Confined atomic systems : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematical Physics at Massey University, Albany, New Zealand

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dc.contributor.authorHasanbulli, Mustafa
dc.date.accessioned2015-08-06T01:56:55Z
dc.date.available2015-08-06T01:56:55Z
dc.date.issued2015
dc.description.abstractIn this thesis, we investigate physical properties of various atomic systems such as hydrogen, helium and argon confined in a soft–wall potential of the form Vs(r) = (r=r0)N ; where r0 is the radius of the spherical confinement and N is the stiffness controlling variable. Our main purpose is to introduce a confinement for atomic systems that is flexible in terms of sti ness of the confining walls. However, this brings its complications such as non–existence of analytic solutions to the non–relativistic Schr¨odinger equation for this particular problem, and non– availability of good basis sets for studying electronic properties of such systems. Therefore, at first, we treat the problem in pure numerical fashion. Based on our experience on the numerical data, we then attempt to design basis sets that can be used in quantum chemical software packages. We compare our results to known theoretical and experimental results and, in return, make a decision on the quality of the basis sets. To our knowledge, systems confined in this type of potential has not yet been studied, and, we believe that this study will open up new research areas in this field. Possible applications are in high–pressure simulations of atomic, or molecular systems.en_US
dc.identifier.urihttp://hdl.handle.net/10179/6946
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectHydrogenen_US
dc.subjectHeliumen_US
dc.subjectArgonen_US
dc.subjectSpectraen_US
dc.subjectAtomic systemsen_US
dc.subjectAtomic spectraen_US
dc.subjectMathematical modelsen_US
dc.subjectResearch Subject Categories::NATURAL SCIENCES::Physics::Other physics::Mathematical physicsen_US
dc.titleConfined atomic systems : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematical Physics at Massey University, Albany, New Zealanden_US
dc.typeThesisen_US
massey.contributor.authorHasanbulli, Mustafaen_US
thesis.degree.disciplineMathematical Physicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophy (Ph.D.)en_US
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