Zafar Ahmed

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All published works
Action Title Year Authors
+ PDF Chat New Measurements of the Deuteron to Proton F2 Structure Function Ratio 2024 Debaditya Biswas
F. A. Gonzalez
William Henry
Abishek Karki
Casey Morean
Sooriyaarachchilage Nadeeshani
Abel Sun
D. Abrams
Zafar Ahmed
Bashar Aljawrneh
+ PDF Chat Bound state eigenvalues from transmission coefficients 2021 Zafar Ahmed
Koushik Bhattacharya
+ PDF Chat 105.25 Families of curves orthogonal to the lines <i>y = mx − 2m − m<sup>3</sup></i> 2021 Zafar Ahmed
Pallavi S. Telkar
+ PDF Chat An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms 2021 Sachin Kumar
Zafar Ahmed
+ Scattering states and bound states of exponential potentials 2021 Zafar Ahmed
H. F. Jones
+ Low reflection at zero or low-energies in the well-barrier scattering potentials 2020 Zafar Ahmed
Sachin Kumar
Dhruv Sharma
+ PDF Chat Solvable model of bound states in the continuum (BIC) in one dimension 2019 Zafar Ahmed
Sachin Kumar
D. C. Ghosh
Tarit Goswami
+ Expectation value of $p^6$ in continuous two-piece symmetric potential wells 2019 Zafar Ahmed
Sachin Kumar
+ Bloated square well: Symmetric Fermi-type potential 2019 Zafar Ahmed
Sachin Kumar
Tarit Goswami
Sarthak Hajirnis
+ Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)] 2019 Zafar Ahmed
Sachin Kumar
A. Baishya
+ Symmetric Fermi-type potential 2019 Zafar Ahmed
Sachin Kumar
Tarit Goswami
Sarthak Hajirnis
+ PDF Chat Three types of discrete energy eigenvalues in complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> -symmetric scattering potentials 2018 Zafar Ahmed
Sachin Kumar
D. C. Ghosh
+ PDF Chat Divergence of $\langle {p}^{6}\rangle $ in discontinuous potential wells 2018 Zafar Ahmed
Sachin Kumar
D. C. Ghosh
Joseph Amal Nathan
+ PDF Chat Coherent scattering from semi-infinite non-Hermitian potentials 2018 Zafar Ahmed
D. C. Ghosh
Sachin Kumar
+ PDF Chat Coalescing Versus Merging of Energy Levels in One-Dimensional Potentials 2018 Zafar Ahmed
Sachin Kumar
Achint Kumar
Mohammad Irfan
+ Expectation values of $p^2$ and $p^4$ in the square well potential 2018 Zafar Ahmed
D. C. Ghosh
Sachin Kumar
Joseph Amal Nathan
+ Pearson's correlation coefficient in the theory of networks: A comment 2018 Zafar Ahmed
Sachin Kumar
+ PDF Chat NEW SPECTRAL STATISTICS FOR ENSEMBLES OF 2 × 2 REAL SYMMETRIC RANDOM MATRICES 2017 Sachin Kumar
Zafar Ahmed
+ PDF Chat Solvable models of an open well and a bottomless barrier: one-dimensional exponential potentials 2017 Zafar Ahmed
D. C. Ghosh
Sachin Kumar
Nihar Turumella
+ PDF Chat Pseudosymmetric random matrices: Semi-Poisson and sub-Wigner statistics 2017 Sachin Kumar
Zafar Ahmed
+ PDF Chat The paradoxical zero reflection at zero energy 2016 Zafar Ahmed
Vibhu Sharma
Mayank Sharma
Ankush Singhal
Rahul Kaiwart
Pallavi Priyadarshini
+ PDF Chat Revisiting double Dirac delta potential 2016 Zafar Ahmed
Sachin Kumar
Mayank Sharma
Vibhu Sharma
+ PDF Chat Bound state eigenfunctions need to vanish faster than $| x{| }^{-3/2}$ 2016 Zafar Ahmed
+ Hermitian Hamiltonians: Matrix versus Schr${ö}$dinger's 2016 Zafar Ahmed
Ankush Singhal
Achint Kumar
Mohammad Irfan
+ Supersymmetric partner potentials arising from nodeless half bound states 2016 Zafar Ahmed
Dhruv Sharma
Rahul Kaiwart
Mohammad Irfan
+ PDF Chat Accidental crossings of eigenvalues in the one-dimensional complex PT-symmetric Scarf-II potential 2015 Zafar Ahmed
D. C. Ghosh
Joseph Amal Nathan
Gaurang Parkar
+ PDF Chat New shape resonances in one dimension 2015 Zafar Ahmed
Shashin Pavaskar
Lakshmi Prakash
+ PDF Chat A new solvable complex PT-symmetric potential 2015 Zafar Ahmed
D. C. Ghosh
Joseph Amal Nathan
+ Avoided crossings of energy levels in one-dimension 2015 Zafar Ahmed
Shashin Pavaskar
Dhruv Sharma
Lakshmi Prakash
+ Real discrete spectrum in the complex non-PT-symmetric Scarf II potential 2014 Zafar Ahmed
Joseph Amal Nathan
+ PDF Chat Position-momentum uncertainty products 2014 Zafar Ahmed
Indresh Yadav
+ Finding position-momentum uncertainty product for two special eigenstates 2014 Zafar Ahmed
Indresh Yadav
+ Special rectangular (double-well and hole) potentials 2014 Zafar Ahmed
Tanayveer Singh Bhatia
Shashin Pavaskar
Achint Kumar
+ One dimensional scattering from two-piece rising potentials: a new avenue of resonances 2014 Zafar Ahmed
Shashin Pavaskar
Lakshmi Prakash
+ Transparency of the PT-symmetric complex potentials for coherent injection 2014 Zafar Ahmed
Joseph Amal Nathan
D. C. Ghosh
+ Non-catastrophic resonant states in one dimensional scattering from a rising exponential potential 2014 Zafar Ahmed
Lakshmi Prakash
Shashin Pavaskar
+ Anti-symmetric square well and barrier potential between two rigid walls 2014 Zafar Ahmed
Shashin Pavaskar
Indresh Yadav
Tanayveer Bhatia
+ Non-unitarity and non-reciprocity in scattering from real potentials in presence of confined non-linearity 2013 Zafar Ahmed
+ PT-symmetry and Transparency 2013 Zafar Ahmed
+ PDF Chat Spectral singularity and reflectionlessness in non-Hermitian (complex) Ginocchio potential 2012 Ananya Ghatak
Joseph Amal Nathan
Bhabani Prasad Mandal
Zafar Ahmed
+ Transmission through a non-overlapping well adjacent to a finite barrier 2011 Zafar Ahmed
+ PDF Chat A NOTE ON COULOMB SCATTERING AMPLITUDE 2007 Zafar Ahmed
+ An Integral Three Ways: 11000 2004 G. L. Lamb
Cornelius Stallmann
Gerald L. Thompson
Zafar Ahmed
O.P. Lossers
+ PDF Chat Number of quantal resonances 2004 Zafar Ahmed
Sudhir R. Jain
+ PDF Chat <i>C</i>-,<i>PT</i>- and<i>CPT</i>-invariance of pseudo-Hermitian Hamiltonians 2003 Zafar Ahmed
+ PDF Chat P-, T-, PT-, and CPT-invariance of Hermitian Hamiltonians 2003 Zafar Ahmed
+ Gaussian ensemble of 2 2 pseudo-Hermitian random matrices 2003 Zafar Ahmed
Sudhir R. Jain
+ A note on Coulomb scattering amplitude 2003 Zafar Ahmed
+ A practice problem for Schr{ö}dinger transmission 2003 Zafar Ahmed
+ Some Aspects of Scattering in (Non) Commutative Gauge Theories 2002 Zafar Ahmed
Tapobrata Sarkar
+ Schrödinger transmission through one-dimensional complex potentials 2001 Zafar Ahmed
+ A Difference of Square Roots: 10806 2001 Hassan Ali Shah Ali
Keith A. Kearnes
Agnes Szenderei
Zafar Ahmed
M. A. Prasad
GCHQ Problems Group
+ A Family of Integrals: 10777 2000 Zafar Ahmed
Peter M. Jarvis
+ A Cubic Spherical Integral: 10771 2000 Mowaffaq Hajja
P. W. Walker
Danny Arrigo
Xiaoshen Wang
Zafar Ahmed
+ PDF Chat Brownian motion model of random matrices revisited 2000 Sudhir R. Jain
Zafar Ahmed
+ Random matrix model for disordered conductors 2000 Zafar Ahmed
Sudhir R. Jain
+ The Variance of Logarithms: 10690 2000 Robert L. Helmbold
Wook Kim
R. A. Agnew
Zafar Ahmed
S. Amghibech
Kenneth F. Andersen
Peter J. Anderson
Geoffrey C. Bower
B. S. Burdick
Rebecca Chapman
+ Brownian motion model of random matrices revisited 1998 Sudhir R. Jain
Zafar Ahmed
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry 1998 Carl M. Bender
Stefan Boettcher
9
+ PDF Chat Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at Real Energies 2009 Alí Mostafazadeh
6
+ Schrödinger transmission through one-dimensional complex potentials 2001 Zafar Ahmed
6
+ PDF Chat Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian 2002 Alí Mostafazadeh
6
+ PDF Chat New features of scattering from a one-dimensional non-Hermitian (complex) potential 2011 Zafar Ahmed
6
+ PDF Chat Handedness of complex PT-symmetric potential barriers 2004 Zafar Ahmed
6
+ PDF Chat Zero width resonance (spectral singularity) in a complex<i>PT</i>-symmetric potential 2009 Zafar Ahmed
6
+ PDF Chat Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum 2002 Alí Mostafazadeh
5
+ PDF Chat sl(2, ) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues 2000 Bijan Bagchi
C. Quesne
5
+ PDF Chat An update on the \cal PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally extended supersymmetric partners 2010 Bijan Bagchi
C. Quesne
5
+ PDF Chat GENERALIZED CONTINUITY EQUATION AND MODIFIED NORMALIZATION IN PT-SYMMETRIC QUANTUM MECHANICS 2001 Bijan Bagchi
C. Quesne
Miloslav Znojil
5
+ PDF Chat Coherent Perfect Absorbers: Time-Reversed Lasers 2010 Y. D. Chong
Li Ge
Hui Cao
A. Douglas Stone
5
+ Handbook of Mathematical Functions 2018 4
+ PDF Chat Real discrete spectrum in the complex non-PT-symmetric Scarf II potential 2015 Zafar Ahmed
Joseph Amal Nathan
4
+ PDF Chat Playing Quantum Physics Jeopardy with zero-energy eigenstates 2006 L. P. Gilbert
Mario Belloni
M. A. Doncheski
R. W. Robinett
4
+ PDF Chat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric laser absorber 2010 Stefano Longhi
4
+ PDF Chat A new<i>PT</i>-symmetric complex Hamiltonian with a real spectrum 1999 Bijan Bagchi
Rajkumar Roychoudhury
4
+ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems 2011 Y. D. Chong
Li Ge
A. Douglas Stone
4
+ PDF Chat Pseudounitary symmetry and the Gaussian pseudounitary ensemble of random matrices 2003 Zafar Ahmed
Sudhir R. Jain
4
+ PDF Chat Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials 2001 Zafar Ahmed
4
+ PDF Chat Reflectionless potentials and symmetry 2005 Zafar Ahmed
Carl M. Bender
Michael Berry
4
+ Handbook of Mathematical Functions 1966 Donald A. McQuarrie
4
+ PDF Chat Position-momentum uncertainty products 2014 Zafar Ahmed
Indresh Yadav
3
+ PDF Chat −symmetric harmonic oscillators 1999 Miloslav Znojil
3
+ PDF Chat Invisibility and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>symmetry 2013 Alí Mostafazadeh
3
+ Orthogonal Polynomials 1939 Gábor Szegő
3
+ PDF Chat Space of state vectors in 𝒫𝒯-symmetric quantum mechanics 2002 G. S. Japaridze
3
+ Gaussian ensemble of 2 2 pseudo-Hermitian random matrices 2003 Zafar Ahmed
Sudhir R. Jain
3
+ PDF Chat A PT-invariant potential with complex QES eigenvalues 2000 Avinash Khare
Bhabani Prasad Mandal
3
+ Derivation of Exact Spectra of the Schrodinger Equation by Means of Supersymmetry 1984 L. É. Gendenshteǐn
3
+ PDF Chat Phase transition through the splitting of self-dual spectral singularity in optical potentials 2017 V. V. Konotop
Dmitry A. Zezyulin
3
+ Handbook of Mathematical Functions 1972 Milton Abramowitz
I. A. Stegun
3
+ PDF Chat Coherent perfect absorption with and without lasing in complex potentials 2014 Zafar Ahmed
3
+ PDF Chat Orthogonal Polynomials 1971 3
+ PDF Chat Scattering in PT-symmetric quantum mechanics 2007 F. Cannata
Jean-Pierre Dedonder
A. Ventura
2
+ PDF Chat Nonlinear waves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric systems 2016 V. V. Konotop
Jianke Yang
Dmitry A. Zezyulin
2
+ PDF Chat The paradoxical zero reflection at zero energy 2016 Zafar Ahmed
Vibhu Sharma
Mayank Sharma
Ankush Singhal
Rahul Kaiwart
Pallavi Priyadarshini
2
+ PDF Chat Complex Extension of Quantum Mechanics 2002 Carl M. Bender
Dorje C. Brody
H. F. Jones
2
+ PDF Chat Spacing distributions for rhombus billiards 1998 Benoît Grémaud
Sudhir R. Jain
2
+ Exponential Ensemble for Random Matrices 1965 Burt V. Bronk
2
+ Handbook of Mathematical Functions. 1966 Juliette Florentin
Milton Abramowitz
Irene A. Stegun
2
+ Spectral Transform and Solitons 1983 F. Calogero
2
+ PDF Chat Solvable models of an open well and a bottomless barrier: one-dimensional exponential potentials 2017 Zafar Ahmed
D. C. Ghosh
Sachin Kumar
Nihar Turumella
2
+ PDF Chat An ansatz for the eigenstates in -symmetric quantum mechanics 2006 Zafar Ahmed
2
+ Nonuniversal correlations for random matrix ensembles 1993 Taro Nagao
Keith Slevin
2
+ PDF Chat Unidirectional Invisibility Induced by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Periodic Structures 2011 Zin Lin
Hamidreza Ramezani
Toni Eichelkraut
Tsampikos Kottos
Hui Cao
Demetrios N. Christodoulides
2
+ PDF Chat Complex optical potentials and pseudo-Hermitian Hamiltonians 2003 Ram Narayan Deb
Avinash Khare
Binayak Dutta Roy
2
+ PDF Chat Spectral singularities and Bragg scattering in complex crystals 2010 Stefano Longhi
2
+ PDF Chat Weak pseudo-Hermiticity and antilinear commutant 2002 L. Solombrino
2
+ A Class of Matrix Ensembles 1972 Freeman J. Dyson
2