Books with exercises dealing with harmonic oscillators

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SUMMARY

The discussion centers on the need for advanced resources on harmonic oscillators in quantum physics, specifically focusing on creation and annihilation operators, coherent states, and Fock states. The user has completed an undergraduate course covering fundamental topics but seeks challenging exercises related to compound systems and various quantum methods. Recommended resources include Ballentine, though it is noted to have limited depth. The user expresses frustration over the lack of suitable practice materials to prepare for upcoming exams.

PREREQUISITES
  • Understanding of quantum mechanics principles, including the Schrödinger equation.
  • Familiarity with harmonic oscillators and their mathematical representations.
  • Knowledge of quantum states such as coherent and squeezed states.
  • Basic concepts of perturbation theory and variational methods.
NEXT STEPS
  • Research advanced quantum mechanics textbooks focusing on harmonic oscillators, such as "Quantum Mechanics: A Modern Development" by Leslie E. Ballentine.
  • Explore resources on quantum optics for additional exercises and applications of harmonic oscillators.
  • Study the variational method in quantum mechanics for a deeper understanding of complex systems.
  • Investigate online platforms offering problem sets or exercises specifically on Fock states and displacement operators.
USEFUL FOR

Students and educators in quantum physics, particularly those seeking to deepen their understanding of harmonic oscillators and related advanced topics. This discussion is beneficial for anyone preparing for exams or looking for challenging practice problems in quantum mechanics.

Physis
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Hello!

I'm looking for books (or webpages, anything is welcome) with exercises dealing with methods applied to the harmonic oscillator, especially creation and annihilation operators, coherent states, squeezed states, minimum uncertainty states, Fock states, displacement operators... I have already done a course in quantum physics at an undergraduate level (postulates, 1-dimensional and 3-dimensional Schrödinger equation, finite and infinite wells, barriers, tunnel effect, spherical harmonics...), but I still haven't done anything dealing with compound systems, distinguishable and indistinguishable particles, variational method, perturbation theory and spinorial wave functions because that's what I'm going to learn next in the following quantum physics course. It would be extremely useful if the exercises are not easy, because that's the only thing I have been able to find. None of the bibliography the teacher has provided (Griffiths, Sakurai, Cohen-Tannoudji, Mandl...) deals with this (or at least I haven't found it), except for Ballentine, which offers offers a very limited section that doesn't go very much in depth.

Thank for your attention. I know it's a tricky request, but I don't have any exercises to practise this, as the ones we do in class are too easy compared to the problems in the exams (and there's no way to be prepared for it if I'm not able to find any resources that might help me). Have a nice day!
 
Physics news on Phys.org
You might want to look at books on quantum optics.
 
Sorry for the late reply. Thank you, I'll do that!
 

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