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Energy‐particle‐number inequality in nonlinear complex‐scalar field theory
Journal article   Peer reviewed

Energy‐particle‐number inequality in nonlinear complex‐scalar field theory

Gerald Rosen
Journal of mathematical physics, v 22(3), pp 489-490
Mar 1981

Abstract

FIELD THEORIES SELF−ENERGY ENERGY DENSITY LAGRANGIAN FUNCTION
For a self‐interaction energy density U(‖ψ‖2) that is positive‐definite, monotone‐increasing with increasing ‖ψ‖2, and concave‐saturating, it is shown that the total field energy E and particle number N satisfy the general inequality E⩾ (function of ξ) ‖N‖(3−ξ)/2(2−ξ) in which the positive parameter ξ≡min [dlnU( ρ)/dlnρ] is less than unity.

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Web of Science research areas
Physics, Mathematical
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