The Virial Theorem_states that for a system with potential energy V(r)=Ar (where A and are some...

 

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The Virial Theorem_states that for a system with potential energy V(r)=Ar" (where A and are some constants), (T)=2(V) where (T) is expectation (average) value of the kinetic energy, and (V) is expectation value of the potential energy. For a harmonic oscillator in its ground state, a) Evaluate the expectation value of (V). b) Calculate the expectation value of kinetic energy (T). c) Verify that the Virial Theorem is satisfied for harmonic oscillator, for which 77 = 2. The Virial Theorem_states that for a system with potential energy V(r)=Ar" (where A and are some constants), (T)=2(V) where (T) is expectation (average) value of the kinetic energy, and (V) is expectation value of the potential energy. For a harmonic oscillator in its ground state, a) Evaluate the expectation value of (V). b) Calculate the expectation value of kinetic energy (T). c) Verify that the Virial Theorem is satisfied for harmonic oscillator, for which 77 = 2.