Starting from a Born-Oppenheimer decomposition of the Wheeler-DeWitt equation for quantum cosmology matter-gravity system, we have performed Wigner-Weyl transformation and obtained equations involving Wigner function scale factor its conjugate momentum. This has allowed us to study in more detail than previously approach classical limit gravitation way time emerges such limit. To lowest order r...

An extension is given for the standard two component model of adiabatic, Born-Oppenheimer (BO) electronic states in a polyatonic molecule, by use of Mathieu functions of arbitrary order. The curl or compatibility conditions for the construction of a diabatic set of states based on a finitedimensional subset of BO states are not satisfied exactly. It is shown, however, that, by successively addi...

Factors influencing the rate of reverse intersystem crossing (krISC ) in thermally activated delayed fluorescence (TADF) emitters are critical for improving the efficiency and performance of third-generation heavy-metal-free organic light-emitting diodes (OLEDs). However, present understanding of the TADF mechanism does not extend far beyond a thermal equilibrium between the lowest singlet and ...

In 1967, we operated on a patient for cervical cord compression caused by an unusual type of ectopic bone formation in the spinal canal which we tentatively identified as ossification within the posterior longitudinal ligament. Until that time we had believed that calcification of the vertebral ligaments is a phenomenon secondary to spondylosis (Oppenheimer, 1942) and does not cause symptoms by...

We propose an alternative to the usual time–independent Born–Oppenheimer approximation that is specifically designed to describe molecules with non–symmetrical hydrogen bonds. In our approach, the masses of the hydrogen nuclei are scaled differently from those of the heavier nuclei, and we employ a specialized form for the electron energy level surface. As a result, the different vibrational mo...

For a variety of superconducting qubits, tunable interactions are achieved through mutual inductive coupling to a coupler circuit containing a nonlinear Josephson element. In this paper, we derive the general interaction mediated by such a circuit under the Born-Oppenheimer approximation. This interaction naturally decomposes into a classical part, with origin in the classical circuit equations...