Question 01: Consider a 1-dimensional quantum system of one particle in which the particle is under a potential V(x) = }mw?a?, with m being the mass of the particle and w being a parameter (you may take it as angular fre- quency) with inverse dimension of time. The particle may be found in the region -00 < x < 0o. • Varify that the lowest two states of the system are mutually orthonormal.
Question 01: Consider a 1-dimensional quantum system of one particle in which the particle is under a potential V(x) = }mw?a?, with m being the mass of the particle and w being a parameter (you may take it as angular fre- quency) with inverse dimension of time. The particle may be found in the region -00 < x < 0o. • Varify that the lowest two states of the system are mutually orthonormal.
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![Consider a 1-dimensional quantum system of one particle
Question 01:
in which the particle is under a potential V(x) = mw?a?, with m being the
mass of the particle and w being a parameter (you may take it as angular fre-
quency) with inverse dimension of time. The particle may be found in the region
-0 < x < o.
Varify that the lowest two states of the system are mutually orthonormal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F949fcb80-5a75-4860-bdda-ccb4a4fe8c11%2F42818568-4278-4bf7-b654-b872508d787a%2Fwlj98m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a 1-dimensional quantum system of one particle
Question 01:
in which the particle is under a potential V(x) = mw?a?, with m being the
mass of the particle and w being a parameter (you may take it as angular fre-
quency) with inverse dimension of time. The particle may be found in the region
-0 < x < o.
Varify that the lowest two states of the system are mutually orthonormal.
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