Various Quantum Mechanical Aspects of Quadratic Forms

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

متن کامل

Graphs, Quadratic Forms, and Quantum Codes

We show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabilizer code. The technique used in the proof establishes a new connection between quantum codes and quadratic forms. We provide some simple examples to illustrate our results.

متن کامل

Some aspects of the algebraic theory of quadratic forms

There are many good references for this material including [EKM], [L], [Pf] and [S]. 1 Quadratic forms Let k be a field with char k = 2. Definition 1.1. A quadratic form q : V → k on a finite-dimensional vector space V over k is a map satisfying: 1. q(λv) = λ 2 q(v) for v ∈ V , λ ∈ k. 2. The map b q : V × V → k, defined by b q (v, w) = 1 2 [q(v + w) − q(v) − q(w)] is bilinear. We denote a quadr...

متن کامل

Quantum Mechanical Aspects of the Halo Puzzle *

An interpretation of the the “halo puzzle” in accelerators based on quantum-like diffraction is given. Comparison between this approach and the others based on classical mechanics equations is exhibited.

متن کامل

Quantum Mechanical Aspects of Transport in Nanoelectronics

Innovations in semiconductor technology have provided us with an opportunity to examine devices with vertical and lateral dimensions less than 100 nm-comparable to the wavelength of the electron at the Fermi energy. At low temperature, the confinement and the coherence of the electronic motion on the scale of the electron wavelength give rise to gross deviations from classical charge transport ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 1995

ISSN: 0022-1236

DOI: 10.1006/jfan.1995.1062