Some Fundamental Properties of Quantum Mechanics

1986 ◽  
pp. 328-355
Author(s):  
Arno Bohm
Keyword(s):  
Quantum Mechanics ◽  
Fundamental Properties

scholarly journals Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications

SPIN ◽  
2016 ◽  
Vol 06 (02) ◽  
pp. 1640003 ◽  
Author(s):  
Shengyuan A. Yang
Keyword(s):  
Quantum Mechanics ◽  
Conceptual Development ◽  
Relativistic Quantum ◽  
Low Energy ◽  
Relativistic Quantum Mechanics ◽  
Solid Materials ◽  
Fundamental Properties ◽  
Basic Concepts ◽  
Quasiparticle Excitations

Dirac and Weyl materials refer to a class of solid materials which host low-energy quasiparticle excitations that can be described by the Dirac and Weyl equations in relativistic quantum mechanics. Starting with the advent of graphene as the first prominent example, these materials have been attracting tremendous interest owing to their novel fundamental properties as well as the great potential for applications. Here we introduce the basic concepts and notions related to Dirac and Weyl materials and briefly review some recent works in this field, particularly on the conceptual development and the possible spintronics/pseudospintronics applications.

THE DIFFEOMORPHISM GROUP APPROACH TO ANYONS

1991 ◽  
Vol 05 (16n17) ◽  
pp. 2625-2640 ◽  
Author(s):  
GERALD A. GOLDIN ◽  
DAVID H. SHARP
Keyword(s):  
Quantum Mechanics ◽  
Quantum Systems ◽  
Diffeomorphism Group ◽  
Diffeomorphism Groups ◽  
Group Approach ◽  
Fundamental Properties ◽  
Local Current ◽  
Unified Description ◽  
Particle Statistics ◽  
Insight Into

We explain an approach to quantum mechanics, based on diffeomorphism groups and local current algebras, that predicts many of the fundamental properties of anyons. Our formulation also yields further insight into the meaning of particle statistics, and permits the unified description of a wide variety of quantum systems.

scholarly journals On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics

2021 ◽  
Vol 31 (4) ◽  
Author(s):  
Robert Arnott Wilson
Keyword(s):  
Quantum Mechanics ◽  
Symmetry Breaking ◽  
Physical Theory ◽  
Clifford Algebras ◽  
Complex Numbers ◽  
Spin Groups ◽  
Fundamental Physics ◽  
Dirac Algebra ◽  
Fundamental Properties ◽  
The Many

AbstractClifford algebras are used for constructing spin groups, and are therefore of particular importance in the theory of quantum mechanics. An algebraist’s perspective on the many subgroups and subalgebras of Clifford algebras may suggest ways in which they might be applied more widely to describe the fundamental properties of matter. I do not claim to build a physical theory on top of the fundamental algebra, and my suggestions for possible physical interpretations are indicative only, and may not work. Nevertheless, both the existence of three generations of fermions and the symmetry-breaking of the weak interaction seem to emerge naturally from an extension of the Dirac algebra from complex numbers to quaternions.

PARTIALLY BLIND SIGNATURES BASED ON QUANTUM CRYPTOGRAPHY

2012 ◽  
Vol 26 (30) ◽  
pp. 1250163 ◽  
Author(s):  
XIAO-QIU CAI ◽  
HUI-FANG NIU
Keyword(s):  
Quantum Mechanics ◽  
Public Key Cryptography ◽  
Blind Signature ◽  
Public Key ◽  
Signature Scheme ◽  
Common Information ◽  
Fundamental Properties ◽  
Blind Signatures ◽  
Partially Blind Signature ◽  
And Performance

In a partially blind signature scheme, the signer explicitly includes pre-agreed common information in the blind signature, which can improve the availability and performance. We present a new partially blind signature scheme based on fundamental properties of quantum mechanics. In addition, we analyze the security of this scheme, and show it is not possible to forge valid partially blind signatures. Moreover, the comparisons between this scheme and those based on public-key cryptography are also discussed.

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