scholarly journals Remarks on the Formulation of Quantum Mechanics with Classical Pictures and on Relations between Linear Scalar Fields and Hydrodynamical Fields

1953 ◽  
Vol 9 (3) ◽  
pp. 187-222 ◽  
Author(s):  
T. Takabayasi
Keyword(s):  
Quantum Mechanics ◽  
Scalar Fields ◽  
Linear Scalar

scholarly journals CLASSICAL AND QUANTUM TIME DEPENDENT SOLUTIONS IN STRING THEORY

2004 ◽  
Vol 19 (32) ◽  
pp. 5651-5661 ◽  
Author(s):  
C. MARTÍNEZ-PRIETO ◽  
O. OBREGÓN ◽  
J. SOCORRO
Keyword(s):  
Quantum Mechanics ◽  
Effective Action ◽  
Scalar Fields ◽  
Time Dependent ◽  
Interpretation Of Quantum Mechanics ◽  
Quantum Time ◽  
Dependent Model ◽  
Classical Behavior ◽  
Time Dependent Model ◽  
Friedmann Robertson Walker

Using the ontological interpretation of quantum mechanics in a particular sense, we obtain the classical behavior of the scale factor and two scalar fields, derived from a string effective action for the Friedmann–Robertson–Walker (FRW) time dependent model. Besides, the Wheeler–DeWitt equation is solved exactly. We speculate that the same procedure could also be applied to S-branes.

scholarly journals Peeling on Kerr Spacetime: Linear and Semi-linear Scalar Fields

2019 ◽  
Vol 20 (10) ◽  
pp. 3419-3470 ◽  
Author(s):  
Jean-Philippe Nicolas ◽  
Truong Xuan Pham
Keyword(s):  
Scalar Fields ◽  
Kerr Spacetime ◽  
Linear Scalar

ENTANGLED EIGENSTATES AND SQUEEZING OPERATOR FOR COMPLEX SCALAR FIELDS

1999 ◽  
Vol 14 (39) ◽  
pp. 2695-2700 ◽  
Author(s):  
HONG-YI FAN ◽  
ZENG-BING CHEN
Keyword(s):  
Quantum Mechanics ◽  
Fock Space ◽  
Scalar Fields ◽  
Complex Scalar ◽  
Charge Conjugate ◽  
Einstein Podolsky Rosen ◽  
Squeezing Operator

We derive the entangled eigenstate ‖ξ> of complex scalar fields ϕ and ϕ† in the Fock space. The ‖ξ> state is found to embed the entanglement possessed by the Einstein–Podolsky–Rosen states in quantum mechanics. The ‖ξ> set spans a complete and orthonormal representation. The advantage of the new <ξ‖-representation helps us to derive the normally ordered forms of the squeezing and charge conjugate operators for complex scalar fields rather easily.

scholarly journals Continuous Histograms for Anisotropy of 2D Symmetric Piece-Wise Linear Tensor Fields

2021 ◽  
pp. 39-70
Author(s):  
Talha Bin Masood ◽  
Ingrid Hotz
Keyword(s):  
Volume Rendering ◽  
Transfer Functions ◽  
Anisotropy Field ◽  
Scalar Fields ◽  
Linear Interpolation ◽  
Tensor Fields ◽  
Interactive Interfaces ◽  
Scalar Invariants ◽  
Linear Scalar ◽  
Naive Approach

AbstractIn this chapter we present an accurate derivation of the distribution of scalar invariants with quadratic behavior represented as continuous histograms. The anisotropy field, computed from a two-dimensional piece-wise linear tensor field, is used as an example and is discussed in all details. Histograms visualizing an approximation of the distribution of scalar values play an important role in visualization. They are used as an interface for the design of transfer-functions for volume rendering or feature selection in interactive interfaces. While there are standard algorithms to compute continuous histograms for piece-wise linear scalar fields, they are not directly applicable to tensor invariants with non-linear, often even non-convex behavior in cells when applying linear tensor interpolation. Our derivation is based on a sub-division of the mesh in triangles that exhibit a monotonic behavior. We compare the results to a naïve approach based on linear interpolation on the original mesh or the subdivision.

scholarly journals Preferred instantaneous vacuum for linear scalar fields in cosmological space-times

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
Ivan Agullo ◽  
William Nelson ◽  
Abhay Ashtekar
Keyword(s):  
Scalar Fields ◽  
Linear Scalar

scholarly journals An Entropic Dynamics Approach to Geometrodynamics

Proceedings ◽  
2019 ◽  
Vol 33 (1) ◽  
pp. 13
Author(s):  
Selman Ipek ◽  
Ariel Caticha
Keyword(s):  
General Relativity ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
First Principles ◽  
Scalar Fields ◽  
Poisson Brackets ◽  
Classical Approach ◽  
Quantum Domain ◽  
Physical Information ◽  
Entropic Dynamics

In the Entropic Dynamics (ED) framework quantum theory is derived as an application of entropic methods of inference. The physics is introduced through appropriate choices of variables and of constraints that codify the relevant physical information. In previous work, a manifestly covariant ED of quantum scalar fields in a fixed background spacetime was developed. Manifest relativistic covariance was achieved by imposing constraints in the form of Poisson brackets and of intial conditions to be satisfied by a set of local Hamiltonian generators. Our approach succeeded in extending to the quantum domain the classical framework that originated with Dirac and was later developed by Teitelboim and Kuchar. In the present work the ED of quantum fields is extended further by allowing the geometry of spacetime to fully partake in the dynamics. The result is a first-principles ED model that in one limit reproduces quantum mechanics and in another limit reproduces classical general relativity. Our model shares some formal features with the so-called “semi-classical” approach to gravity.

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