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A1. Two observables X and Y described by operators & and Ý are non-compatible if: (a) Operators Å and Ỹ are related by [8,9] = 0 (b) Operators & and Ý are related by [8,9] # 0 (c) Operators & and Ý are related by [{,9] > 0 (d) Operators & and Y are related by [8, P] <0 A2. Consider operators ? and î, which are compatible commutators. Which statement correctly describes the two operator's compatibility? (a) Operators and î, have commutator relation [12, 1] = o (b) Operators and l, have commutator relation [17, 1,] + 0 (c) Operators and l, have commutator relation [1?, 1,] > 0 (d) Operators and Î, have commutator relation [1?, 1,] < 0 A3. Which statement is not correct about the position and momenta components commutator relation? (a) Operators £ and Pz with relation [£, pz] = ih (b) Operators z and iz with relation [Ż, ê2] = ih (c) Operators ŷ and pz with relation [ŷ, Pz] = 0 (d) Operators ŷ and p, with relation [ý, py] = 0 %3D

A1. Two observables X and Y described by operators & and Ý are non-compatible if: (a) Operators Å and Ỹ are related by [8,9] = 0 (b) Operators & and Ý are related by [8,9] # 0 (c) Operators & and Ý are related by [{,9] > 0 (d) Operators & and Y are related by [8, P] <0 A2. Consider operators ? and î, which are compatible commutators. Which statement correctly describes the two operator's compatibility? (a) Operators and î, have commutator relation [12, 1] = o (b) Operators and l, have commutator relation [17, 1,] + 0 (c) Operators and l, have commutator relation [1?, 1,] > 0 (d) Operators and Î, have commutator relation [1?, 1,] < 0 A3. Which statement is not correct about the position and momenta components commutator relation? (a) Operators £ and Pz with relation [£, pz] = ih (b) Operators z and iz with relation [Ż, ê2] = ih (c) Operators ŷ and pz with relation [ŷ, Pz] = 0 (d) Operators ŷ and p, with relation [ý, py] = 0 %3D

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A1. Two observables X and Y described by operators & and Ý are non-compatible if: (a) Operators Å and Ý are related by [8,P] = 0 (b) Operators & and Ý are related by [8, P] + 0 (c) Operators & and Ý are related by [X,9] > 0 (d) Operators & and Y are related by [8,9] < 0 A2. Consider operators ? and î, which are compatible commutators. Which statement correctly describes the two operator's compatibility? (a) Operators and Î, have commutator relation [1?, 1,] = 0 (b) Operators and î, have commutator relation [12, 1,] # 0 (c) Operators and l, have commutator relation [1?, 1,] > 0 (d) Operators ?? and î, have commutator relation [i?, 1,] < 0 A3. Which statement is not correct about the position and momenta components commutator relation? (a) Operators & and pz with relation [2, Pz] = ih (b) Operators î and iz with relation [2, ê2] = ih (c) Operators ŷ and pz with relation [ŷ, Pz] = 0 (d) Operators ŷ and py with relation [ý, py] = 0 %3D A4. Consider an incident particle which approaches the potential barrier. The probability that the particle will be reflected is: (a) If the energy of the particle is the same that of potential (b) If the energy of the particle greater than that of the potential (c) If the energy of the particle is less than that of the potential (d) If the potential is zero A5. Consider an incident particle which is travelling towards the potential step. (a) The incident wave for this particle is represented by y = Ae-ikx + Belkx (b) The incident wave for this particle is represented by = Beikx
Transcribed Image Text:A1. Two observables X and Y described by operators & and Ý are non-compatible if: (a) Operators Å and Ý are related by [8,P] = 0 (b) Operators & and Ý are related by [8, P] + 0 (c) Operators & and Ý are related by [X,9] > 0 (d) Operators & and Y are related by [8,9] < 0 A2. Consider operators ? and î, which are compatible commutators. Which statement correctly describes the two operator's compatibility? (a) Operators and Î, have commutator relation [1?, 1,] = 0 (b) Operators and î, have commutator relation [12, 1,] # 0 (c) Operators and l, have commutator relation [1?, 1,] > 0 (d) Operators ?? and î, have commutator relation [i?, 1,] < 0 A3. Which statement is not correct about the position and momenta components commutator relation? (a) Operators & and pz with relation [2, Pz] = ih (b) Operators î and iz with relation [2, ê2] = ih (c) Operators ŷ and pz with relation [ŷ, Pz] = 0 (d) Operators ŷ and py with relation [ý, py] = 0 %3D A4. Consider an incident particle which approaches the potential barrier. The probability that the particle will be reflected is: (a) If the energy of the particle is the same that of potential (b) If the energy of the particle greater than that of the potential (c) If the energy of the particle is less than that of the potential (d) If the potential is zero A5. Consider an incident particle which is travelling towards the potential step. (a) The incident wave for this particle is represented by y = Ae-ikx + Belkx (b) The incident wave for this particle is represented by = Beikx
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