after the publication of the Schrödinger equation, Hartree formulated what are now known as the Hartree equations for atoms, using the concept of self-consistency...

The Appleton–Hartree equation, sometimes also referred to as the Appleton–Lassen equation, is a mathematical expression that describes the refractive index...

N-coupled equations for the N spin orbitals. A solution of these equations yields the Hartree–Fock wave function and energy of the system. Hartree–Fock approximation...

application to the Hartree–Fock equations of atomic physics and the construction of a differential analyser using Meccano. Douglas Hartree was born in Cambridge...

Hartree is the unit of energy in the system of atomic units. Hartree may also refer to: Appleton–Hartree equation, a mathematical expression that describes...

The Roothaan equations are a representation of the Hartree–Fock equation in a non orthonormal basis set which can be of Gaussian-type or Slater-type....

Schrödinger–Newton equation is a special case of the Hartree equation for n = 2 . The equation retains most of the properties of the linear Schrödinger equation. In...

and SI. Hartree defined units based on three physical constants:: 91  Both in order to eliminate various universal constants from the equations and also...

Schrödinger equation. Interaction between particles in a real gas is taken into account by a pertinent many-body Schrödinger equation. In the Hartree–Fock approximation...

computational physics, using EDSAC to find solutions of the Appleton–Hartree equation. He won the Gold Medal of the Royal Astronomical Society in 1999. Kenneth...

See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....

Controlled Fusion, 2nd edition (1984). Magnetohydrodynamic waves Appleton-Hartree equation Plasmon Surface plasmon resonance Electron wake Index of wave articles...

Multi-configuration time-dependent Hartree (MCTDH) is a general algorithm to solve the time-dependent Schrödinger equation for multidimensional dynamical...

an expression for the index of refraction ck/ω (squared). Appleton-Hartree equation Gurnett, Donald A. (2017). Introduction to plasma physics : with space...

in-depth discussions. As with restricted Hartree–Fock theory for closed shell molecules, it leads to Roothaan equations written in the form of a generalized...

computational chemistry, post–Hartree–Fock (post-HF) methods are the set of methods developed to improve on the Hartree–Fock (HF), or self-consistent...

A quantum master equation is a generalization of the idea of a master equation. Rather than just a system of differential equations for a set of probabilities...

is the usual starting point when building the Slater determinant in the Hartree–Fock method. If there are N {\displaystyle N} electrons filling the N {\displaystyle...

Unrestricted Hartree–Fock (UHF) theory is the most common molecular orbital method for open shell molecules where the number of electrons of each spin...

This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...

Configuration interaction (CI) is a post-Hartree–Fock linear variational method for solving the nonrelativistic Schrödinger equation within the Born–Oppenheimer approximation...

method. This approach is the conceptual basis of the Hartree–Fock method and further post-Hartree–Fock methods. The Thomas–Fermi model was developed independently...

The Kohn-Sham equations are a set of mathematical equations used in quantum mechanics to simplify the complex problem of understanding how electrons behave...

College, Cambridge Known for Discovery of the ionosphere Appleton–Hartree equation Awards FRS (1927) Hughes Medal (1933) Faraday Medal (1946) Nobel Prize...

Hartree–Fock energy plus second-order MP correction: E ≈ EHF + EMP2. The solution of the zeroth-order MP equation (which by definition is the Hartree–Fock...

Legendre polynomials are the canonical solutions of the general Legendre equation ( 1 − x 2 ) d 2 d x 2 P ℓ m ( x ) − 2 x d d x P ℓ m ( x ) + [ ℓ ( ℓ + 1...

ionosphere is a complicated non-linear phenomenon governed by the Appleton–Hartree equation. In 1983, a steerable-beam HF radar with 16 log-periodic antennas began...

determined, and the Hartree–Fock equations become standard Schrödinger equations. The corresponding Hamiltonian is then called the Hartree–Fock Hamiltonian...

of many simpler electron functions with the dominant function being the Hartree-Fock function. Each of these simple functions are then approximated using...

solution to the Schrödinger equation for the lithium atom has not been found. However, various approximations, such as the Hartree–Fock method, can be used...