Quantum interference in the classically forbidden region: a parametric oscillator

We study tunneling between period two states of a parametrically modulated oscillator. The tunneling matrix element is shown to oscillate with the varying frequency of the modulating field. The effect is due to spatial oscillations of the wave function and the related interference in the classically forbidden region. The oscillations emerge already in the ground state of the oscillator Hamiltonian in the rotating frame, which is quartic in the momentum.Comment: Submitted to PR

Formalized conceptual rule to interpret crisis state of organizational and economic separation for micro-level and meso-level

The relevance of the transformation of anti-crisis management of departments, enterprises and corporate groups in the direction of its intellectualization due to the relevance of external and internal perturbing factors, threats and unfavorability is stated in a reasoned manner. The necessity of a broad interpretation of the crisis state of organizational and economic separation is proved. The objective need for meaningful interpretation and formalized representation of the crisis state of organizational and economic separation in the implementation of all typical management functions – is shown. The applicability of the known development potential is estimated. The components of the rule of recognition of the state of separation as a crisis in the financial and economic aspect is determined in a meaningful and variant way. Versions of the rule of recognition of the state of separation as crisis in relation to the micro-level and meso-level are considered