Results 61 to 70 of about 19,967,816 (378)
A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates [PDF]
We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum is real.
B. VAN DEN BOSSCHE +4 more
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Eigenvalue bounds for Schrödinger operators with complex potentials. II [PDF]
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrodinger operator −Δ+Vin L2(Rν) with complex potential has absolute value at most a constant times ∥V∥(γ+ν/2)/γγ+ν/2 for ...
Rupert L. Frank, Barry Simon
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The transfer matrix formalism is implemented in the form of the multiple collision technique to account for dissipative transmission processes by using complex potentials in several models of atomic chains.
Alberto Rodríguez +4 more
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A family of complex potentials with real spectrum [PDF]
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the combined effects of parity and time reversal transformation.
Alvarez G +14 more
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Biological potential of copper complexes: a review
This review comprises the inorganic compounds particularly metal coordinated complexes, as drugs play a relevant role in medicinal chemistry. It has been observed that copper complexes are potentially attractive as medicinal importance. In this review, the most remarkable achievements of copper complexes undertaken over the past few decades as ...
ASHRAF, Jamshaid, RIAZ, Muhammad Asad
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Parametric symmetries in exactly solvable real and PT symmetric complex potentials [PDF]
In this paper, we discuss the parametric symmetries in different exactly solvable systems characterized by real or complex PT symmetric potentials. We focus our attention on the conventional potentials such as the generalized Poschl Teller (GPT), Scarf-I,
R. Yadav +4 more
semanticscholar +1 more source
Zeros of eigenfunctions of some anharmonic oscillators [PDF]
We study eigenfunctions of Schrodinger operators -y"+Py on the real line with zero boundary conditions, whose potentials P are real even polynomials with positive leading coefficients.
Eremenko, Alexandre +2 more
core +8 more sources
Eigenvalue bounds for Dirac and fractional Schr\"odinger operators with complex potentials [PDF]
We prove Lieb-Thirring-type bounds for fractional Schr\"odinger operators and Dirac operators with complex-valued potentials. The main new ingredient is a resolvent bound in Schatten spaces for the unperturbed operator, in the spirit of Frank and Sabin.
Jean-Claude Cuenin
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Symmetry breaking of solitons in two-dimensional complex potentials. [PDF]
Symmetry breaking is reported for continuous families of solitons in the nonlinear Schrödinger equation with a two-dimensional complex potential. This symmetry breaking is forbidden in generic complex potentials. However, for a special class of partially
Jianke Yang
semanticscholar +1 more source
Potential theory on almost complex manifolds [PDF]
On almost complex manifolds the pseudo-holomorphic curves have been much more intensely studied than their “dual” objects, the plurisubharmonic functions. These functions are standardly defined by requiring that the restriction to each pseudo-holomorphic curve be subharmonic.
Harvey, F. Reese, Lawson, H. Blaine
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