14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- California Institute of TechnologyUS243 papers
- University of FloridaUS242 papers
- Louisiana State UniversityUS240 papers
- Massachusetts Institute of TechnologyUS239 papers
- University of MichiganUS238 papers
- Columbia UniversityUS235 papers
- Goddard Space Flight CenterUS233 papers
- Stanford UniversityUS220 papers
- University of BirminghamGB220 papers
- Pennsylvania State UniversityUS219 papers
- University of Maryland, College ParkUS216 papers
- Hobart and William Smith CollegesUS214 papers
18 papers · 1 filter
Factorization of the Riesz-Feller fractional quantum harmonic oscillators
Haret C. Rosu, Stefan C. Mancas
Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romer…
The Covariant Stone-von Neumann Theorem for Actions of Abelian Groups on -Algebras of Compact Operators
Leonard Huang, Lara Ismert
In this paper, we formulate and prove a version of the Stone-von Neumann Theorem for every -dynamical system of the form , where …
Generalized Cornu-type spirals and their Darboux parametric deformations
H. C. Rosu, S. C. Mancas, C. C. Hsieh
We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also inv…
Stability analysis of orbital modes for a generalized Lane-Emden equation
Ronald Adams, Stefan C. Mancas, Haret C. Rosu
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some…
Riccati parametric deformations of the Cornu spiral
H C Rosu, S C Mancas, E. Flores-Garduno
A parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation related to the Fr…
Traveling wave solutions for wave equations with two exponential nonlinearities
S. C. Mancas, H. C. Rosu, M. Perez-Maldonado
We use a simple method that leads to the integrals involved in obtaining the traveling wave solutions of wave equations with one and two exponential nonlinearities. When the consta…
Stability of solitary and cnoidal traveling wave solutions for a fifth order Korteweg-de Vries equation
Ronald Adams, Stefan C. Mancas
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave solutions (cnoidal waves) for a Korteweg-de Vries (KdV) equation which includes a fift…
Two integrable classes of Emden-Fowler equations with applications in astrophysics and cosmology
S. C. Mancas, H. C. Rosu
We show that some Emden-Fowler (EF) equations encountered in astrophysics and cosmology belong to two EF integrable classes of the type d^2z/dχ^2=A χ^{-λ-2}z^n for λ=(n-1)/2 (class…
Barotropic FRW cosmologies with Chiellini damping in comoving time
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
For non-zero cosmological constant Lambda, we show that the barotropic FRW cosmologies as worked out in the comoving time lead in the radiation-dominated case to scale factors of i…
Existence of periodic orbits in nonlinear oscillators of Emden-Fowler form
S. C. Mancas, H. C. Rosu
The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden-Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for whic…
Barotropic FRW cosmologies with Chiellini damping
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
It is known that barotropic FRW equations written in the conformal time variable can be reduced to simple linear equations for an exponential function involving the conformal Hubbl…
One-parameter supersymmetric Hamiltonians in momentum space
Haret C. Rosu, Stefan C. Mancas, Pisin Chen
Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presen…
Ermakov-Lewis Invariants and Reid Systems
Stefan C Mancas, Haret C Rosu
Reid's m'th-order generalized Ermakov systems of nonlinear coupling constant alpha are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is di…
Shifted one-parameter supersymmetric family of quartic asymmetric double-well potentials
H. C. Rosu, S. C. Mancas, P. Chen
Extending our previous work (Rosu, Mancas, Chen, Ann.Phys. 343 (2014) 87-102), we define supersymmetric partner potentials through a particular Riccati solution of the form F(x)=(x…
One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
Haret C Rosu, Stefan C Mancas, Pisin Chen
In the context of supersymmetric quantum mechanics, we define a potential through a particular Riccati solution of the composition form, F(f(x)), and obtain a generalized Mielnik c…
Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping
Stefan C. Mancas, Haret C. Rosu
We introduce a special type of dissipative Ermakov-Pinney equations of the form v_{ζζ}+g(v)v_ζ+h(v)=0, where h(v)=h_0(v)+cv^{-3} and the nonlinear dissipation g(v) is based on the…
Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
Stefan C. Mancas, Haret C. Rosu
We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first…
Physical transformations between quantum states
Zejun Huang, Chi-Kwong Li, Edward Poon +1
Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of…