probability interpretation of a finding an object

from the brain of Einstein

from the brain of Planck

from the brain of Schrodinger

wave function

psi

phi

any mathematical function

no physical meaning its just a mathematical function

gives the probability of finding an object in Q.Mech

no physical meaning its just a well behaved mathematical function

physically meaningful and provides position of a particle in Q.Mech

mod squre of wave function

mod square of psi

mod of wave funciton

mod of psi

total prob 1

total prob 1/2

Surface integral of vector normal to a surface is flux of a field

total prob is zero

solving schrodinger's time dep equation

solving schrodinger's time inn-dep equation

solving any second order equaiton

resolving a matrix equation

an energy eigen value equation

eigen value equation of momentum

eigen value equation of K.E

eigen value equation of position

mathematical function

mathematical operators

any operation mathematical or surgical

any logical or mathmatical opearation on wave funciton

we can not make direct measurment

matters are represented by wave function and we have rely on wave function

direct measurement not possible so indirect measurement

direct measurement not possible so mathematical operation on wave function

x

-ih/2pi del/delx

ih/2pi del/delx

x2

x=position

-ih del/delx

ih del/delx

velocity