Consider a single particle with rest mass m residing in a one-dimensional space, x. = o for x < 0 and x > a, and a potential energy V(x) = 0 for 0 < x < a. The solutions to the Schrödinger Equation for this system are This particle experiences a potential energy V(x) NT Vn(x) sin a where n is the state's quantum number. Show that the ground state wave function is normalized

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Consider a single particle with rest mass m residing in a one-dimensional space, x.
This particle experiences a potential energy V(x) = ∞ for x < 0 and x > a, and a potential
energy V(x) = 0 for 0 < x < a. The solutions to the Schrödinger Equation for this system are
12.
2
Vn(x) :
sin
a
where n is the state's quantum number. Show that the ground state wave function is normalized.
Transcribed Image Text:Consider a single particle with rest mass m residing in a one-dimensional space, x. This particle experiences a potential energy V(x) = ∞ for x < 0 and x > a, and a potential energy V(x) = 0 for 0 < x < a. The solutions to the Schrödinger Equation for this system are 12. 2 Vn(x) : sin a where n is the state's quantum number. Show that the ground state wave function is normalized.
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