Statistical mechanics arising from random matrix theory -Thomas Spencer 01:01:45 RMT statistics in number theory and in quantum chaos - Zeev Rudnick 01:03:19 Opening Remarks and History of the math talks - Peter Sarnak, Hugh Montgomery an 01:30:02 Number theoretic aspects of multiplicative...
q-deformed oscillator algebra/ A0530J Boson systems (quantum statistical mechanics) A0210 Algebra, set theory, and graph theoryIn this paper we obtain the new expression for the number operator of the q-deformed oscillator algebra including the q = 0 case and prove the equivalence between this...
A previous q-number variational method is extended to be applicable to any quantum system for which the classical Lagrangian is given by Lc=½gij\dotqi\dotqj+ui\dotqi-v. The q-number variation is necessary for the formulation to be form-invariant under a general space-time transformati...
and quantum information science 1:11:56 STEPHEN JACKSON_ STEINHAUS SETS, THE FINITE STEINHAUS SET PROBLEM, AND PSEUDO AB 55:27 Multi Variable Operator Theory with Relations 1:02:30 A Computational Mathematician Combusts 1:08:32 ANDREY KUPAVSKII_ MAX-NORM RAMSEY THEORY 50:10 Divided Power Algebr...
The difference is that here the trusted source sends occasionally auxiliary quantum states ρx, such as |0〉, to check whether the measurement is in the Z basis.84 The analysis combines measurement tomography with randomness quantification of positive-operator valued measure, and it does not ...
In the early twentieth century, with the advent of general relativity and quantum mechanics, topics such as di erential and Riemannian geometry, operator algebras and functional analysis, or group theory also developed a close relation to physics. In the past decade, mostly through the influence ...
Among various approaches, the radioactive decay has been considered as a promising candidate of RNGs for over half a century, on account of its seemingly unpredictable decay timings as quantum phenomena. However, the security of these radioactive RNGs has not been proven so far. Here we prove...
Algebraic structures and number theoryQuasi-exactly solvable (QES) problems in quantum mechanics are eigenvalue problems for the Schrödinger operator where ... EG Kalnins,W Miller,GS Pogosyan - 《Journal of Mathematical Physics》 被引量: 49发表: 2008年 Power generation systems and methods of gen...
In some four-component methods and in most of two-component methods it is possible to split the Hamiltonians into a scalar or spin-independent part and a spin-dependent part, and to identify a spin–orbit coupling operator. Then, it is possible to handle the full relativistic Hamiltonian as...
an important feature that differentiates quantum mechanics from classical physics. The generation of genuine randomness is generally considered impossible with only classical means. On the basis of the degree of trustworthiness on devices, quantum random number generators (QRNGs) can be grouped into thre...