scholarly journals Bound states of relativistic particles in Rosen-Morse potential

2004 ◽  
Vol 53 (3) ◽  
pp. 684
Author(s):  
Chen Gang
Keyword(s):  
Morse Potential ◽  
Bound States ◽  
Relativistic Particles

scholarly journals Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Fernando Romero-López ◽  
Stephen R. Sharpe ◽  
Tyler D. Blanton ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Numerical Exploration ◽  
Relativistic Particles

scholarly journals Investigation of DNA denaturation from generalized Morse potential

2018 ◽  
Vol 3 (2) ◽  
Author(s):  
R. El Kinani ◽  
H. Kaidi ◽  
M. Benhamou
Keyword(s):  
Morse Potential ◽  
Bound States ◽  
Analytical Study ◽  
Free Energy Density ◽  
Exact Expression ◽  
Dna Denaturation ◽  
Denaturation Temperature ◽  
Finite Distance ◽  
The Mean ◽  
Generalized Morse Potential

In this paper, we present a non-linear model for the study of DNA denaturation transition. To this end, we assume that the double-strands DNA interact via a realistic generalized Morse potential that reproduces well the features of the real interaction. Using the Transfer Matrix Method, based on the resolution of a Schrödinger equation, we first determine exactly their solution, which are found to be bound states. Second, from an exact expression of the ground state, we compute the denaturation temperature and the free energy density, in terms of the parameters of the potential.Then, we calculate the contact probability, which is the probability to find the double-strands at a (finite) distance apart, from which we determine the behaviour of the mean-distance between DNA-strands.The main conclusion is that, the present analytical study reveals that the generalized Morse potential is a good candidate for the study of DNA denaturation

Bound states of relativistic particles in the generalized symmetrical double-well potential

2005 ◽  
Vol 337 (3) ◽  
pp. 189-196 ◽  
Author(s):  
Xing-Qiang Zhao ◽  
Chun-Sheng Jia ◽  
Qiu-Bo Yang
Keyword(s):  
Bound States ◽  
Double Well Potential ◽  
Relativistic Particles

scholarly journals Bound states of relativistic particles in the second P?schl-Teller potentials

2006 ◽  
Vol 55 (2) ◽  
pp. 525
Author(s):  
Zhang Min-Cang ◽  
Wang Zhen-Bang
Keyword(s):  
Bound States ◽  
Relativistic Particles

scholarly journals QUANTUM MECHANICS IN NONINERTIAL FRAMES WITH A MULTITEMPORAL QUANTIZATION SCHEME II: NONRELATIVISTIC PARTICLES

2006 ◽  
Vol 21 (19n20) ◽  
pp. 3917-3945 ◽  
Author(s):  
DAVID ALBA
Keyword(s):  
Quantum Mechanics ◽  
Bound States ◽  
Center Of Mass ◽  
Quantization Scheme ◽  
Unitary Evolution ◽  
Classical Level ◽  
Noninertial Effects ◽  
Special Cases ◽  
Relativistic Particles

The nonrelativistic version of the multitemporal quantization scheme of relativistic particles in a family of noninertial frames (see Ref. 1) is defined. At the classical level the description of a family of nonrigid noninertial frames, containing the standard rigidly linear accelerated and rotating ones, is given in the framework of parametrized Galilei theories. Then the multitemporal quantization, in which the gauge variables, describing the noninertial effects, are not quantized but considered as c-number generalized times, is applied to nonrelativistic particles. It is shown that with a suitable ordering there is unitary evolution in all times and that, after the separation of the center-of-mass, it is still possible to identify the inertial bound states. The few existing results of quantization in rigid noninertial frames are recovered as special cases.

DISCRETE "STRINGS" AND GAUGE MODEL OF THREE CONFINED RELATIVISTIC PARTICLES

1992 ◽  
Vol 07 (15) ◽  
pp. 3639-3663 ◽  
Author(s):  
A. T. FILIPPOV ◽  
D. GANGOPADHYAY ◽  
A. P. ISAEV
Keyword(s):  
Bosonic Strings ◽  
Path Integral ◽  
Bound States ◽  
Hamiltonian Formulation ◽  
Vacuum State ◽  
Gauge Model ◽  
Chiral Structure ◽  
Gauge Models ◽  
Regge Trajectories ◽  
Relativistic Particles

An approach to quantizing discrete gauge models resembling bosonic strings in the Hamiltonian formulation is described. The case of three particles endowed with chiral structure and incorporating the symmetry T1 ⊗ Sl (2, R)_ ⊗ Sl (2, R)_ is analyzed both in the path-integral and operator formulations. The propagator, spectrum, vacuum state and Regge trajectories are determined. The Regge trajectories are linearly rising and the spectrum is similar to one for discretized bosonic strings in space–time dimensions D ≥ 4. Possible applications to both nonperturbative string theory and bound states of relativistic quarks are outlined.

BOUND STATES OF RELATIVISTIC PARTICLES AND REGGE TRAJECTORIES WITHIN THE POTENTIAL APPROACH

1990 ◽  
Vol 05 (29) ◽  
pp. 2439-2445
Author(s):  
A. A. BYKOV ◽  
A. D. MIRONOV ◽  
I. I. ROYZEN
Keyword(s):  
Energy Spectrum ◽  
Bound States ◽  
Gordon Equation ◽  
Light Quark ◽  
Potential Approach ◽  
Regge Trajectories ◽  
Quark System ◽  
Klein Gordon ◽  
Relativistic Particles ◽  
Klein Gordon Equation

The accuracy of potential description of bound states of relativistic particles is estimated. The rough potential for two-spinless light-quark system is suggested in the framework of the Klein-Gordon equation. The general properties of energy spectrum are outlined analytically and numerical calculations of quite realistic Regge trajectories are presented. The magnitude of spin corrections is discussed phenomenologically.

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