What is a symmetric wave function?

What is a symmetric wave function?

In quantum mechanics: Identical particles and multielectron atoms. …of Ψ remains unchanged, the wave function is said to be symmetric with respect to interchange; if the sign changes, the function is antisymmetric.

For which type of particles the symmetric wave function is applicable?

Hence the wave function of a system of two identical particles must be either symmetric or antisymmetric under the exchange of the two particles. Systems of identical particles with integer spin (s = 0,1,2,…), known as bosons, have wave functions which are symmetric under interchange of any pair of particle labels.

What are symmetric and antisymmetric wave functions for a system of two identical particles?

The wave function has a spatial part and a spin part. The overall wave function for two fermions must be antisymmetric. If the spatial part is symmetric and the spin part is antisymmetric, you have total spin 0. If the spatial part is antisymmetric and the spin part is symmetric, you have total spin 1.

What is antisymmetric principle?

All particles with half-integral spin (fermions) are described by antisymmetric wavefunctions, and all particles with zero or integral spin (bosons) are described by symmetric wavefunctions. …

What are the symmetric and antisymmetric wave functions?

Particles whose wave functions which are anti-symmetric under particle interchange have half-integral intrinsic spin, and are termed fermions. Experiment and quantum theory place electrons in the fermion category.

Do bosons have symmetric wave functions?

Explanation: Bosons are the particles which have symmetric wave function.

What is the principle of indistinguishability?

According to the principle of the indistinguishability of identical particles, if identical particles in a given system of particles are interchanged, the resulting states of the system cannot be distinguished in any experiment and must be regarded as the same physical state.

What is the statement of Aufbau principle?

The Aufbau Principle states that in the ground state of an atom, an electron enters the orbital with lowest energy first and subsequent electrons are fed in the order of increasing energies. The word ‘aufbau’ in German means ‘building up’. Here, it refers to the filling up of orbitals with electrons.

What is Hunds?

Hund’s Rule. Hund’s rule: every orbital in a subshell is singly occupied with one electron before any one orbital is doubly occupied, and all electrons in singly occupied orbitals have the same spin.

What is the difference between symmetric and antisymmetric?

As adjectives the difference between symmetric and antisymmetric. is that symmetric is symmetrical while antisymmetric is (set theory) of a relation ”r” on a set ”s, having the property that for any two distinct elements of ”s”, at least one is not related to the other via ”r .

Why can’t fermions occupy the same state?

Atoms. Electrons, being fermions, cannot occupy the same quantum state as other electrons, so electrons have to “stack” within an atom, i.e. have different spins while at the same electron orbital as described below.