Topic
Wave function
About: Wave function is a research topic. Over the lifetime, 27771 publications have been published within this topic receiving 688439 citations. The topic is also known as: Quantum wave function & wavefunction.
Papers published on a yearly basis
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Papers
Book•
1 Jan 1980
TL;DR: In this paper, the Hartree-Fock method pairing correlations and superfluid nuclei was used to restore broken symmetries in the generator coordinate method of the generator-coordinate method.
Abstract: The liquid drop model the shell model rotation and single-particle motion nuclear forces the Hartree-Fock method pairing correlations and superfluid nuclei the generalized single-particle model (HFB theory) harmonic vibrations boson expansion methods the generator coordinate method restoration of broken symmetries the time dependent Hartree-Fock method (TDHF) semiclassical methods in nuclear physics. Appendices: angular momentum algebra in the laboratory and the body-fixed system electromagnetic moments and transitions second quantization density matrices theorems concerning product wave functions many-body green's functions.
5,861 citations
TL;DR: In this article, the authors presented variational ground-state and excited-state wave functions which describe the condensation of a two-dimensional electron gas into a new state of matter.
Abstract: This Letter presents variational ground-state and excited-state wave functions which describe the condensation of a two-dimensional electron gas into a new state of matter.
5,601 citations
Book•
23 Oct 1990
TL;DR: In this article, the three-body problem: Moon-Earth-Sun, Three Methods of Section, Periodic Orbits, and Surface of Solution is considered, as well as the Diamagnetic Kepler Problem.
Abstract: Contents: Introduction- The Mechanics of Lagrange- The Mechanics of Hamilton and Jacobi- Integrable Systems- The Three-Body Problem: Moon-Earth-Sun- Three Methods of Section- Periodic Orbits- The Surface of Solution- Models of the Galaxy and of Small Molecules- Soft Chaos and the KAM Theorem- Entropy and Other Measures of Chaos- The Anisotropic Kepler Problem- The Transition From Classical to Quantum Mechanics- The New World of Quantum Mechanics- The Quantization of Integrable Systems- Wave Functions in Classically Chaotic Systems- The Energy Spectrum of a Classically Chaotic System- The Trace Formula- The Diamagnetic Kepler Problem- Motion on a Surface of Constant Negative Curvature- Scattering Problems, Coding and Multifractal Invariant Measures- References- Index
4,566 citations
TL;DR: In this article, the Hartree-Fock equations can be regarded as ordinary Schrodinger equations for the motion of electrons, each electron moving in a slightly different potential field, which is computed by electrostatics from all the charges of the system, positive and negative, corrected by the removal of an exchange charge, equal in magnitude to one electron, surrounding the electron whose motion is being investigated.
Abstract: It is shown that the Hartree-Fock equations can be regarded as ordinary Schr\"odinger equations for the motion of electrons, each electron moving in a slightly different potential field, which is computed by electrostatics from all the charges of the system, positive and negative, corrected by the removal of an exchange charge, equal in magnitude to one electron, surrounding the electron whose motion is being investigated By forming a weighted mean of the exchange charges, weighted and averaged over the various electronic wave functions at a given point of space, we set up an average potential field in which we can consider all of the electrons to move, thus leading to a great simplification of the Hartree-Fock method, and bringing it into agreement with the usual band picture of solids, in which all electron are assumed to move in the same field We can further replace the average exchange charge by the corresponding value which we should have in a free-electron gas whose local density is equal to the density of actual charge at the position in question; this results in a very simple expression for the average potential field, which still behaves qualitatively like that of the Hartree-Fock method This simplified field is being applied to problems in atomic structure, with satisfactory results, and is adapted as well to problems of molecules and solids
4,410 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2026 | 5 |
| 2025 | 312 |
| 2024 | 328 |
| 2023 | 1,028 |
| 2022 | 2,940 |
| 2021 | 884 |