ISSN:
0392-6737
Keywords:
Particle beams and particle optics
;
Propagation and transmission in homogeneous media
;
Quantum theory
;
quantum mechanics
;
Linear accelerators
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Summary We show that the well-known analogy between electromagnetic beam optics (EBO)_and relativistic-charged-particle beam optics (RCPBO) in paraxial approximation is deeper than it would usually appear in the literature. This analogy is understood by suggesting awave model of thermal nature for particle-beam propagation. This is done using a parabolic equation for awave function whose modulus squared is proportional to the number of particles per unitary transverse section, and the emittance represents the diffraction parameter as the wavelength in monochromatic EBO. Since the particle beam is described by a Schrödinger-like equation, we get a further formal analogy between RCPBO and nonrelativistic quantum mechanics (NQM). The emittance plays now the role corresponding to Planck's constant. The wave model for RCPBO is completely new and gives a formal unified description of RCPBO, EBO and NQM. This equivalence allows us, using quantum mechanics, to obtain in a simple way all the already known results of RCPBO. Furthermore, it provides in perspective a useful framework for a more accurate study of several applications, such as those in particle accelerators, in FEL and particle beam-plasma interaction.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02457189
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