This post is the online version of the write-up of the contributed talk I gave at the Time and Matter Colloquium held at Venice on August 11-17, 2002 at the Venice International University. It is part of the proceedings of the Colloquim published by World Scientific. Abstract Pauli’s theorem asserts that the canonical commutation relation… Read More »
Traditionally the quantum time problem is the question Is time a parameter or an observable in quantum mechanics? The essence of a parameter is that it is a label describing the state of a given system. On the other hand, the essence of a quantum observable is that it is a property of a quantum… Read More »
We demonstrate that the quantum corrections to the classical arrival time for a quantum object in a potential free region of space, as computed by Galapon [Phys. Rev. A {\bf 80}, 030102(R) (2009)], can be eliminated up to a given order of ℏ by choosing an appropriate position-dependent phase for the object’s wavefunction. This then… Read More »
One of the modern books in quantum mechanics that I highly recommend to anyone is the book by the late Asher Peres—Quantum Theory: Concepts and Methods. Peres was one of the leading researchers in the foundations of quantum mechanics and a pioneer in quantum information theory. His keen understanding of quantum mechanics is clearly manifested… Read More »
How long does it take for a message to be delivered? Everyday experience tells us that in order for a message to arrive quicker, we just need a faster messenger. Considering special relativity and quantum mechanics, however, introduces further complications. If we consider the message to be carried by particles, special relativity imposes a minimum… Read More »