The supersymmetric quantum mechanics theory and Darboux transformation for the Morse oscillator with an approximate rotational term

Anharmonic potentials with a rotational terms are widely used in quantum chemistry of diatomic systems, since they include the influence of centrifugal force on motions of atomic nuclei. For the first time the Taylor-expanded renormalized Morse oscillator is studied within the framework of supersymmetric quantum mechanics theory. The mathematical formalism of supersymmetric quantum mechanics and the Darboux transformation are used to determine the bound states for the Morse anharmonic oscillator with an approximate rotational term. The factorization method has been applied in order to obtain analytical forms of creation and annihilation operators as well as Witten superpotential and isospectral potentials. Moreover, the radial Schrödinger equation with the Darboux potential has been converted into an exactly solvable form of second-order Sturm–Liouville differential equation. To this aim the Darboux transformation has been used. The efficient algebraic approach proposed can be used to solve the Schrödinger equation for other anharmonic exponential potentials with rotational terms.     

Characteristics of the thermal decomposition of antituberculous drugs

The thermal decomposition of antituberculous drugs-ethambutol (base and dihydrochloride), isoniazid, ethionamid and pyrazinamid has been studied by DTA, TG and DTG techniques. General remarks have been made on their thermal destruction. The effect of sample size over the range 20–200 mg and heating rate over the range 3–15 deg·min^?1 on the thermal degradation has also been investigated. Moreover, based on the Kissinger’s equation, the values of the kinetic parameters were determined.     

Dielectric Studies of the Ordering Due to an External DC Electric Field in Nematic 4,4′-di-n-hexyloxyazoxybenzene

Studies of dielectric permittivity changes under the action of a DC electric field on nematic 4,4′-di-n-hexyloxyazoxybenzene (DHAB) have been performed. Observations of time dependent processes occurring during the application of a voltage were made for samples of 0.5–2 mm thickness as a function of the applied voltage. The dielectric permittivity changes which are related to changes in the ordering of the samples were interpreted in dielectric as well as in electrohydrodynamic terms. Three voltage regions were distinguished which are characterised by ordering due to dielectric orientation, hydrodynamic laminar flow and turbulent flow.     

Activation of dimethyl ether with barium and strontium atoms

Organometallic compounds are produced when barium and strontium atoms are cocondensed with dimethyl ether at ?196°C; hydrolysis of the cocondensation products from both reactions yields mainly C₁—C₈ alkanes, alkenes, and alkynes.     

General remarks on the thermal decomposition of some drugs

The thermal decomposition of antituberculous, local anaesthetic and calcium salts of organic acids used as the drugs has been studied by differential thermal and thermogravimetric techniques. General characteristics of their thermal decomposition has been made. The effect of sample size over the range 20–200 mg and heating rate over the range 3–15 deg·min^?1 on the thermal degradation has been investigated. The values of the kinetic parameters has been also determined.     

A new model of a molecule based on the soft body

The basic idea of the deformable or soft-body model of a molecule, which starts from a new definition of the reference configuration, is presented. It is shown that this model introduces into the Hamiltonian a new part that describes deformation energy of a molecule brought about by its rotation. This part leads to nonlinear terms, whose numerical values were compared with the semiempirical approach. © 1994 John Wiley & Sons, Inc.