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Quantum Mechanics-I Mock Papers
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  • Course
  • Quantum Mechanics-I
  • Institution
  • Quantum Mechanics-I
  • Book
  • Principles of Quantum Mechanics

Compilation of semester exam level questions in Quantum Mechanics-I on following topics. FAILURE OF CLASSICAL PHYSICS - blackbody radiation, atomic spectroscopy, photoelectric effect, Compton effect, de Broglie’s hypothesis, Davisson-Germer experiment, double slit experiment. WAVE STATE - Born ...

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Document information

  • May 7, 2023
  • 6
  • 2022/2023
  • Other
  • Unknown

Subjects

  • postulates
  • hilbert
  • state
  • wavefunction
  • density matrix
  • schrodinger
  • heisenberg
  • interaction
  • selection rules
  • uncertainty
  • harmonic
  • ladder
  • bloch
  • rabi
  • rotor
  • hydrogen
  • angular momentum
  • algebra
  • spin 12

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  • Quantum Mechanics-I
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1. [4 rnarks] Consider a particle of mass rn, moving in one dimension, unde.r the inftucricr.
of a potential V( x ) given by
k
V (:x: ) == -- ~
I :x: 1.




wh e re k is a constant..

( i) Estimate the ground state energy of the particle using the uncertainty principle.

(ii) How does the ground state energy change if we let h -t 0.
2. [6 rnarks] C onsider a particle of mass rn subj(~ct to a onc-dirrwn sional potential V( :1,: )

given by
( oc, :r; < --d
V(x) ==
{ -o:5(x) 1 :r; > -d

where a and d arc positive constants and J(x) is the Dirac delta-funct ion.

(i) Find an equation for the bound state energy E of the particle.
(ii) How docs the energy E change if vvc let d ·---, x.

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