Particle rest mass and the de Broglie wave packet

1981 ◽  
Vol 31 (2) ◽  
pp. 37-38 ◽  
Author(s):  
L. Mackinnon
1998 ◽  
Vol 246 (1-2) ◽  
pp. 7-15 ◽  
Author(s):  
Masahiko Utsuro ◽  
V.K. Ignatovich

1999 ◽  
Author(s):  
Masahiko Utsuro ◽  
Vladimir K. Ignatovich ◽  
Peter W. Geltenbort ◽  
Th. Brenner ◽  
J. Butterworth ◽  
...  

1978 ◽  
Vol 8 (3-4) ◽  
pp. 157-176 ◽  
Author(s):  
L. Mackinnon
Keyword(s):  

2018 ◽  
Vol 1 (2) ◽  
pp. 1
Author(s):  
Fima Ardianto Putra

A simple analysis using differential calculus has been done to consider the minimum limit of the Heisenberg uncertainty principle in the relativistic domain. An analysis is made by expressing the form of and based on the Lorentz transformation, and their corresponding relation according to the de Broglie wave packet modification. The result shows that in the relativistic domain, the minimum limit of the Heisenberg uncertainty is p x ?/2 and/or E t ?/2, with is the Lorentz factor which depend on the average/group velocity of relativistic de Broglie wave packet. While, the minimum limit according to p x ?/2 or E t ?/2, is the special case, which is consistent with Galilean transformation. The existence of the correction factor signifies the difference in the minimum limit of the Heisenberg uncertainty between relativistic and non-relativistic quantum. It is also shown in this work that the Heisenberg uncertainty principle is not invariant under the Lorentz transformation. The form p x ?/2 and/or E t ?/2 are properly obeyed by the Klein-Gordon and the Dirac solution. Key words: De Broglie wave packet, Heisenberg uncertainty, Lorentz transformation, and minimum limit.


2000 ◽  
Author(s):  
Vladimir K. Ignatovich ◽  
Filipp V. Ignatovitch

Quanta ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 93
Author(s):  
Mani L. Bhaumik

<p>A satisfactory explanation of the confounding wave-particle duality of matter is presented in terms of the reality of the wave nature of a particle. In this view, a quantum particle is an objectively real wave packet consisting of irregular disturbances of underlying quantum fields. It travels holistically as a unit and thereby acts as a particle. Only the totality of the entire wave packet at any instance embodies all the conserved quantities, for example the energy-momentum, rest mass, and charge of the particle, and as such must be acquired all at once during detection. On this basis, many of the bizarre behaviors observed in the quantum domain, such as wave function collapse, the limitation of prediction to only a probability rather than an actuality, the apparent simultaneous existence of a particle in more than one place, and the inherent uncertainty can be reasonably comprehended. The necessity of acquiring the wave function in its entirety for detection, as evinced by the appearance of collapse of the wave function, supports the paradigm of reality of the wave function described here.</p><p>Quanta 2016; 5: 93–100.</p>


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