Absence of Klein’s paradox for massive bosons coupled by nonminimal vector interactions

A few properties of the nonminimal vector interactions in the Duffin–Kemmer–Petiau theory are revised. In particular, it is shown that the space component of the nonminimal vector interaction plays a peremptory role for confining bosons, whereas its time component contributes to the leakage. Scattering in a square step potential with proper boundary conditions is used to show that Klein’s paradox is not manifested in the case of a nonminimal vector coupling.

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Effects of vector coupling on chiral and color-superconducting phase transitions - interplay among the scalar, pairing and vector interaction

Nuclear Physics A ◽

10.1016/s0375-9474(03)01052-2 ◽

2003 ◽

Vol 721 ◽

pp. C289-C292 ◽

Cited By ~ 1

Author(s):

M. Kitazawa ◽

T. Koide ◽

T. Kunihiro ◽

Y. Nemoto

Keyword(s):

Phase Transitions ◽

Superconducting Phase ◽

Vector Coupling ◽

Vector Interaction

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The spin-one DKP equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum

Modern Physics Letters A ◽

10.1142/s0217732321500218 ◽

2020 ◽

pp. 2150021

Author(s):

B. Hamil ◽

B. C. Lütfüoğlu ◽

H. Aounallah

Keyword(s):

Energy Spectrum ◽

Bound States ◽

Space Representation ◽

Position Space ◽

Vector Coupling ◽

Dkp Equation ◽

Vector Interaction ◽

Coupling Parameters

In this work, we consider the relativistic Duffin–Kemmer–Petiau equation for spin-one particles with a nonminimal vector interaction in the presence of minimal uncertainty in momentum. By using the position space representation, we exactly determine the bound-states spectrum and the corresponding eigenfunctions. We discuss the effects of the deformation and nonminimal vector coupling parameters on the energy spectrum analytically and numerically.

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Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100068795 ◽

1970 ◽

Vol 28 ◽

pp. 360-361

Author(s):

John W. Coleman

Keyword(s):

Boundary Conditions ◽

High Performance ◽

Force Fields ◽

Optical Design ◽

Direct Conversion ◽

Design Engineering ◽

Design Data ◽

Scalar Potentials ◽

Geometric Elements ◽

At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

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