Zur Methode der Strahlungskapazit�t von H. Weyl

Müller, Claus

doi:10.1007/bf01215039

Cited by 42 publications

(31 citation statements)

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“…Therefore, several methods have been developed for the computation of size-extensivity corrections to MRCI. [27] The simplest one is the Davidson correction.…”

Section: Calculation Detailsmentioning

confidence: 99%

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Spectroscopic parameter and molecular constant investigations for low‐lying electronic states of P ion

Wang

Feng

Sun

2012

Int J of Quantum Chemistry

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The potential energy curves (PECs) of three low‐lying electronic states of P 2+ ion, X2Πu, A2Σ g+, and B2Σ u+, have been studied using the full valence complete active space self‐consistent field method followed by the highly accurate valence internally contracted multireference configuration interaction (MRCI) approach and MRCI with Davidson correction (+Q). The correlation‐consistent basis sets, aug‐cc‐pV5Z and aug‐cc‐pV6Z, are used and the total energies are extrapolated to the complete basis set limit. Using these PECs obtained with the MRCI+Q/56‐extrapolation, the spectroscopic parameters for these electronic states are determined and compared in detail with experimental data and those of previous studies reported in the literature. The comparison shows that excellent agreement exists between the present results and the available experiments. The first 40 vibrational states for the three electronic states are also computed when the rotational quantum number J equals zero. For each vibrational state, the vibrational level G(υ), inertial rotation constant Bυ, and centrifugal distortion constant Dυ are determined when J = 0, which are in good accord with the available measurements. © 2012 Wiley Periodicals, Inc.

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“…Therefore, several methods have been developed for the computation of size-extensivity corrections to MRCI. [27] The simplest one is the Davidson correction.…”

Section: Calculation Detailsmentioning

confidence: 99%

“…To obtain total energies extrapolated, the reference energy has to be considered as well. According to the suggestions given by Mü ller et al, [27] the same exponent for reference and electron-correlation energy are used in this work and the total energy is extrapolated according to eq. (1).…”

Section: Calculation Detailsmentioning

confidence: 99%

Spectroscopic parameter and molecular constant investigations for low‐lying electronic states of P ion

Wang

Feng

Sun

2012

Int J of Quantum Chemistry

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“…J/iger [4][5][6], Kupradse [7], Leis [8][9][10][11][12][13][14], Meister [15], Miiller [17], Niemeyer [18], Rellich [19], Vogelsang [20,21], Werner [22][23][24][25].…”

Section: {Utuee~~l)/2(g) Du+ K2uee~o+~(a) Lim Ixl N-1 Lur(x)--iku(x)unclassified

Zur Absch�tzung der L�sung des Dirichletschen Au�enraumproblems f�r die Schwingungsgleichung

König¹

1978

Math Z

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“…The Dirichlet problem of the two-dimensional Helmholtz equation is a mathematical model of scattering of E wave. Weyl [1] and Müller [2] assumed a solution of the Dirichlet exterior problem of the Helmholtz equation for a closed boundary to be a "double layer potential" with an unknown density distributed over the boundary, and reduced the problem to that of solving for an integral equation of Fredholm of the second kind with respect to the density, and thus established a general theory for a closed boundary. The merit of their method was that they could reduce the problem to that of an integral equation of the second kind whose analysis has been well studied.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic theory based on integral representation of fields and analysis of scattering by open boundary - Summary

Hayashi¹

1996

Journal of Electromagnetic Waves and Applications

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Satisfies the Radiation Conditions (14) 6.10 Discussion on Various Integral Equation Approaches to Solve Boundary Value Problems for Closed and Open Boundaries 6.11 Theorems on and Related to the Uniqueness of Fields 6.12 Proof. If (15) is Prescribed, I(P ; C(ρ)) Vanishes When ρ → 0 6.13 Proof. If (16) is Prescribed,Ĩ(P ; S(ρ);J,J *) Vanishes When ρ → 0 6.14 Integral Representation Formulas and Continuity Relations between Surface Electric Current Density and Surface Electric Charge Density 6.15 A "Simple Layer Potential" Satisfies Radiation Condition and Edge Condition 6.16 Proof of the Theorem in Section 5.3 Which Asserts That U is Dense in L 2 (L) Electromagnetic theory 3 6.17 Proof of the Theorem in Section 5.5 Which Asserts ThatŨ is Dense inL 2 (S) 6.18 Theorems and Explanation of Mathematical Terminology References

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Zur Methode der Strahlungskapazit�t von H. Weyl

Cited by 42 publications

References 1 publication

Spectroscopic parameter and molecular constant investigations for low‐lying electronic states of P ion

Spectroscopic parameter and molecular constant investigations for low‐lying electronic states of P ion

Zur Absch�tzung der L�sung des Dirichletschen Au�enraumproblems f�r die Schwingungsgleichung

Electromagnetic theory based on integral representation of fields and analysis of scattering by open boundary - Summary

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