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What is the difference between symmetric and antisymmetric wave functions?

Symmetric wave functions remain unchanged when particles are exchanged, while antisymmetric wave functions change sign when particles are exchanged.


Can symmetric relations can also be antisymmetric relations?

Yes they can be, the two definitions are not related.


Is the total wave function of identical fermions is antisymmetric?

Yes, identical fermions have antisymmetric wavefunctions. Identical bosons have symmetric -- look up Spin Statistics in any Standard Field Theory text.


What is ground state wave function of lithium for identical electron?

For lithium with identical electrons, the ground state wave function is a symmetric combination of the individual electron wave functions. This means that the overall wave function is symmetric under exchange of the two identical electrons. This symmetric combination arises from the requirement that the total wave function must be antisymmetric due to the Pauli exclusion principle.


What is a skew-symmetric function?

A skew-symmetric function, also known as an antisymmetric function, is a function ( f ) that satisfies the property ( f(x, y) = -f(y, x) ) for all ( x ) and ( y ) in its domain. This means that swapping the inputs results in the negation of the function's value. Skew-symmetric functions are often encountered in fields like linear algebra and physics, particularly in the context of determinants and cross products. An example is the function ( f(x, y) = x - y ).


What is an antisymmetry?

An antisymmetry is the mathematical condition of being antisymmetric.


Is the divides relation on the set of positive integers antisymmetric?

No it is not.


What is an antisymmetrizer?

An antisymmetrization is an act of making something antisymmetric.


What is a bivector?

A bivector is a mathematical term for an antisymmetric tensor of second rank.


How are the graphs of inverse functions symmetric?

symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0


Is a flower a symmetric?

Yes a flower is symmetric.


Is DES symmetric or asymmetric cryptography?

Symmetric