Lecture 2 Hamiltonian Operators For Molecules

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Lecture 2 Hamiltonian operators for molecules

www.southampton.ac.uk

Lecture 2 Hamiltonian operators for molecules C.-K. Skylaris CHEM6085: Density Functional Theory CHEM6085 Density Functional Theory. The (time-independent) Schrödinger equation is an eigenvalue equation operator for property A eigenfunction eigenvalue Energy …

Lecture, Operator, Molecules, Hamiltonian, Lecture 2 hamiltonian operators for molecules

An Introduction to Density Functional Theory

www.imperial.ac.uk

2. Avoiding the Solution of the Schrödinger Equation The Hamiltonian operator (Equation 2) consists of single electron and bi-electronic interactions – i.e. operators that involve on the coordinates of one or two electrons only. In order to compute the total energy we do not need to know the 3N dimensional wavefunction.

Introduction, Operator, Theory, Functional, Density, Hamiltonian, An introduction to density functional theory

Lecture 6 Quantum mechanical spin - University of Cambridge

www.tcm.phy.cam.ac.uk

Last lecture, we saw that the electron had a magnetic moment, µ orbit = − e 2me Lˆ, due to orbital degrees of freedom. The intrinsic electron spin imparts an additional contribution, µ spin = γSˆ, where the gyromagnetic ratio, γ = −g e 2m e and g (known as the Land´e g-factor) is very close to 2. These components combine to give the ...

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Lecture 2 Hamiltonian Operators For Molecules