Vibration-rotation and pure rotational data in the X2Σ+ ground state and electronic data from the A2Π – X2Σ+ and B2Σ+ − X2Σ+ transitions of CaH and CaD were used in the quantum-mechanical direct-potential-fit (DPF) analysis to determine an analytic potential energy function for the X2Σ+ ground state of CaH, and a radial correction function for the CaD isotopologue. The potential energy function...

The spectrum of the perturbed polyharmonic operator H = (−∆)l + V in L(Rd) with a limit-periodic potential V is studied. It is shown that if V is periodic in one direction in Rd and 8l > d+3, d = 1(mod4), then the spectrum of H contains a semiaxis. The proof is based on the properties of periodic operators. §

We survey various origins and expressions for the quantum potential, expanding and extending the treatment given in a previous paper [35].

We show that given an essentially arbitrary Q(x, t, ~) there are “generalized” quantum theories having Q as their quantum potential.

A recently introduced effective quantum potential theory is studied in a low momentum region of phase space. This low momentum approximation is used to show that the new effective quantum potential induces a space-dependent mass and a smoothed potential both of them constructed from the classical potential. The exact solution of the approximated theory in one spatial dimension is found. The con...

We formulate according to the quantum mechanical uncertainty relation a new uncertainty relation ∆ ˘ A · ∆l ∼ ¯ h e where ˘ A and ∆l ≥ l B are the electromagnetic pure gauge potential, the position uncertainty and the magnetic length, respectively. Then, we show that the observed potential drops on the edge of QHE samples are varifications of this uncertainty relation, where the quantum potenti...

in this paper we have solved analytically the schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...

in the recent work, the reaction mechanism between triphenylphosphine 1, dialkyl acetylenedicarboxylates 2 in the presence of nh-acid, such as 5-aminoindazole 3 were investigated theoretically. quantum mechanical studies were performed for evaluation of potential energy surfaces of all structures participated in the reaction mechanism both in gas phase and in dichloromethane. the first step of ...

In the recent work, the reaction mechanism between triphenylphosphine 1, dialkyl acetylenedicarboxylates 2 in the presence of NH-acid, such as 5-aminoindazole 3 were investigated theoretically. Quantum mechanical studies were performed for evaluation of potential energy surfaces of all structures participated in the reaction mechanism both in gas phase and in dichloromethane. The first step of ...