15 citations · 32 across the 20 of their papers we have counts for
20 papers
Isospectral potentials with Dirac delta interaction: Constrained Spectra
Kumar Abhinav, Biswanath Rath, Prasanta K. Panigrahi
We study quantum potentials containing Dirac delta function (DDF) within its supersymmetric (isospectral) construction via a discontinuous superpotential, instead of being simply a…
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass
Bruno G. da Costa, Ignacio S. Gomez, Biswanath Rath
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…
Superpotential for novel symmetry beyond shape invariance
Shi-Hai Dong, Biswanath Rath
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 ene…
Asymmetric variation of a finite mass harmonic like oscillator
Jihad Asad, P. Mallick, B. Rath +4
Classical and quantum mechanical analysis have been carried out on harmonic like oscillator with asymmetric position dependent mass. Phase space analysis are performed both classic…
Shape Invariant Single and Double well Potentials under Spectral Invariance
Biswanath Rath
We formulate the structure of spectral invariance in shape invariance single and double well potentials using derivative invariance.
Two different analyses on derivation of PYTHAGORAS Theorem (569-479 BC): Discrete continuum states
B. Rath
We propose two different derivations of Pythagoras Theorem and apply the same to study discrete and continuum states.
Real spectra in Logarithmic model PT-symmetry operators: Iso-spectra in Logarithmic PT-symmetry
Biswanath Rath, Rabab Jarrar, Hussein Shanak +2
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-in…
PT-Symmetric Quantum Mechanics: (NxN) Matrix Model
Biswanath Rath
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 consider…
PT-symmetry a highly ordered quantum system
Biswanath Rath
We argue by saying that due to conservation of energy () PT-symmetry Hamiltonian $H = p^2 - (ix)^…
Revisited Swanson's Hamiltonian
Biswanath Rath
We notice new Hermitian counterpart of Swanson's Hamiltonian.
Some studies on quantum equivalents of non-commutative operators via commutating eigenvalue relation: PT-symmetry
Biswanath Rath
We study quantum equivalents of non-commutative operators in quantum mechanics. Any matrix "" satisfying the non-commuting relation with "", can be used via $B^…
Revisiting " Morse potential on Quantum Computer for Molecules and Supersymmetric Quantum Mechanics" arxiv:2102.05102v1[quant-physics]
Biswanath Rath
We find theoretical results on energy eigenvalues and corresponding supersymmetric Hamiltonians reflect contradictory behavior for negative values of A. furthermore the resulting s…
Spectral study on some complex PT-symmetry quantum systems using the Mathews-Lakshmanan position dependent mass in von Roos model and derivation of one parameter K.E [ S. Cruz ,J. Negro and L . M .Nieto [Phys .Lett 369(2007)]
Biswanath Rath
Present PT-symmetry deals with broken and unbroken spectra of ML oscillator.
Asymmetric factorization method on supersymmetry: Complex operators
Biswanath Rath
We propose asymmetric factorization method for supersymmetry involving complex operators. Model Hamiltonians satisfy supersymmetric energy conditions ; $…
Dual degeneracy in Supersymmetry
Biswanath Rath
We construct a double degenerate supersymmetry in one dimensional quantum mechanics. Here the energy levels satisfy the conditions and $E_{n,n+1}^{(+)}=E_{n+2,n+…
Negative spectrum in Harmonic oscillator under simultaneous Non-hermitian transformation of co-ordinate and momentum with Real wave function
Biswanath Rath
We notice that PT symmetric non-Hermitian one dimensional simple Harmonic Oscillator under simultaneous transformation of co-ordinate and momentum with proper choice of positive os…
Sensitizing Non-Hermitian Hamiltonian for Study of Real Spectra : Controlled broken PT symmetry
Biswanath Rath
We find that a broken PT-symmetry operator when interacts with suitable Hermitian operator, new system becomes completely un-broken PT symmetry. Further on varying the contribution…
Derivation and Correlation between Pythagorus (560-479BC) and Mathieu's (1868) equation: Spectral nature between Mathieu's and Modified Mathieu's equation
Biswanath Rath
We derive Pythagoras theorem. From the Pythagoras theorem, we also derive Mathieu's equation via modified Mathieu's equation. A spectral com- parison has been carried out between m…
Nonlinear Oscillator Hamiltonian from Nonlinear Differential Equation and Calculation of Accurate Energy Levels
Biswanath Rath, P. Mallick
A new method for generating analytical expression of quantum Hamiltonian from non-linear differential equation with stationary energy level has been formulated.Further calculation…
Energy levels of an anharmonic oscillator in both weak and strong coupling limit using convergency of Morse-Feshbach non-linear perturbation series
Biswanath Rath, Pramoda Kumar Samal, Radhanath Mishra +1
We make an extensive rigorous study on convergent behaviour of Morse-Feshbach nonlinear perturbation series (MFNPS) to find out energy levels of the anharmonic oscillator (AHO) in…