Sentence examples for under interchange from inspiring English sources

H is symmetric under interchange of the two electrons in space alone, so its eigenfunctions can be chosen to be either symmetric or antisymmetric under spatial interchange.

To get a state totally antisymmetric under interchange of space and spin, each spatially symmetric wave function is multiplied by a spin 0 state (multiplicity 1) and each spatially antisymmetric state is multiplied by a spin 1 state (multiplicity 3).

Kato ignored both spin (the Hamiltonian is spin-independent but each electron has two spin states, so on (L^2({mathbb {R}}^{3N};{mathbb {C}}^2otimes {mathbb {C}}^2,d^{3N}x)) there are 4 times as many states) and statistics (the Pauli principle, which, as interpreted by Fermi and Dirac, says the total wave function is antisymmetric under interchange of a pair of particles in both spin and space).

To proceed, we require that the pairwise alignment distribution ν be symmetric under interchange of the two sequences in the pair.

Note that the rate a k, k ' itself is symmetric under interchange of the labels k and k', since either of the two nodes may take on the role of being preferentially chosen.

The size of the MATS plan resulted in considerable public opposition; several suburbs were to completely disappear under interchanges, with Hindmarsh to be removed to make way for a multi-entry interchange.

In other words, the force recognizes no difference between protons and neutrons; it is symmetrical under the interchange of protons and neutrons, rather as a square is symmetrical under rotations through 90°, 180°, and so on.

Although there are only two components in a molecule, the side chain number m affects the phase diagram largely due to the fact that the architecture of a comb copolymer is not invariant under the interchange of A- with B-monomers.