On a new relation between solutions of the heat equation and Schrodinger equation

We consider a formula derived in 2014, which allows one to express the semigroup with generator -iH through the semigroup with generator -H, where H is a selfadjoint operator in the right-hand side of heat equation and Schrodinger equation. Such a formula is proven within the framework of semigroups and, therefore, is applicable for a wide class of operators and configuration spaces.

References

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