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A study of two PT -symmetric quantum mechanical systems
KTH, School of Engineering Sciences (SCI), Physics.
KTH, School of Engineering Sciences (SCI), Physics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this report we examine the concept of PT -symmetric quantum mechanics and analyze

two such systems. PT -symmetric quantum mechanics is a new branch of quantum mechanics,

first proposed by Bender and Boettcher in 1998 and has been the subject of much

research since then. Various important aspects of PT -symmetric quantum mechanics is

explained, such as asymptotic behaviour of solutions of the Schrödinger equation, as well

as the concept of the C operator that is unique to PT -symmetric quantum mechanics.

We briefly discuss both the concept of broken and unbroken PT -symmetry, and the

relation between PT -symmetric and Hermitian quantum mechanics through similarity

transforms. We specifically direct our attention to two theoretical quantum mechanical

systems described by Hamiltonians with the property of being PT -symmetric. For these

systems we determine the energy levels, one by analytical means and the other by use of

numerical methods. To determine the energy levels numerically we have used the builtin

ODE-solver ode45 in MATLAB in conjunction with the equation solver fzero.

Our results are compared to those of previous studies and our methods and results are

discussed.

Place, publisher, year, edition, pages
2016. , p. 29
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-193712OAI: oai:DiVA.org:kth-193712DiVA, id: diva2:1033808
Available from: 2017-07-04 Created: 2016-10-10 Last updated: 2017-07-04Bibliographically approved

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Citation style
  • apa
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