Minimum uncertainty wave packet in relativistic quantum mechanics
In nonrelativistic quantum mechanics in one dimension a wave packet can be constructed for which the minimum uncertainty relation for position and momentum, Δ x Δ p = ℏ / 2 , holds exactly. The wave function of the wave packet is Gaussian and satisfies the Schrödinger equation for a harmonic oscilla...
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| Veröffentlicht in: | American journal of physics 2010-02, Vol.78 (2), p.176-180 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In nonrelativistic quantum mechanics in one dimension a wave packet can be constructed for which the minimum uncertainty relation for position and momentum,
Δ
x
Δ
p
=
ℏ
/
2
, holds exactly. The wave function of the wave packet is Gaussian and satisfies the Schrödinger equation for a harmonic oscillator potential. We illustrate a similar situation in relativistic quantum mechanics for the one-dimensional Dirac equation. |
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| ISSN: | 0002-9505 1943-2909 |
| DOI: | 10.1119/1.3238469 |