ψ And ψ2 significance

ψ And ψ2 significance

1. Significance of ψ and ψ 2 Dr. Mithil Fal Desai Shree Mallikarjun and Shri Chetan Manju Desai College Canacona Goa ψ ψ 2

2. Ψ and Ψ 2 Ψ (Psi) is a wave function represented in the Schrodinger wave equation, which represents the state of the electron . Its corresponding probability density (Ψ 2 ) gives the probability of finding the electron in a particular region in space.

3. Schrodinger equation    

4. Acceptable solutions to the Schrodinger wave equation must have certain properties Ψ must be continuous Ψ must be finite Ψ must be single valued  

5. Continuous and noncontinuous function Continuous function noncontinuous function θ θ

6. Finite and infinite function A = {0, 1, 2, 3,4, 5} finite set A = {0, 1, 2, 3,4, 5,……} infinite set   (∞)  

7. More than one value for the function y x At same value of x, we observe two different value of Y   27

8. Integrating function from a to b Integrating any function gives area under the curve formed by that function   π   π   π   π π   0.314 0.314 0.314 0.314 0.314 0.314 0.314 0.314 0.314 0.314    

9. Function and function square sin( θ) or [ sin( θ) ] 2 θ

10. End note Several wave function satisfy these properties and each of these have corresponding energies. These wave functions are called orbitals . In hydrogen atom the wave function which has lowest energy level(E 1 ) is 𝝍 1 . There are number of acceptable solutions of the wave function and each orbital is described by set of three quantum numbers n, l and m.