slater determinant sentence in Hindi
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- The wave functions of both electronic states are expanded with Slater determinants or Configuration state functions ( CSF ).
- Applying this adjustment to the above Slater determinant, one determines the following necessary and sufficient condition for Slater permanency:
- Mathematically, " configuration " simply describes the linear combination of Slater determinants used for the wave function.
- Within the Hartree Fock method of quantum chemistry, the antisymmetric wave function is approximated by a single Slater determinant.
- Slater's name is part of the terms Bohr-Kramers-Slater theory, Slater determinant and Slater orbital.
- This ( so called ) " exchange energy " operator, K, is simply an artifact of the Slater determinant.
- In more accurate theories ( such as configuration interaction and MCSCF ), a linear combination of Slater determinants is needed.
- There remains now to determine the components of this Slater determinant, that is, the individual wavefunctions of the nucleons.
- CSFs rather than just Slater determinants can also be used as a basis in multi-configurational self-consistent field computations.
- There are many sophisticated methods for solving the many-body Schr�dinger equation based on the expansion of the wavefunction in Slater determinants.
- It can be seen that the use of Slater determinants ensures an antisymmetrized function at the outset; other functions are automatically rejected.
- To this end, it is assumed that the total wavefunction ( the Slater determinant ) is such that the energy is minimum.
- This classification allows one to develop a set of Slater determinants for the description of the wavefunction as a linear combination of these determinants.
- Tasks are nucleus : each task difficulty has an order of hierarchical complexity required to complete it correctly, analogous to the atomic Slater determinant.
- The rules are used in deriving the working equations for all methods of approximately solving the Schr�dinger equation that employ wavefunctions constructed from Slater determinants.
- The second step consists in assuming that the wavefunction of the system can be written as a Slater determinant of one-particle spin-orbitals.
- Once you satisfy that condition, ( for instance using a Slater determinant ) then you can have two electrons with opposite spin in the same spatial orbital.
- It is inherently mean-field ( assumes the particles are independent ) and is the unsymmetrized version of the Slater determinant ansatz in the Hartree Fock method.
- It was then shown that a Slater determinant, a determinant of one-particle orbitals first used by Heisenberg and Dirac in 1926, trivially satisfies the exchange.
- The linear combination of Hartree products for the two-particle case can clearly be seen as identical with the Slater determinant for " N " = 2.
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