A particle is trapped in the ground state (lowest energy level) of a potential well of width L. To understand how the particle is localized, a common measure is the standard deviation Δ.defined byax =/k2 ) -(x), where (x2) and (x) are the V expectation values of x2 and x, respectively. Find the uncertainty Δx in the position of the particle in terms of length L and estimate the minimum uncertainty in the momentum of the particle, using the Heisenberg uncertainty principle in terms of L and the Planck’s constant h Note:-1 x(sin-ー) dx 0.5L andー! x3sin–) dx = 0.28し2

400 - A particle is trapped in the ground state (lowest energy level) of a potential well of width L. To understand how the particle is localized, a common measure is the standard deviation Δ.defined byax =/k2 ) -(x), where (x2) and (x) are the V expectation values of x2 and x, respectively. Find the uncertainty Δx in the position of the particle in terms of length L and estimate the minimum uncertainty in the momentum of the particle, using the Heisenberg uncertainty principle in terms of L and the Planck's constant h Note:-1 x(sin-ー) dx 0.5L andー! x3sin--) dx = 0.28し2

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images - A particle is trapped in the ground state (lowest energy level) of a potential well of width L. To understand how the particle is localized, a common measure is the standard deviation Δ.defined byax =/k2 ) -(x), where (x2) and (x) are the V expectation values of x2 and x, respectively. Find the uncertainty Δx in the position of the particle in terms of length L and estimate the minimum uncertainty in the momentum of the particle, using the Heisenberg uncertainty principle in terms of L and the Planck's constant h Note:-1 x(sin-ー) dx 0.5L andー! x3sin--) dx = 0.28し2

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