Results 1 to 10 of about 359,212 (230)

Hilbert space of wormholes [PDF]

Physical Review D, 1993
Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace.
A. Galindo, A. Galindo, A. Lyons, A. Vilenkin, A. Zhuk, C. Teitelboim, H. F. Dowker, H. F. Dowker, I. S. Gradshteyn, J. J. Halliwell, J. J. Halliwell, L. J. Garay, L. J. Garay, L. M. Campbell, Luis J. Garay, M. Reed, P. F. González-Díaz, P. Puig Adam, P. Ramond, S. B. Giddings, S. Coleman, S. W. Hawking, S. W. Hawking, S. W. Hawking, S. W. Hawking, V. N. Gribov   +25 more
core   +10 more sources

Metric field as emergence of Hilbert space [PDF]

Scientific Reports
First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Maysam Yousefian, Mehrdad Farhoudi
doaj   +2 more sources

Consistent Treatment of Quantum Systems with a Time-Dependent Hilbert Space [PDF]

Entropy
We consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address the possibility of describing them in terms of a time-independent Hilbert ...
Ali Mostafazadeh
doaj   +2 more sources

Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2021
We study the concept of frame in tensor product of  $n$-Hilbert spaces as tensor product of  $n$-Hilbert spaces is again an  $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
doaj   +1 more source

Characterisation of quadratic spaces over the Hilbert field by means of the orthogonality relation. [PDF]

J Geom
Korbelář M, Paseka J, Vetterlein T.
europepmc   +3 more sources

W-Hilbert: A W-shaped Hilbert curve and coding method for multiscale geospatial data index

International Journal of Applied Earth Observations and Geoinformation, 2023
Space-filling curves (SFCs) are commonly used in discrete global grid systems (DGGSs) and applied to efficient indices and queries of massive geospatial data.
Yi Lei, Xiaochong Tong, Dali Wang, Chunping Qiu, He Li, Youwei Zhang   +5 more
doaj   +1 more source

Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications

Axioms, 2023
The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry, Kais Feki, Shigeru Furuichi   +2 more
doaj   +1 more source

On the Hilbert Space in Quantum Gravity

Universe, 2022
This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation.
Ednardo Paulo Spaniol, Ronni Geraldo Gomes Amorim, Sergio Costa Ulhoa   +2 more
doaj   +1 more source

Rigged Hilbert spaces and contractive families of Hilbert spaces [PDF]

Monatshefte für Mathematik, 2010
15 pages.
BELLOMONTE, Giorgia, TRAPANI, Camillo
openaire   +3 more sources

Clock-dependent spacetime

Journal of High Energy Physics, 2021
Einstein’s theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local kinematic Hilbert ...
Sung-Sik Lee
doaj   +1 more source