Izvorni znanstveni članak
On approximate Lorentz transformations of the first and second orders
V. N. Strel'tsov
; Laboratory of High Energies, Joint Institute for Nuclear Research, Dubna, USSR
Sažetak
Approximate Lorentz transformations of the first ((c-2)0) (Galilean transformations) and second (c-2) (x = (x' + βct') (1 + β2/2), t =t' (1 + β2/2) + βx'/C) orders are considered. It is emphasized that in a first approximation the transformation formula for energy takes the form E = E'. The corresponding transformations for covariant coordinates (covariant transformations) are considered as well; they coincide with space-like ones which follow from the Lorentz transformations if ct ≈ β x. It is shown that only based on the 1st order covariant transformations one can obtain the known transformation formulae for probability density (q = q') and position operator (X = X'). The group properties of the 1st order covariant transformations (Galilean covariant group) are discussed. A particular role of the 2nd order covariant transformations is emphasized when the questions on the invariance of nonrelativistic equations in physics are under consideration.
Ključne riječi
Hrčak ID:
327786
URI
Datum izdavanja:
6.7.1975.
Posjeta: 168 *