Relativistic two-particle one-dimensional scattering problem for superposition of delta-potentials

Kapshaǐ, V. N.; Alferova, T.

doi:10.1088/0305-4470/32/28/311

Cited by 14 publications

(15 citation statements)

References 14 publications

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“…Actually, the function (0) 1 ( ) l V χ defined by relations (12) and (13) is everywhere continuous, and the function…”

Section: The Wave Function and Phase Shift Incrementsmentioning

confidence: 99%

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On the solution of the relativistic quasipotential equation for the superposition of a local potential and of the sum of nonlocal separable quasipotentials

Chernichenko

2011

Russ Phys J

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A solution has been found for the finite-difference quasipotential equation with the total quasi-potential that describes the interaction of two relativistic spinless particles of unequal mass. The total interaction, which is the superposition of a local potential and of the sum of nonlocal separable quasi-potentials, is centrally symmetric, does not depend on energy, and admits existence of true bound states. The treatment has been performed in the context of the relativistic quasipotential approach to quantum field theory. Exact expressions for the phase shift increments have been found and their properties have been investigated, the conditions for existence of bound states have been determined, and a generalization of the Levinson theorem is given.

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“…Actually, the function (0) 1 ( ) l V χ defined by relations (12) and (13) is everywhere continuous, and the function…”

Section: The Wave Function and Phase Shift Incrementsmentioning

confidence: 99%

“…The quasipotential approach [8] is still an efficient method of relativistic description of two-particle systems [9][10][11][12]. In the present work, the solution of a finite-difference quasipotential equation is investigated in the context of the relativistic quasipotential approach to quantum field theory [13].…”

Section: Introductionmentioning

confidence: 99%

On the solution of the relativistic quasipotential equation for the superposition of a local potential and of the sum of nonlocal separable quasipotentials

Chernichenko

2011

Russ Phys J

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“…Solutions of equation (1) with potential 0 ( ) ( ) V V ρ = δ ρ and with superpositions of potentials of this type are given elsewhere [7,8]. In this paper, we present the solutions of equation (1) with potentials of the form…”

Section: Solution Of a Relativistic Equation With A "Delta Function Nmentioning

confidence: 99%

“…To find exact solutions of this type of integral equations is a challenge; however, this problem can be solved for some potentials, for instance, by the generalized Frobenius method [6]. For the potentials that are superpositions of Dirac delta functions, these solutions [7,8] are similar to the corresponding nonrelativistic ones.…”

Section: Introductionmentioning

confidence: 99%

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Relativistic equations with some point potentials

Kapshaǐ

Grishechkin

2009

Russ Phys J

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War against the iodinated renal assault

Grollman

2003

Cathet Cardio Intervent

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Radiopaque contrast media for vascular imaging made its debut over 100 years ago. One month after Röntgen's discovery of X-ray, Haschek and Lindenthal [1] published an arteriogram of an amputated hand injected with a radiopaque medium composed of bismuth, lead, and barium salts. The first iodinated intravascular agent used in a living human was a 50% solution of sodium iodide for lower extremity angiography and reported by Brooks [2] in 1924. The toxicity and pain associated with intraarterial injection stimulated evaluation of other radiopaque agents. American urologist Moses Swick, who while a fellow in Berlin during the late 1920s investigated iodinated and arsenated derivatives of pyridine as antibiotics, developed the first iodinated organic radiopaque contrast medium [3,4]. He noted that the sodium salt of N-methyl-5-iodo-2-pyridone, a monoiodinated agent, was surprisingly nontoxic and excreted by the kidneys, allowing for the first time successful imaging of the urinary tract [5]. Thus began our iodinated assault on renal function. This contrast agent, the first of the iodinated pyridones, was marketed by Schering as Selectan and then Uroselectan, a modification [6]. They were quickly supplanted with a related di-iodinated agent Uroselectan B [3]. Multiple other variations of di-iodinated pyridones were also marketed, with Diodrast by

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Relativistic two-particle one-dimensional scattering problem for superposition of delta-potentials

Cited by 14 publications

References 14 publications

On the solution of the relativistic quasipotential equation for the superposition of a local potential and of the sum of nonlocal separable quasipotentials

On the solution of the relativistic quasipotential equation for the superposition of a local potential and of the sum of nonlocal separable quasipotentials

Relativistic equations with some point potentials

War against the iodinated renal assault

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