A Discussion on Heisenberg Uncertainty Principle in the Picture of Special Relativity

Sibel Başkal, Young Suh Kim, Marilyn E. Noz

Gerald Pellegrini

Luca Nanni

In this note, we consider the implications of the Heisenberg uncertainty principle (HUP) when computing uncertainties that affect the main dynamical quantities, from the perspective of special relativity. Using the well-known formula for propagating statistical errors, we prove that the uncertainty relations between the moduli of conjugate observables are not relativistically invariant. The new relationships show that, in experiments involving relativistic particles, limitations of the precision of a quantity obtained by indirect calculations may affect the final result.

S. Srivastava

The differential and integral forms of Indeterminacy principle or Heisenberg Uncertainty principle have been described in this paper. The uncertainty in the measurement of ∆E is not only due to the measurement of ∆t and h but is also due to quantization factor Q. We have discussed Order-Disorder Transformation, Differential and Integral forms of Indeterminacy principle (Quantum Theory of Uncertainty principle), Quantum Representation and Action Quantization Process in details. We have used the Order- Disorder concept and established that the Heisenberg Uncertainty principle may be evaluated from Order- Disorder Transformation, i.e., Heisenberg Uncertainty principle is the special case of Order- Disorder Transformation. It may be pointed out that our modification of Uncertainty relation is consistent with the results in the range of variables where the modified relationship is valid.

Pavle Ilija Premović

B. Kivel