U101: Lorentz Transformation

Author(s): TC	Library: KERNLIB
Submitter: J. Zoll	Submitted: 01.03.1968
Language: Fortran	Revised: 27.11.1984

This routine transforms momentum and energy of a particle from one Lorentz-frame to another.

Seen from the reference system , the other system has the velocity , with .

If a rest mass M is tied to system , with energy E and momentum , we have:

The momentum and energy of a particle with mass m is

: and

: and

Structure:

SUBROUTINE subprogram
User Entry Names: LOREN4

Usage:

    CALL LOREN4(S,A,X)

with the 4-vectors and calculates the transformed 4-vector .
LOREN4 contains one square-root to derive M from P and E.

Method:

If we split into components parallel and normal to , where

we can write the transformations as

and get