14 citations · 42 across the 5 of their papers we have counts for
11 papers
Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
Zachary Lewis, Ahmed Roman, Tatsu Takeuchi
We calculate the uncertainties in the position and momentum of a particle in the 1D potential V(x)=F|x|, F>0, when the position and momentum operators obey the deformed commutation…
Quantum Systems based upon Galois Fields: from Sub-quantum to Super-quantum Correlations
Lay Nam Chang, Zachary Lewis, Djordje Minic +1
In this talk we describe our recent work on discrete quantum theory based on Galois fields. In particular, we discuss how discrete quantum theory sheds new light on the foundations…
Quantum F_un: the q=1 Limit of Galois Field Quantum Mechanics, Projective Geometry, and the Field with One Element
Lay Nam Chang, Zachary Lewis, Djordje Minic +1
We argue that the q=1 limit of Galois Field Quantum Mechanics, which was constructed on a vector space over the Galois Field F_q=GF(q), corresponds to its `classical limit,' where…
Is Quantum Gravity a Super-Quantum Theory?
Lay Nam Chang, Zachary Lewis, Djordje Minic +1
We argue that quantum gravity should be a super-quantum theory, that is, a theory whose non-local correlations are stronger than those of canonical quantum theory. As a super-quant…
Some Mutant Forms of Quantum Mechanics
Tatsu Takeuchi, Lay Nam Chang, Zachary Lewis +1
We construct a `mutant' form of quantum mechanics on a vector space over the finite Galois field GF(q). We find that the correlations in our model do not violate the Clauser-Horne-…
Biorthogonal Quantum Mechanics: Super-Quantum Correlations and Expectation Values without Definite Probabilities
Lay Nam Chang, Zachary Lewis, Djordje Minic +1
We propose mutant versions of quantum mechanics constructed on vector spaces over the finite Galois fields GF(3) and GF(9). The mutation we consider here is distinct from what we p…