On an exactly solvable B N type Calogero model with non-Hermitian PT invariant interaction
Identifieur interne : 001865 ( Main/Exploration ); précédent : 001864; suivant : 001866On an exactly solvable B N type Calogero model with non-Hermitian PT invariant interaction
Auteurs : B. Basu-Mallick [Inde] ; Bhabani Prasad Mandal [Inde]Source :
- Physics Letters A [ 0375-9601 ] ; 2001.
English descriptors
- Teeft :
- Bender, Calogero, Calogero hamiltonian, Calogero model, Calogero models, Effective hamiltonian, Eigenfunction, Eigenfunctions, Eigenvalue, Exchange statistics parameter, Free oscillators, Generalised, Generalised exclusion statistics, Generalised laguerre polynomials, Ground state, Ground state eigenfunction, Ground state energy, Hamiltonian, Hamiltonians, Invariant interaction, Invariant interactions, Large values, Lett, Mandal, Mandal physics letters, Negative solution, Oscillator, Phys, Positive quantity, Real energy eigenvalues, Real ones, Real spectrum, Similarity transformation, Solvable, Type calogero model.
Abstract
Abstract: An exactly solvable many-particle quantum system is proposed by adding some non-Hermitian but PT invariant interactions to the BN Calogero model. We have shown that such extended BN Calogero model leads to a real spectrum which obey generalised exclusion statistics. It is also found that the corresponding exchange statistics parameter exhibit ‘reflection symmetry’ provided the strength of a PT invariant interaction exceeds a critical value.
Url:
DOI: 10.1016/S0375-9601(01)00310-3
Affiliations:
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Bose National Center for Basic Sciences, Block JD, Sector III, Salt Lake, Calcutta 700098</wicri:regionArea><wicri:noRegion>Calcutta 700098</wicri:noRegion></affiliation><affiliation></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Inde</country></affiliation></author></analytic><monogr></monogr><series><title level="j">Physics Letters A</title><title level="j" type="abbrev">PLA</title><idno type="ISSN">0375-9601</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="2001">2001</date><biblScope unit="volume">284</biblScope><biblScope unit="issue">6</biblScope><biblScope unit="page" from="231">231</biblScope><biblScope unit="page" to="237">237</biblScope></imprint><idno type="ISSN">0375-9601</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0375-9601</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Bender</term><term>Calogero</term><term>Calogero hamiltonian</term><term>Calogero model</term><term>Calogero models</term><term>Effective hamiltonian</term><term>Eigenfunction</term><term>Eigenfunctions</term><term>Eigenvalue</term><term>Exchange statistics parameter</term><term>Free oscillators</term><term>Generalised</term><term>Generalised exclusion statistics</term><term>Generalised laguerre polynomials</term><term>Ground state</term><term>Ground state eigenfunction</term><term>Ground state energy</term><term>Hamiltonian</term><term>Hamiltonians</term><term>Invariant interaction</term><term>Invariant interactions</term><term>Large values</term><term>Lett</term><term>Mandal</term><term>Mandal physics letters</term><term>Negative solution</term><term>Oscillator</term><term>Phys</term><term>Positive quantity</term><term>Real energy eigenvalues</term><term>Real ones</term><term>Real spectrum</term><term>Similarity transformation</term><term>Solvable</term><term>Type calogero model</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: An exactly solvable many-particle quantum system is proposed by adding some non-Hermitian but PT invariant interactions to the BN Calogero model. We have shown that such extended BN Calogero model leads to a real spectrum which obey generalised exclusion statistics. It is also found that the corresponding exchange statistics parameter exhibit ‘reflection symmetry’ provided the strength of a PT invariant interaction exceeds a critical value.</div></front></TEI><affiliations><list><country><li>Inde</li></country></list><tree><country name="Inde"><noRegion><name sortKey="Basu Mallick, B" sort="Basu Mallick, B" uniqKey="Basu Mallick B" first="B." last="Basu-Mallick">B. Basu-Mallick</name></noRegion><name sortKey="Basu Mallick, B" sort="Basu Mallick, B" uniqKey="Basu Mallick B" first="B." last="Basu-Mallick">B. Basu-Mallick</name><name sortKey="Mandal, Bhabani Prasad" sort="Mandal, Bhabani Prasad" uniqKey="Mandal B" first="Bhabani Prasad" last="Mandal">Bhabani Prasad Mandal</name><name sortKey="Mandal, Bhabani Prasad" sort="Mandal, Bhabani Prasad" uniqKey="Mandal B" first="Bhabani Prasad" last="Mandal">Bhabani Prasad Mandal</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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