activity
20082024
most citedSolution of a Linearized Model of Heisenberg's Fundamental Equation II

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

quant-ph2024

On balanced homodyne measurement -- simple proof of wave function collapse

Erwin Brüning, Shigeaki Nagamachi

Using only elementary calculus we prove that the balanced homodyne detector measures the quadrature phase amplitude of a signal. More precisely, after the measurement of photon num…

math-ph2016

Parametrizations of degenerate density matrices

Erwin Brüning, Shigeaki Nagamachi

It turns out that a parametrization of degenerate density matrices requires a parametrization of $\mathfrak{F}=U(n)/({U(k_1)\times U(k_2)\times \cdots \times U(k_m)})\quad n=k_1 +\…

math-ph2012

Edge of the Wedge Theorem for Tempered Ultrahyperfunctions

E. Brüning, S. Nagamachi

Tempered ultra-hyperfunctions do not have the same type of localization properties as Schwartz distributions or Sato hyperfunctions; but the localization properties seem to play an…

math-ph2009

Teleportation of Continuous Quantum Variables: A New Approach

S. Nagamachi, E. Brüning

Teleportation of optical field states (as continuous quantum variables) is usually described in terms of Wigner functions. This is in marked contrast to the theoretical treatment o…

math-ph2008★ 1 cited

Solution of a Linearized Model of Heisenberg's Fundamental Equation II

E. Brüning, S. Nagamachi

A linearized version of Heisenberg's fundamental equation is solved, and the solutions satisfy the axioms of a relativistic quantum field theory with a fundamental length.

math-ph2008

Solution of a Linearized Model of Heisenberg's Fundamental Equation I

S. Nagamachi, E. Brüning

A linearized version of Heisenberg's fundamental equation is quantized by path integral method.