## Recent **Performance Management** Questions & Answers

###### State the Uncertainty Principle in a precise and general way.
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##### State the Uncertainty Principle in a precise and general way.
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###### What does "degenerate states" mean?
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##### What does "degenerate states" mean?
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###### Why do all the solutions of the Schrödinger equation have definite energy?
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##### Why do all the solutions of the Schrödinger equation have definite energy?
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###### Show (maximum 3 lines) that, when the wave function is an operator's own function, the observable has a defined value.
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##### Show (maximum 3 lines) that, when the wave function is an operator's own function, the observable has a defined value.
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###### What does it mean for an operator to be Hermitic (or Hermitian)? Why should an operator representing a measurable physical quantity have this property...

##### What does it mean for an operator to be Hermitic (or Hermitian)? Why should an operator representing a measurable physical quantity have this property?
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###### Describe the induced Rabi oscillations between two-level systems. If an oscillating magnetic field with frequency v is used to generate the transition...

##### Describe the induced Rabi oscillations between two-level systems. If an oscillating magnetic field with frequency v is used to generate the transitions between the two levels of the system, what is the relationship between the frequency of the Rabi oscillations and the intensity of the magnetic fiel...

###### Show that for the invariance of the Schrodinger equation under U(t = 0) = 1 implies a potential.\r\n...

##### Show that for the invariance of the Schrodinger equation under U(t = 0) = 1 implies a potential.\r\n...

###### The normalized wave functions for the ground state,ψ0(x), and the first excited state, ψ1(x) of a quantum harmonic oscillator ...

##### The normalized wave functions for the ground state,ψ0(x), and the first excited state, ψ1(x) of a quantum harmonic oscillator are
ψ0 (x) = (a/pi) ^¼ e^ -(ax²)/2
ψ1(x)= (4a³/pi) ^ ¼ xe -(ax²)/2
&nbs...

###### I. 1. Normalize the wave function for the ground state of the simple harmonic oscillator
II...

##### I. 1. Normalize the wave function for the ground state of the simple harmonic oscillator
II. 2. Determine the probability of finding the oscillator in a narrow interval -δ/2...

###### In a Young's double slit experiment, each slit acts very much like our previous class experiment with two audio speakers. The central maximum frin...

##### In a Young's double slit experiment, each slit acts very much like our previous class experiment with two audio speakers. The central maximum fringe is bright because the path difference is zero (the distance to each slit is the same). If the wavelength of the light is 500 nm, what is the path d...