie-Louise von Franz guides the articulation of the essay. The unconscious lived through the memory of dreams has the typical and strong tendency to be projected externally, hence the hypothesis that it is possible to grasp its reflections in external reality and the social world. The question to be answered concerns which shared movements are present in the unconscious of individual subjects during the current period dominated by the pandemic and which relationships can be detected between the symbolic material emerging in individual dreams and some contemporary cultural phenomena. The empirical material is drawn from a series of interdisciplinary meetings regarding patients' dreams during the pandemic.

In this note we first investigate in detail the “heat equation” with the free Laplacian replaced by the one with a repulsive point interaction centred at the origin in the case where the initial condition is given by any function proportional to e^x/2 χ(−∞,0](x). The solution is expressed in terms of the cumulative function of the normal distribution in view of its direct application to derivative pricing. In the second part of the paper, with reference to the quantum mechanical approach to option pricing proposed in the last decade, we use the results in order to solve explicitly the Black-Scholes equation with a perturbing term given by a point interaction of the type λ · δ(ln( s/E )), s being the price of the underlying asset and E the exercise price of the option.