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A quantity which has magnitude only, and which acts, under Lorentz transformation, like a scalar but with a sign change under space reflection or time reflection, or both.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.



a quantity that remains the same under translation and rotation of the coordinate axes but that changes sign under inversion—that is, when the direction of each of the axes is reversed. An example of a pseudoscalar is the triple scalar product of three polar vectors. In general, the scalar product a.b of the pseudovector a and the polar vector b is a pseudoscalar. Other examples of pseudoscalars are the radius of torsion of a space curve and the static moment.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Here, [zeta] acquires a nonminimal kinetic term of the form [omega]([phi]) due to its interaction with [phi]([phi], [zeta] can be identified with the scalar dilaton field and the pseudoscalar axion field, respectively), while *[F.sup.[mu]v] = (1/2)[[epsilon].sup.[mu]v[kappa][lambda]][F.sub.[kappa][lambda]] is the Hodge-dual Maxwell field strength.
where [I.sub.AB] denotes the pseudoscalar forming the minimal subspace which contains A and B.
[38], electro-weak radiative corrections to scalar, pseudoscalar, and tensor interactions of any origin induce contributions to P,T-violating e - q interactions.
Roy, "Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials," Annals of Physics, vol.
Here, i is a pseudoscalar in geometric algebra of three dimensions [40], it commutes with all elements of the algebra and [i.sup.2] = -1.
1:00 PROBING LIGHT PSEUDOSCALAR, AXIAL VECTOR STATES THROUGH [[eta].sub.b] [right arrow] [[tau].sup.+] [[tau].sup.-]
Equation (2.5) demonstrates that a P-odd T-odd interaction does modify, as claimed in [6], the energy dependence of the P-odd asymmetry associated with the pseudoscalar [sigma] * [n.sub.[gamma]].
where the superscripts i and j refer to four operators in the effective Lagrangian given by (4) (the tensors related to the scalar and pseudoscalar operators can be understood through the relations given by (21) and (22)); in the SM, i = j corresponds to the operator [bar.p][[gamma].sub.[mu]] (1 - [[gamma].sub.5])b[bar.l][[gamma].sup.[mu]](1 - [[gamma].sub.5])[nu].
(The possibility of using a pseudoscalar factor is not discussed here because this work aims to examine the parity conserving electromagnetic interactions of a quantum mechanical particle.) It is shown below how these two requirements impose dramatic constraints on acceptable quantum mechanical equations of motion of a charged particle.
Here [psi] is a Majorana spinor field, S is a scalar field, and P is a pseudoscalar field.
where E, p, m, t and r are respectively energy, momentum, mass, time, space and the symbols [+ or -]1, [+ or -]i, [+ or -]i, [+ or -]j, [+ or -]k, [+ or -]i, [+ or -]j, [+ or -]k are used to represent the respective units required by the scalar, pseudoscalar, quaternion and multivariate vector groups.