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The SO4-Invariant Solutions of the λφ4 Theory

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Elementary Particle Physics

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 9/1972))

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Abstract

Three facts motivate the investigation of the SO4 invariant solutions of the classcal λØ4 theory:

  1. 1)

    This class of solutions can be interpreted physically, since these wave packets have finite enery and momentum.

  2. 2)

    The solutions with the greatest symmetry usually from the ground state of a theory, as in the case under consideration, they correspond closely to the ground state n=1 of the hydrogen atom.

  3. 3)

    There exist about a dozen mathematical paers on the global properties of the solutions of this field equation.

Seminar given at XI. Internationale Universitätswochen für Kernphysik, Schladming, February 21 – March 4, 1972.

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References

  1. L. Castell, Nuci. Phys. B13, 231 (1969).

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  2. L. Castell, “Exact Solutions of the)44 Theory”, Jan. 1972, submitted to Physical Review D.

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© 1972 Springer-Verlag Wien

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Castell, L. (1972). The SO4-Invariant Solutions of the λφ4 Theory. In: Urban, P. (eds) Elementary Particle Physics. Acta Physica Austriaca, vol 9/1972. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4034-5_24

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  • DOI: https://doi.org/10.1007/978-3-7091-4034-5_24

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-4036-9

  • Online ISBN: 978-3-7091-4034-5

  • eBook Packages: Springer Book Archive

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