Simultaneous measurement of coordinate and momentum on a von Neumann lattice (2008)
It is shown that on a finite phase plane the $kq$-coordinates and the sites of a von Neumann lattice are conjugate to one another. This elementary result holds when the number $M$ defining the size...
press. The neuroeconomics of distrust: sex differences in behavior and physiology (2008)
J. Zak, Karla Borja, William T. Matzner, Robert Kurzban
Trust is an essential component of transactions that occur over time. The amount of trust accorded to others is typically conditioned on multiple factors, including knowledge of the other party, the...
Schebek, L., [Hrsg.], Starzner, S., Wurmer-Weiss, P., Graubner, C.A., Schneider, C., ...
Studie im Rahmen des Forschungsvorhabens FKZ 01 RN 0401 (März 2007)
Factorizations and Physical Representations (2005)
Revzen, M., Khanna, F. C., Mann, A., Zak, J.
A Hilbert space in M dimensions is shown explicitly to accommodate representations that reflect the prime numbers decomposition of M. Representations that exhibit the factorization of M into two...
Physics of Factorization (2005)
The N distinct prime numbers that make up a composite number M allow $2^{N-1}$ bi partioning into two relatively prime factors. Each such pair defines a pair of conjugate representations. These pairs...
Paterson, Scott R, Vernon, R. H, Zak, J
Examination of K-feldspar megacrysts in the Tuolumne batholith (TB), Sierra Nevada, California, USA, indicates that they grew from melts, rather than metasomatically. During K-feldspar growth, local...
Sramek, V, Masek, M, Chalupnik, S, Zak, J, Suk, P, Zvonickova, D, ...
No abstract available.
Entropy on the von Neumann lattice and its evaluation (2002)
Based on the recently introduced averaging procedure in phase space, a new type of entropy is defined on the von Neumann lattice. This quantity can be interpreted as a measure of uncertainty...
Quantum mechanics in one band of a solid (1981)
The Bravais lattice operator and the quasimomentum are shown to form a complete set of conjugate operators in one band of a solid.
Louw, J A, Falck, V, Van Rensburg, C, Zak, J, Adams, G, Marks, I N
AIMS--To determine the gastric distribution of Helicobacter pylori in patients with duodenal and gastric ulcers; and to examine the mucosal inflammatory response. METHODS--Patients with newly...
Intestinal tuberculosis: an ongoing diagnostic dilemma.
Lingenfelser, T, Adams, G, Steyn, E, Zak, J, Sole, T, Marks, I N
Louw, J A, Falck, V, Van Rensburg, C, Zak, J, Adams, G, Marks, I N
AIMS--To determine the gastric distribution of Helicobacter pylori in patients with duodenal and gastric ulcers; and to examine the mucosal inflammatory response. METHODS--Patients with newly...