Transoral-transpharyngeal CO laser en bloc excision of voluminous left recurrent laryngeal nerve schwannoma: Case report and review of the literature.

Recurrent nerve laryngeal schwannoma is a rare benign tumor that, in expert hands, can be treated by transoral CO laser surgery.

[The application of the modern technologies for the treatment of precancerous diseases of the larynx].

This article deals with the endolaryngeal methods for the surgical treatment of pre-cancerous diseases of the larynx with the use of up-to-date technologies and anesthetic support. The authors describe the original methods for endolaryngeal interventions based on the use of the CO-laser. In addition, the results of the analysis of the data obtained during the immediate and delayed postoperative periods are presented.

Analytical evaluation of Coulomb potential generated by multielectron molecule at arbitrary positions in space using one-range addition theorems of Slater type orbitals.

By the use of unsymmetrical one-range addition theorems for Slater type orbitals (STO) and Coulomb potential introduced by the author, the analytical formulae in terms of two- and three-center nuclear attraction integrals, and linear combination coefficients of molecular orbitals are derived for the potential produced by the charges of molecule. These formulae can be useful for the study of interaction between atomic-molecular systems containing any number of closed and open shells when the STO are used in the combined Hartree-Fock-Roothaan (HFR) theory suggested by the author. It should be noted that the symmetry of the potential obtained is the same as the symmetry of the molecule.

Calculation of multicenter electric field gradient integrals over Slater-type orbitals using unsymmetrical one-range addition theorems.

The electric field induced within a molecule by its electrons determines a whole series of important physical properties of the molecule. In particular, the values of the gradient of this field at the nuclei determine the interaction of their quadrupole moments with the electrons. Using unsymmetrical one-range addition theorems introduced by one of the authors, the sets of series expansion relations for multicenter electric field gradient integrals over Slater-type orbitals in terms of multicenter charge density expansion coefficients and two-center basic integrals are presented.

Evaluation of two-center Coulomb and hybrid integrals over complete orthonormal sets of Ψα-ETO using auxiliary functions.

By the use of ellipsoidal coordinates, the two-center Coulomb and hybrid integrals over complete orthonormal sets of Ψα-ETO exponential type orbitals arising in ab initio calculations of molecules are evaluated, where α = 1,0, -1, -2, ...

New complete orthonormal sets of hyperspherical harmonics and their one-range addition and expansion theorems.

In this study, the complete orthonormal sets of phi(alpha)-momentum space orbitals (where alpha = 1, 0, -1, -2, ...

Addition theorems for Slater-type orbitals in momentum space and their application to three-center overlap integrals.

Using addition theorems for complete orthonormal sets of exponential type orbitals in the momentum representation introduced by the author, the addition theorems are established for Slater type orbitals in momentum space. With the help of these addition theorems, the general series expansion formulae in terms of the product of two-center overlap integrals are established for the three-center overlap integrals that arise in the solution of atomic and molecular problems occurring when explicitly correlated methods are employed. The formulae obtained for addition theorems and three-center overlap integrals are valid for arbitrary location and parameters of orbitals.

Unified treatment of multicenter integrals of integer and noninteger u Yukawa-type screened Coulomb type potentials and their derivatives over Slater orbitals.

Multicenter integrals with integer and noninteger values of indices u of Yukawa-type screened Coulomb-type potentials (SCTPs) f(u)(eta,r)=r(u-1)e(-etar) and their derivatives over Slater-type orbitals (STOs) are evaluated using series expansion formulas obtained from the expansions in terms of complete orthonormal sets of Psi(alpha)-exponential-type orbitals (Psi(alpha)-ETOs, alpha=1, 0, -1, -2,...

Evaluation of multicenter one-electron integrals of noninteger u screened Coulomb type potentials and their derivatives over noninteger n Slater orbitals.

Multicenter integrals over noninteger n Slater type orbitals with integer and noninteger values of indices u of screened Coulomb type potentials, f(u)(eta,r)=r(u-1)e(-etar), and their first and second derivatives with respect to Cartesian coordinates of the nuclei of a molecule are described. Using complete orthonormal sets of Psi(alpha) exponential type orbitals and rotation transformation of two-center overlap integrals, these integrals are expressed through the noncentral potential functions depending on the molecular auxiliary functions A(k) and B(k). The series expansion formulas derived for molecular integrals of screened Coulomb potentials and their derivatives are especially useful for the computation of multicenter electronic attraction, electric field, and electric field gradient integrals.

Calculation of generalized secant integral using binomial coefficients.

A single series expansion relation is derived for the generalized secant (GS) integral in terms of binomial coefficients, exponential integrals and incomplete gamma functions. The convergence of the series is tested by the concrete cases of parameters. The formulas given in this study for the evaluation of GS integral show good rate of convergence and numerical stability.

One-range addition theorems for derivatives of Slater-type orbitals.

Using addition theorems for STOs introduced by the author with the help of complete orthonormal sets of psi(alpha)-ETOs (Guseinov II (2003) J Mol Model 9:190-194), where alpha=1, 0, -1, -2, ...

Use of psi(alpha)-ETOs in the unified treatment of electronic attraction, electric field and electric field gradient multicenter integrals of screened Coulomb potentials over Slater orbitals.

In this study, using complete orthonormal sets of Psi(alpha)-ETOs (where alpha=1, 0, -1, -2, ...

Computation of multicenter overlap integrals with Slater-type orbitals using psi(alpha)-ETOs.

Multicenter overlap integrals appearing in the evaluation of multicenter-multielectron integrals of central and noncentral interaction potentials are calculated using complete orthonormal sets of psi(alpha)-ETOs (alpha=1, 0, -1, -2,...

Addition theorems for Slater-type orbitals and their application to multicenter multielectron integrals of central and noncentral interaction potentials.

By the use of complete orthonormal sets of psi(alpha)-ETOs (alpha=1, 0, m1, m2,...

Addition and expansion theorems for complete orthonormal sets of exponential-type orbitals in coordinate and momentum representations.

Analytical properties of new complete orthonormal sets of Psi(alpha) exponential-type orbitals (Psi(alpha)-ETOs where alpha=1, 0, -1, -2, em leader ), introduced by the author as finite linear combinations of Slater-type orbitals (STOs), are studied. Addition and expansion theorems for Psi(alpha)-ETOs are obtained in both coordinate and momentum representations. Using expressions of Psi(alpha)-ETOs in terms of STOs, the new methods are suggested to calculate multicenter multielectron integrals over STOs.

Evaluation of overlap integrals with integer and noninteger n Slater-type orbitals using auxiliary functions.

The series expansion formulae are derived for the overlap integrals with arbitrary integer n and noninteger n* Slater-type orbitals (ISTOs and NISTOs) in terms of a product of well-known auxiliary functions A(sigma) and B (k). The series becomes an ordinary closed expression when both principal quantum numbers n* and n'* of orbitals are integer n*= n and n'*= n'. These formulae are especially useful for the calculation of overlap integrals for large quantum numbers.

Calculation of molecular integrals over Slater-type orbitals using recurrence relations for overlap integrals and basic one-center Coulomb integrals.

The recurrence relations are established for the basic one-center Coulomb integrals over Slater-type orbitals (STOs). These formulae and the recurrence relations for basic overlap integrals are utilized for the calculation of multicenter electron-repulsion integrals. The calculations of multicenter electron-repulsion integrals are performed by the use of translation formulae for STOs obtained from the Lambda and Coulomb Sturmian exponential-type functions (ETFs).

[Protracted hypochondriacal reactions (based on the type of hypochondriacal development) in myocardial infarct patients].

Clinical follow-up, MPT, clinical and instrumental cardiological evidence is available for 30 postmyocardial infarction patients. They exhibited hypochondriac reactions which persisted for more than 6 months. Three types of such reactions were recognized: somatization (I), cenesthetic (II), overvalued (III).