Rayleigh-Schrodinger theory

The SAPT method was mainly developed by workers in the Warsaw quantum chemistry group. Jeziorski and his former supervisor Kolos [47,138], believing in the prospects of SAPT, continued and extended the work of Refs. [37,40-46,48] later Szalewicz [139] joined forces in this development. These workers came to the conclusion that symmetrized Rayleigh-Schrodinger theory (weak symmetry forcing—see above) was the most viable of the different variants of SAPT. 

The first-order wavefunction in p-MCPT as obtained by bi-orthogonal Rayleigh-Schrodinger theory looks... 

It is impossible to derive formulae for n and A of (2) which are entirely analogous to the formulae of the Rayleigh-Schrodinger theory, except that in all scalar products N occurs before the comma, instead of n. This will not be done here as we can restrict ourselves to the first approximation. We find that... 

The Hylleraas functional is easily related to the variational Lagrangian (14.1.53) of Rayleigh-Schrodinger theory. We recall that the RSPT Lagrangian C ) is symmetric with respect... 

An essential thing to stress concerning the above development of so-called Rayleigh-Schrodinger perturbation theory (RSPT) is that each of the energy corrections... 

Rayleigh-Schrodinger many-body perturbation theory — RSPT). In this approach, the total Hamiltonian of the system is divided or partitioned into two parts a zeroth-order part, Hq (which has... 

Wigner, E. P., Phys. Rev. 94, 77, "Application of the Rayleigh-Schrodinger perturbation theory to the hydrogen atom." The whole electrostatic potential is considered as a perturbation. 

The Rayleigh-Schrodinger Perturbation Theory (see [2]) leads then to the following system of linear equations for the determination of cj (j=l,. ..M) ... 

The mathematical procedure that we present here for solving equation (9.15) is known as Rayleigh-Schrodinger perturbation theory. There are other procedures, but they are seldom used. In the Rayleigh-Schrodinger method, the eigenfunctions tpn and the eigenvalues E are expanded as power series in A... 

E. Schrodinger, Ann. Phys. 80 (1926), 437. The quantal formalism substantially follows the classical method developed by Lord Rayleigh (Theory of Sound [1894]) and is commonly referred to as Rayleigh-Schrodinger perturbation theory. ... 

Note that the choice of non-orthogonal versus orthogonal basis functions has no consequence for the numerical variational solutions (cf. Coulson s treatment of He2, note 76), but it undermines the possibility of physical interpretation in perturbative terms. While a proper Rayleigh-Schrodinger perturbative treatment of the He- He interaction can be envisioned, it would not simply truncate at second order as assumed in the PMO analysis of Fig. 3.58. Note also that alternative perturbation-theory formulations that make no reference to an... 

From this starting point, London employed standard techniques of Rayleigh-Schrodinger perturbation theory to evaluate the leading effects of the intermolecular... 

A Rayleigh-Schrodinger-type perturbation theory has recently been developed by Angyan [107], The consideration of external perturbations, like electric fields, permits the calculation of response functions for solvated species. 

Angyan, J. G. Rayleigh-Schrodinger perturbation theory of non-linear Schrodinger equations with linear perturbation, IntJ.Quantum Chem., 47 (1993), 469-483... 

The adiabatic corrections to the ground state of H2, HD, and Di we shall calculate using second-order Rayleigh-Schrodinger many-body perturbation theory (RS-... 

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