The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This has been recently challenged by observation an early-time exponential increase out-of-time-ordered correlator (OTOC) classically nonchaotic systems [E. B. Rozenbaum et al., Phys. Rev. Lett. 125, 014101 (2020)]. Here, we show that restored after proper treatment singular points. Furthermore, our r...

The problem of consistent formulation of the correspondence principle in quantum gravity is considered. The usual approach based on the use of the two-particle scattering amplitudes is shown to be in disagreement with the classical result of General Relativity given by the Schwarzschild solution. It is shown also that this approach fails to describe whatever non-Newtonian interactions of macros...

Abstract It is known that irreducible cuspidal characters satisfy the preservation principle in Howe correspondences of finite reductive dual pairs. In this article, we generalize to any classical groups.