One method developed to approximate this entity is inversion of the Roothan equation, a method that is itself an generalization of a technique to approximate this mathematical entity in which an N-linear function of N of these entities evaluated at N different sets of coordinates is minimized via a variational principle. The second aforementioned technique uses Slater determinants and is known as the self-consistent field method or Hartree-Fock method. More generally, this mathematical object can often be understood as an eigenvector of a Hamiltonian operator or as a superposition thereof. For 10 points, name this mathematical object central to quantum mechanics, the dependent variable in the Schr?dinger equation whose square modulus gives the probability density for finding particles.
One method developed to approximate this entity is inversion of the Roothan equation, a method that is itself an generalization of a technique to approximate this mathematical entity in which an N-linear function of N of these entities evaluated at N different sets of coordinates is minimized via a variational principle. The second aforementioned technique uses Slater determinants and is known as the self-consistent field method or Hartree-Fock method. More generally, this mathematical object can often be understood as an eigenvector of a Hamiltonian operator or as a superposition thereof. For 10 points, name this mathematical object central to quantum mechanics, the dependent variable in the Schr?dinger equation whose square modulus gives the probability density for finding particles.
One method developed to approximate this entity is inversion of the Roothan equation, a method that is itself an generalization of a technique to approximate this mathematical entity in which an N-linear function of N of these entities evaluated at N different sets of coordinates is minimized via a variational principle.
the wavefunction [or state function; prompt on psi; grudgingly accept energy until "these entities"]