Relevant bibliographies by topics / Q-deformed Heisenberg

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Q-deformed Heisenberg'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Q-deformed Heisenberg"

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-MONTEIRO, MARCO A. R., ITZHAK RODITI, and LIGIA M. C. S. RODRIGUES. "HIGHLY DEFORMED q-OSCILLATOR SYSTEMS." Modern Physics Letters B 07, no. 29n30 (1993): 1897–902. http://dx.doi.org/10.1142/s0217984993001909.

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We consider the large q limit of systems made of deformed Heisenberg operators. When the deformation parameter is infinite the Fock space and the statistical properties have a fermionic behaviour. We also investigate the ideal q-gas and find the virial expansion of its equation of state.
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Chung, Won Sang, and Hassan Hassanabadi. "Fermi energy in the q-deformed quantum mechanics." Modern Physics Letters A 35, no. 11 (2020): 2050074. http://dx.doi.org/10.1142/s0217732320500741.

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In this paper, we use the q-derivative emerging in the non-extensive statistical physics to formulate the q-deformed quantum mechanics. We find the algebraic structure related to this deformed theory and investigate some properties of the q-deformed elementary functions. Using this mathematical background, we formulate the q-deformed Heisenberg algebra and q-deformed time-dependent Schrödinger equation. As an example, we deal with the infinite potential well and compute the Fermi energy in the q-deformed theory.
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Swamy, P. Narayana. "Deformed Heisenberg algebra: origin of q-calculus." Physica A: Statistical Mechanics and its Applications 328, no. 1-2 (2003): 145–53. http://dx.doi.org/10.1016/s0378-4371(03)00518-1.

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Ben Geloun, Joseph, and Mahouton Norbert Hounkonnou. "q-graded Heisenberg algebras and deformed supersymmetries." Journal of Mathematical Physics 51, no. 2 (2010): 023502. http://dx.doi.org/10.1063/1.3272545.

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Cantuba, Rafael Reno S. "Lie polynomials in q-deformed Heisenberg algebras." Journal of Algebra 522 (March 2019): 101–23. http://dx.doi.org/10.1016/j.jalgebra.2018.12.008.

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SHABANOV, SERGEI V. "q-OSCILLATORS, NON-KÄHLER MANIFOLDS AND CONSTRAINED DYNAMICS." Modern Physics Letters A 10, no. 12 (1995): 941–48. http://dx.doi.org/10.1142/s0217732395001034.

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It is shown that q-deformed quantum mechanics (systems with q-deformed Heisenberg commutation relations) can be interpreted as an ordinary quantum mechanics on Kähler manifolds, or as a quantum theory with second- (or first-) class constraints.
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JOHAL, RAMANDEEP S. "q-DEFORMED DYNAMICS AND JOSEPHSON JUNCTION." Modern Physics Letters B 14, no. 27n28 (2000): 961–66. http://dx.doi.org/10.1142/s0217984900001166.

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We define a generalized rate equation for an observable in quantum mechanics, that involves a parameter q and whose limit q→1 gives the standard Heisenberg equation. The generalized rate equation is used to study dynamics of current-biased Josephson junction. It is observed that this toy model incorporates diffraction-like effects in the critical current. Physical interpretation for q is provided which is also shown to be a q-deformation parameter.
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GAVRILIK, A. M., and I. I. KACHURIK. "THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA." Modern Physics Letters A 27, no. 21 (2012): 1250114. http://dx.doi.org/10.1142/s0217732312501143.

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A three-parametric two-sided deformation of Heisenberg algebra (HA), with p, q-deformed commutator in the L.H.S. of basic defining relation and certain deformation of its R.H.S., is introduced and studied. The third deformation parameter μ appears in an extra term in the R.H.S. as pre-factor of Hamiltonian. For this deformation of HA we find novel properties. Namely, we prove it is possible to realize this (p, q, μ)-deformed HA by means of some deformed oscillator algebra. Also, we find the unusual property that the deforming factor μ in the considered deformed HA inevitably depends explicitly
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Fiore, Gaetano. "Embedding Q-deformed Heisenberg algebras into undeformed ones." Reports on Mathematical Physics 43, no. 1-2 (1999): 101–8. http://dx.doi.org/10.1016/s0034-4877(99)80019-6.

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Pan, Hui-yun, and Zu Sen Zhao. "q-bosons and the Lie-deformed Heisenberg algebra." Physics Letters A 237, no. 6 (1998): 315–18. http://dx.doi.org/10.1016/s0375-9601(97)00764-0.

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Dissertations / Theses on the topic "Q-deformed Heisenberg"

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Hellström, Lars. "The Diamond Lemma for Power Series Algebras." Doctoral thesis, Umeå University, Mathematics and Mathematical Statistics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92.

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<p>The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. Several results in the literature are shown to be special cases of this diamond lemma and examples are given of interesting problems which could not previously be treated. One of these examples provides a general construction of a normed skew field in which a custom commutation relation holds.</p><p>There is also a general result on the structure of totally ordered semig
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Books on the topic "Q-deformed Heisenberg"

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D, Silvestrov Sergei, ed. Commuting elements in q-deformed Heisenberg algebras. World Scientific, 2000.

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Hellström, Lars, and Sergei D. Silvestrov. Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/4509.

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Book chapters on the topic "Q-deformed Heisenberg"

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Wess, Julius. "q-Deformed Heisenberg Algebras." In Geometry and Quantum Physics. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-46552-9_7.

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Wess, J. "q-Deformed heisenberg algebra." In Supersymmetry and Quantum Field Theory. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0105255.

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Cantuba, Rafael Reno, and Sergei Silvestrov. "Torsion-Type q-Deformed Heisenberg Algebra and Its Lie Polynomials." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41850-2_24.

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Chadzitaskos, G., and J. Tolar. "Quantum Mechanics on Z M and q-Deformed Heisenberg-Weyl Algebras." In Quantization and Infinite-Dimensional Systems. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2564-6_26.

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"Representations of $\mathcal{H}({\rm q}, J)$ by q-difference operators." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0008.

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"Bases and normal form in $\mathcal{H}(q)$ and $\mathcal{H}({\rm q}, J)$." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0003.

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"Algebraic dependence of commuting elements in $\mathcal{H}(q)$ and $\mathcal{H}({\rm q}, n)$." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0007.

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"Centralisers of elements in $ \mathcal{H}(q)$." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0006.

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"Introduction." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0001.

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"Immediate consequences of the commutation relations." In Commuting Elements in Q-Deformed Heisenberg Algebras. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792280_0002.

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Conference papers on the topic "Q-deformed Heisenberg"

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Harrat, M., N. Mebarki, and A. Redouane Salah. "NCG q-deformed Weyl-Heisenberg algebra." In THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4715479.

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Boucerredj, N., and N. Mebarki. "Non uniqueness and equivalence of the q-deformed Weyl-Heisenberg algebra representations." In THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4715442.

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