If I ask a question ‘ how we can treat a particle at rest in quantum mechanics?’
What would be the answer .. u all knw ..
momentum of particle is zero . is it?
That’s great .
What ll be its consequence ?
Heisenberg uncertainty principle tells that
(uncertainty in momentum . uncertainty in position) =h/4.pi
and if momentum is going to zero then uncertainty in position .. onnoo ‘ infinite ‘. 🙂
yes .. we know that particle is at rest , but don’t know where it is .
how amazing !!!
wooow .. how long the word is!!! no??
ya .. This word is purely quantum mechanical .This word is never discussed in classical mechanics . Why ?
yeah !!! no two objects in macroscopic world is purely identical . You can label them.
one more thing happens in classical mechanics that is the concept of trajectory . you can track the path of any classical particle , if you know its initial position , u may say after so much of time it will be at that position .
what about quantum mechanics .. correct .. there is no defined path or trajectory of any particle . one thing is that ‘what will be the probability to find the particle at any point’.
So , here comes the indistinguishable or identical particle . Every theory in quantum mechanics respects the indistinguishability .
If u see any two identical particle at their positions , after some time they move to different positions .u ll not able to say which particle is at which position because yes of course .. u r right .. they don’t have defined path .. just probability ..
What abt its state and Pauli’s Exclusion Principle ??