Consistent analogs of the Fourier uncertainty relation

American Journal of Physics

Volumn 69, Issue 10, 2001, Pages 1091-1095

  Fortes, G W ^a   Alonso, M A ^b  

^a MACQUARIE UNIVERSITY   (Australia)

^b INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035629463     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1383599     Document Type: Article

References (8)

1. G. W. Forbes and M. A. Alonso, "Measures of spread for periodic distributions and their associated uncertainty relation," Am. J. Phys. 69, 340-347 (2001).
2. A. Bandilla and H. Paul, "Laser amplifier and phase uncertainty," Ann. Phys. (Leipzig) 23, 323-333 (1969).
3. T. Opatrný, "Mean value and uncertainty in optical phase - a simple mechanical analogy," J. Phys. A 27, 7201-7208 (1994).
4. T. Opatrný, "Number-phase uncertainty relations," J. Phys. A 28, 6961-6975 (1995).
5. Equation (1.4) is used together with a generalization of Eq. (1.3) [see Eq. (4.3) of Ref. 1] in the derivation of the second relation in Eq. (1.6b).
6. j is to be finite.
7. A. Lukš and V. Peřinová, "Extended number state basis and number-phase intelligent states of light field. I. Mapping and operator ordering approach to quantum phase problem," Czech. J. Phys. 41, 1205-1230 (1991).
8. 0, we obtain the new, stronger inequality.