RAM MEHAR SINGH
Articles written in Pramana – Journal of Physics
Volume 72 Issue 4 April 2009 pp 647-654 Research Articles
Ram Mehar Singh Fakir Chand S C Mishra
We deal with the difficulties claimed by the author of [
Volume 73 Issue 2 August 2009 pp 349-361
Fakir Chand S C Mishra Ram Mehar Singh
We investigate the quasi-exact solutions of an analogous Schrödinger wave equation for two-dimensional non-Hermitian complex Hamiltonian systems within the framework of an extended complex phase space characterized by $x = x_{1} + ip_{3}$, $y = x_{2} + ip_{4}$, $p_{x} = p_{1} + ix_{3}$, $p_{y} = p_{2} + ix_{4}$. Explicit expressions for the energy eigenvalues and eigenfunctions for ground and first excited states of a two-dimensional $\mathcal{PT}$-symmetric sextic potential and some of its variants are obtained. The eigenvalue spectra are found to be real within some parametric domains.
Volume 83 Issue 3 September 2014 pp 301-316
On solving the Schrödinger equation for a complex deictic potential in one dimension
Making use of an ansatz for the eigenfunction, we investigate closed-form solutions of the Schrödinger equation for an even power complex deictic potential and its variant in one dimension. For this purpose, extended complex phase-space approach is utilized and nature of the eigenvalue and the corresponding eigenfunction is determined by the analyticity property of the eigenfunction. The imaginary part of the energy eigenvalue exists only if the potential parameters are complex, whereas it reduces to zero for real coupling parameters and the result coincides with those derived from the invariance of Hamiltonian under $\mathcal{PT}$ operations. Thus, a non-Hermitian Hamiltonian possesses real eigenvalue, if it is $\mathcal{PT}$-symmetric.
Volume 96 All articles Published: 27 June 2022 Article ID 0125 Research Article
Mass spectra and thermodynamic properties of some heavy and light mesons
VINOD KUMAR S B BHARDWAJ RAM MEHAR SINGH FAKIR CHAND
An energy eigenvalue expression for a sextic anharmonic interaction potential is derived by solving the Schrödinger equation analytically within the framework
of the Nikiforov–Uvarov (NU) method. The resultant expression is then used to calculate the mass spectra of some heavy and light mesons, viz.,
Volume 97, 2023
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