Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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#6. Find the V=3 unnormalized harmonic oscillator wave function.
In your text the harmonic oscillator is treated by the so-called
"analytic" method, which involves Solving Schrodinger's differential
equation for
eigen functions (ware functions) directly and using
(x²) by
these eigen functions to obtain average values such as 2x²) 4
me
integration.
there is another useful and informative approach known as the
" algebraic" (or "ladder operator") method, based solely on commutation
relations, that avoids the somentat tedious process of solving directly
and evaluating an integralls to obtain average
values and other quantities, this the thod is developed in the following
for
the
11 The badder operators
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Transcribed Image Text:#6. Find the V=3 unnormalized harmonic oscillator wave function. In your text the harmonic oscillator is treated by the so-called "analytic" method, which involves Solving Schrodinger's differential equation for eigen functions (ware functions) directly and using (x²) by these eigen functions to obtain average values such as 2x²) 4 me integration. there is another useful and informative approach known as the " algebraic" (or "ladder operator") method, based solely on commutation relations, that avoids the somentat tedious process of solving directly and evaluating an integralls to obtain average values and other quantities, this the thod is developed in the following for the 11 The badder operators
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