Determine the energy levels (E ...
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Determine the energy levels (E<0) for a particle moving in a field of potential energy V(x) = A (e -2 e-x) (P.M. Morse). (Hint: Schroedinger's equation is d²y 2m + [E-Ae2ax +2 Ae¯ax]y = 0. dx² ħ² We introduce a new variable y=- -2ax n= 2√2m A ah and the notation so that -2mE 2mA - (₁+1). Write Schroedinger's equation in the new form. ah aħ Find the necessary conditions of finiteness for small y and for large y. Under these conditions, show that this equation is a Confluent Hypergeometric function. Determine the energy levels (E<0) for a particle moving in a field of potential energy V(x) = A (e -2 e-x) (P.M. Morse). (Hint: Schroedinger's equation is d²y 2m + [E-Ae2ax +2 Ae¯ax]y = 0. dx² ħ² We introduce a new variable y=- -2ax n= 2√2m A ah and the notation so that -2mE 2mA - (₁+1). Write Schroedinger's equation in the new form. ah aħ Find the necessary conditions of finiteness for small y and for large y. Under these conditions, show that this equation is a Confluent Hypergeometric function.
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Related Book For
Accounting Principles
ISBN: 978-0470533475
9th Edition
Authors: Jerry J. Weygandt, Paul D. Kimmel, Donald E. Kieso
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