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of 138
pro vyhledávání: '"Sukumar C"'
Autor:
Sukumar, C. V.
The Dunham expansion for the one-dimensional two-turning-point eigenvalue problem for all orders in the WKB approximation is examined. An explicit form for all the odd order terms in the expansion which are are total derivatives is given.
Externí odkaz:
http://arxiv.org/abs/2302.03515
Autor:
Sukumar, C. V., Bonaccorso, A.
Publikováno v:
Biographical Memoirs of Fellows of the Royal Society, Volume 73, 2022, pag.65 - 83
David Brink was one of the leading theoretical nuclear physicists of his generation. He made major contributions to the study of all aspects of nuclear physics embracing nuclear structure, nuclear scattering, and nuclear instability. His wide ranging
Externí odkaz:
http://arxiv.org/abs/2301.02907
Autor:
Sukumar, C. V.
Green's functions for reflectionless potentials are constructed and analyzed. Green's functions for power law potentials, their Super Symmetric partners and sum rules for eigenvalues are examined. The SUSY partner potentials to power law potentials w
Externí odkaz:
http://arxiv.org/abs/2107.04332
Autor:
Buck, B., Sukumar, C. V.
Classical and quantum correlation functions are derived for a system of non-interacting particles moving on a circle. It is shown that the decaying behaviour of the classical expression for the correlation function can be recovered from the strictly
Externí odkaz:
http://arxiv.org/abs/2107.01932
Autor:
Sukumar, C. V.
It is shown that the well known sum rules for oscillator strengths for Hydrogen atom can be generalised to a whole class of sum rules. The sum rules have contributions from the discrete and the continuum parts of the spectrum neither of which can be
Externí odkaz:
http://arxiv.org/abs/1809.06073
Autor:
Sukumar, C. V.
Publikováno v:
Physical Review A - Volume 47, pages 1554-6 (1993)
The eigenstates of linear combinations of the Susskind and Glogowerphase operators for the harmonic oscillator are constructed. It is shown that such eigenstates are squeezed states.
Comment: 6pages
Comment: 6pages
Externí odkaz:
http://arxiv.org/abs/1809.03844
Akademický článek
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Autor:
Sukumar, C. V.
Generalisations of the virial theorm in Classical Mechanics and Quantum Mechanics are examined. It is shown that the generalised virial theorem in Quantum Mechanics leads to certain relations between matrix elements. The differences between the gener
Externí odkaz:
http://arxiv.org/abs/1410.5592
Autor:
Sukumar, C. V.
It is shown that the radial Schroedinger equation for a power law potential and a particular angular momentum may be transformed using a change of variable into another Schroedinger equation for a different power law potential and a different angular
Externí odkaz:
http://arxiv.org/abs/1410.5594
Autor:
Sukumar, C. V.
It is shown that a SU(1,1) algebra may be used to provide a unified description of the simple hamonic oscillator and the angular momentum algebras and a class of other semi-infinite algebras. A normal ordered representation of a Unitary operator $U$
Externí odkaz:
http://arxiv.org/abs/1210.5331