Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Rath, Biswanath"'
Publikováno v:
J. Math. Phys. 64, 012102 (2023)
We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et al., J. Math. Phys. {\bf 62}, 092101 (2021)] in the classical and quantum formalisms, by introducing the effect of the mass function in both kinetic and poten
Externí odkaz:
http://arxiv.org/abs/2302.02172
Autor:
Dong, Shi-Hai, Rath, Biswanath
We propose a new "superpotential" and find that neither the supersymmetric energy conditions nor the associated shape invariance condition remain valid. On the other hand a new energy condition $E_{n}^{+}-E_{n}^{(-)}=2$ between the two partner Hamilt
Externí odkaz:
http://arxiv.org/abs/2206.00043
Autor:
Roy, Tapas1 (AUTHOR), Rath, Biswanath2 (AUTHOR), Asad, Jihad3 (AUTHOR) j.asad@ptuk.edu.ps, Maiti, Dilip K1 (AUTHOR), Mallick, Pravanjan2 (AUTHOR), Jarrar, Rabab3 (AUTHOR)
Publikováno v:
Journal of Low Frequency Noise, Vibration & Active Control. Dec2024, Vol. 43 Issue 4, p1469-1480. 12p.
Autor:
Rath, Biswanath
We formulate the structure of spectral invariance in shape invariance single and double well potentials using derivative invariance.
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Externí odkaz:
http://arxiv.org/abs/1907.05235
We reflect real spectra of new logarithmic model PT-symmetry operators with singular and non-singular in nature. We also notice that iso-spectral nature between inverted and non-inverted logarithmic PT-symmetric potentials. Present numerical result g
Externí odkaz:
http://arxiv.org/abs/1904.09983
Autor:
Rath, Biswanath
We propose a model CCS (complex-conjugate-space) to understand the inner and outer product nature of wave functions in non-hermitian PT-symmetry model in quantum mechanics considering (NxN) matrix model. Further we reflect the correct nature of C-sym
Externí odkaz:
http://arxiv.org/abs/1902.07673
Akademický článek
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Autor:
Rath, Biswanath
We argue by saying that due to conservation of energy ($\langle H\rangle_n \rightleftharpoons \langle K.E\rangle_n + \langle P.E\rangle_n$) PT-symmetry Hamiltonian $H = p^2 - (ix)^N$ is a highly ordered system. Further, it is found that $\langle K.E\
Externí odkaz:
http://arxiv.org/abs/1811.01202
Autor:
Rath, Biswanath
We notice new Hermitian counterpart of Swanson's Hamiltonian.
Externí odkaz:
http://arxiv.org/abs/1802.01981
Autor:
Rath, Biswanath1 biswanathrath10@gmail.com, Jarrar, Rabab2 r.jarrar@ptuk.edu.ps, Shanak, Hussein2 h.shanak@ptuk.edu.ps, Wannan, Rania3 r.wannan@ptuk.edu.ps, Asad, Jihad2 j.asad@ptuk.edu.ps
Publikováno v:
European Journal of Pure & Applied Mathematics. Jul2023, Vol. 16 Issue 3, p2005-2008. 4p.