On the error of approximations in quatum mechanics II. Some particular applications
- 18 March 1965
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 257 (1081) , 327-349
- https://doi.org/10.1098/rsta.1965.0008
Abstract
In the preceding paper (Hoffmann 1965) the author has developed the general basis of the estimation of the error in a quantum -mechanical calculation. The method based on the properties of the common trace-forming procedure in matrix calculus allowed the determination of the next approximating steps in a steepest descent process. The present paper supplies the results of applying the method to some cases usually applied in quantum -mechanical and quantum -chemical calculations.Keywords
This publication has 10 references indexed in Scilit:
- On the error of approximations in quantum mechanics. I. General theoryPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1965
- A Molecular Orbital Study of Ionization Potentials of Organic Compounds Utilizing the ι-Technique1Journal of the American Chemical Society, 1960
- Some Recent Advances in Density Matrix TheoryReviews of Modern Physics, 1960
- A Semi-Empirical Theory of the Electronic Spectra and Electronic Structure of Complex Unsaturated Molecules. I.The Journal of Chemical Physics, 1953
- Electron interaction in unsaturated hydrocarbonsTransactions of the Faraday Society, 1953
- New Developments in Molecular Orbital TheoryReviews of Modern Physics, 1951
- The Dipole Moments of Fulvene and AzuleneThe Journal of Chemical Physics, 1949
- Hyperconjugation*Journal of the American Chemical Society, 1941
- The Theory of Complex SpectraPhysical Review B, 1929
- The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and MethodsMathematical Proceedings of the Cambridge Philosophical Society, 1928