5. The Hamiltonian for an axially symmetric rotator is L;+ L; L 21, 213 (a) What are the eigenvalues of H? (b) Sketch the spectrum, assuming that I, > Iz. (c) What is the spectrum in the limit that I, is much larger than 1,?

5. The Hamiltonian for an axially symmetric rotator is L;+ L; L 21, 213 (a) What are the eigenvalues of H? (b) Sketch the spectrum, assuming that I, > Iz. (c) What is the spectrum in the limit that I, is much larger than 1,?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

5. The Hamiltonian for an axially symmetric rotator is
H =
+
21,
213
(a) What are the eigenvalues of H?
(b) Sketch the spectrum, assuming that I, > Iz.
(c) What is the spectrum in the limit that I, is much larger than I,?

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