scholarly journals (Precursor for) Quantum Boundary Conditions for Expanding Universe

2017 ◽  
Vol 03 (01) ◽  
pp. 16-20
Author(s):  
Andrew Walcott Beckwith
Keyword(s):  
Boundary Conditions ◽  
Expanding Universe ◽  
Quantum Boundary Conditions

scholarly journals GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE

2005 ◽  
Vol 20 (05) ◽  
pp. 1001-1025 ◽  
Author(s):  
M. ASOREY ◽  
A. IBORT ◽  
G. MARMO
Keyword(s):  
Boundary Conditions ◽  
Boundary Data ◽  
Energy Levels ◽  
Cayley Transform ◽  
Edge States ◽  
Topology Change ◽  
Global Theory ◽  
Relevant Role ◽  
Quantum Boundary Conditions ◽  
Low Dimensional

We analyze the global theory of boundary conditions for a constrained quantum system with classical configuration space a compact Riemannian manifold M with regular boundary Γ=∂M. The space ℳ of self-adjoint extensions of the covariant Laplacian on M is shown to have interesting geometrical and topological properties which are related to the different topological closures of M. In this sense, the change of topology of M is connected with the nontrivial structure of ℳ. The space ℳ itself can be identified with the unitary group [Formula: see text] of the Hilbert space of boundary data [Formula: see text]. This description, is shown to be equivalent to the classical von Neumann's description in terms of deficiency index subspaces, but it is more efficient and explicit because it is given only in terms of the boundary data, which are the natural external inputs of the system. A particularly interesting family of boundary conditions, identified as the set of unitary operators which are singular under the Cayley transform, [Formula: see text] (the Cayley manifold), turns out to play a relevant role in topology change phenomena. The singularity of the Cayley transform implies that some energy levels, usually associated with edge states, acquire an infinity energy when by an adiabatic change the boundary conditions reaches the Cayley submanifold 𝒞_. In this sense topological transitions require an infinite amount of quantum energy to occur, although the description of the topological transition in the space ℳ is smooth. This fact has relevant implications in string theory for possible scenarios with joint descriptions of open and closed strings. In the particular case of elliptic self-adjoint boundary conditions, the space 𝒞_ can be identified with a Lagrangian submanifold of the infinite dimensional Grassmannian. The corresponding Cayley manifold 𝒞_ is dual of the Maslov class of ℳ. The phenomena are illustrated with some simple low dimensional examples.

Quantum boundary conditions for torus maps

Nonlinearity ◽  
1999 ◽  
Vol 12 (3) ◽  
pp. 579-591 ◽  
Author(s):  
J P Keating ◽  
F Mezzadri ◽  
J M Robbins
Keyword(s):  
Boundary Conditions ◽  
Quantum Boundary Conditions

Quantum nonlocal polarizability of spherical metal nanoparticles

2016 ◽  
Vol 30 (09) ◽  
pp. 1650048 ◽  
Author(s):  
Afshin Moradi
Keyword(s):  
Boundary Conditions ◽  
Plasma Waves ◽  
Hydrodynamic Theory ◽  
Explicit Calculation ◽  
Metallic Nanoparticle ◽  
The Poisson Equation ◽  
Longitudinal Plasma ◽  
Quantum Hydrodynamic ◽  
Spherical Metal Nanoparticles ◽  
Quantum Boundary Conditions

An explicit calculation of the quantum nonlocal (QNL) polarizability of a metallic nanoparticle is presented, where two quantum longitudinal plasma waves are excited. The QNL generalization of the classical Clausius–Mossotti factor of the system is derived, by means of the quantum hydrodynamic theory in conjunction with the Poisson equation and applying the appropriate additional quantum boundary conditions.

Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

1970 ◽  
Vol 28 ◽  
pp. 360-361
Author(s):  
John W. Coleman
Keyword(s):  
Boundary Conditions ◽  
High Performance ◽  
Force Fields ◽  
Optical Design ◽  
Direct Conversion ◽  
Design Engineering ◽  
Design Data ◽  
Scalar Potentials ◽  
Geometric Elements ◽  
At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

A digital vocal tract simulator with boundary conditions at lips and glottis

1981 ◽  
Vol 64 (11) ◽  
pp. 18-26 ◽  
Author(s):  
Tetsuya Nomura ◽  
Nobuhiro Miki ◽  
Nobuo Nagai
Keyword(s):  
Boundary Conditions ◽  
Vocal Tract

Exploring the affective impact, boundary conditions, and antecedents of leader humility.

2018 ◽  
Vol 103 (9) ◽  
pp. 1019-1038 ◽  
Author(s):  
Lin Wang ◽  
Bradley P. Owens ◽  
Junchao (Jason) Li ◽  
Lihua Shi
Keyword(s):  
Boundary Conditions ◽  
Affective Impact ◽  
Leader Humility

Exploring personality variables as boundary conditions of the justice-job satisfaction relationship

2009 ◽  
Author(s):  
Sabrina Volpone ◽  
Cristina Rubino ◽  
Ari A. Malka ◽  
Christiane Spitzmueller ◽  
Lindsay Brown
Keyword(s):  
Job Satisfaction ◽  
Boundary Conditions ◽  
Personality Variables ◽  
Satisfaction Relationship

Intentionality Matters: Boundary Conditions of Task Sharing

2008 ◽  
Author(s):  
Silke Atmaca ◽  
Antje Hollander ◽  
Wolfgang Prinz
Keyword(s):  
Boundary Conditions ◽  
Task Sharing
Sign in / Sign up

Export Citation Format

Share Document