Deepanshu posted an Question
June 07, 2020 • 21:50 pm 30 points
  • IIT JAM
  • Physics (PH)

The operators a and b share all the eigenstates. then the least possible value of the product of uncertainties ∆a∆b is

The operators A and B share all the eigenstates. Then the least possible value of the product of uncertainties ∆A∆B is. What does sharing of eigenstates mean?

1 Answer(s) Answer Now
  • 0 Likes
  • 6 Comments
  • 0 Shares
  • comment-profile-img>
    Chandra prakash

    uncertainty principle :- for any pair of observable whose corresponding operator do not commute. we call them incompatible observables. Evidently, incompatible observables do not have shared eigenvectors.

    cropped1478510492.jpg
    cropped-711236096.jpg
  • comment-profile-img>
    Dhairya sharma

    dear from quantum mechanics you must remember one thing that if twi operator shares Eigen states it means they have simultaneous Eigen state. or they will commute. if they will commute [A,B] will be zero

    eduncle-logo-app

    Yes mam I knew about commutator brackets but was not aware of sharing of eigenstates thing. thankyou

    eduncle-logo-app

    plz understand this fact..... it's very important in quantum

    eduncle-logo-app

    you're welcone dear. happy to help u

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers