Which of the following statements is false? I. The reduced mass of a two-particle system is always less than m₁ and less than m2. II. When we solve a two-particle system (whose potential-energy V is a function of only the relative coordinates of the two particles) by dealing with two separate one-particle systems, V is part of the Hamiltonian operator of the fictitious particle with mass equal to the reduced mass. III. For a one-particle problem with V = br², where b is a positive constant, the stationary-state wave functions have the form = ƒ (r) Y (0, ¢) O II 1 O III None of the given choices. II and III

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Which of the following statements is false?
I. The reduced mass of a two-particle system is always
less than m₁ and less than m2.
II. When we solve a two-particle system (whose
potential-energy V is a function of only the relative
coordinates of the two particles) by dealing with two
separate one-particle systems, V is part of the
Hamiltonian operator of the fictitious particle with mass
equal to the reduced mass.
III. For a one-particle problem with V = br², where b is a
positive constant, the stationary-state wave functions
have the form = ƒ (r) Y (0, ¢)
O II
OI
|||
None of the given choices.
II and III
Transcribed Image Text:Which of the following statements is false? I. The reduced mass of a two-particle system is always less than m₁ and less than m2. II. When we solve a two-particle system (whose potential-energy V is a function of only the relative coordinates of the two particles) by dealing with two separate one-particle systems, V is part of the Hamiltonian operator of the fictitious particle with mass equal to the reduced mass. III. For a one-particle problem with V = br², where b is a positive constant, the stationary-state wave functions have the form = ƒ (r) Y (0, ¢) O II OI ||| None of the given choices. II and III
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