-
indistinguishable particles are
affected by the
antisymmetrizer. In the
special case that the wave
function to be
antisymmetrized is a
product of spin-orbitals Ψ (...
-
Slater determinant for N = 2. The use of
Slater determinants ensures an
antisymmetrized function at the outset. In the same way, the use of
Slater determinants...
-
tensor may be
antisymmetrized or symmetrized, and
there is
according notation. We
demonstrate the
notation by example. Let's
antisymmetrize the type-(0...
- brackets, [ ],
around multiple indices denotes the
antisymmetrized part of the tensor. For p
antisymmetrizing indices – the sum over the
permutations of those...
- a
thick zigzag or wavy bar
crossing the
index lines horizontally.
Antisymmetrization of
indices is
represented by a
thick straight line
crossing the index...
-
Identities (FI) (evocative of the
Jacobi identities, but
unlike them, not
antisymmetrized in all arguments, for N ≥ 2 ): { f 1 , ⋯ , f N − 1 , { g 1 , ⋯...
- Igor A.
Misurkin (2001). "Ionization
potentials within semiempirical antisymmetrized product of
strictly localized geminals approach".
International Journal...
-
identical particles are fermions, the n-particle
states are
vectors in an
antisymmetrized tensor product of n single-particle
Hilbert spaces H (see symmetric...
- a
symmetric function in n {\displaystyle n} variables. Similarly,
antisymmetrization converts any
function in n {\displaystyle n}
variables into an antisymmetric...
- in use. More generally,
irrespective of the
number of dimensions,
antisymmetrization over p {\displaystyle p}
indices may be
expressed as T [ a 1 … a p...