Quantum mechanics of the general spatially homogeneous geometry coupled to a scalar field

1992 ◽  
Vol 33 (8) ◽  
pp. 2863-2876 ◽  
Author(s):  
T. Christodoulakis ◽  
E. Korfiatis
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Spatially Homogeneous

scholarly journals From scalar field theories to supersymmetric quantum mechanics

2017 ◽  
Vol 32 (12) ◽  
pp. 1750073 ◽  
Author(s):  
D. Bazeia ◽  
F. S. Bemfica
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Scalar Field ◽  
Field Model ◽  
Supersymmetric Quantum Mechanics ◽  
Field Theories ◽  
Quantum Mechanical ◽  
Scalar Field Theory ◽  
Scalar Field Model ◽  
The Subject

In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.

scholarly journals Wave-like spatially homogeneous models of Stäckel spacetimes (2.1) type in the scalar-tensor theory of gravity

2020 ◽  
Vol 35 (33) ◽  
pp. 2050275
Author(s):  
Konstantin Osetrin ◽  
Altair Filippov ◽  
Evgeny Osetrin
Keyword(s):  
Scalar Field ◽  
Explicit Form ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Test Particles ◽  
Homogeneous Wave ◽  
General Scalar ◽  
Spatially Homogeneous ◽  
Theory Of Gravity ◽  
The Universe

Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like spacetime models allow the existence of privileged coordinate systems where the eikonal equation and the Hamilton–Jacobi equation of test particles can be integrated by the method of complete separation of variables with the separation of isotropic (wave) variables on which the space metric depends (non-ignored variables). An explicit form of the scalar field and two functions of the scalar field that are part of the general scalar-tensor theory of gravity are found. The explicit form of the eikonal function and the action function for test particles in the considered models is given. The obtained solutions are of type III according to the Bianchi classification and type N according to the Petrov classification. Wave-like spatially homogeneous spacetime models can describe primordial gravitational waves of the Universe.

A MODEL OF QUANTUM GRAVITATIONAL COLLAPSE

1991 ◽  
Vol 06 (15) ◽  
pp. 2693-2706 ◽  
Author(s):  
J. GREENSITE
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Gravitational Collapse ◽  
Scale Factor ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Intrinsic Time ◽  
Infinite Range ◽  
Metric Scale

Some issues in the quantum mechanics of gravitational collapse are discussed in the framework of a simple minisuperspace model, consisting of a Friedman metric coupled to a massless scalar field. The model illustrates the role of intrinsic time coordinates in parametrizing gravitational collapse through a singularity, and the relevance of quantizing the metric scale factor over an infinite, rather than half-infinite, range.

THERMAL SQUEEZING AND DENSITY FLUCTUATIONS IN SEMICLASSICAL THEORY OF GRAVITY

2001 ◽  
Vol 16 (11) ◽  
pp. 707-717 ◽  
Author(s):  
P. K. SURESH
Keyword(s):  
Scalar Field ◽  
Coherent State ◽  
Density Fluctuation ◽  
Density Fluctuations ◽  
Semiclassical Theory ◽  
Squeezed State ◽  
State Representation ◽  
Walker Metric ◽  
Spatially Homogeneous ◽  
Theory Of Gravity

A thermal squeezed state representation is constructed for each mode of a quantized scalar field in a spatially homogeneous and flat Robertson–Walker metric and the validity of semiclassical Einstein equation by analyzing the density fluctuation is examined. The density fluctuation in thermal squeezed state is very large and therefore the semiclassical theory may not be valid for squeezing parameter more than unity, however the theory holds when the associated squeezing parameter is much less than the unity. Further noted that the semiclassical theory is consistent in thermal coherent state formalism. The present study can account for the density fluctuations due to the thermal and quantum effects in semiclassical theory of gravity.

scholarly journals Fuzzy scalar field theory as matrix quantum mechanics

2011 ◽  
Vol 2011 (3) ◽  
Author(s):  
Matthias Ihl ◽  
Christoph Sachse ◽  
Christian Sämann
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Scalar Field ◽  
Scalar Field Theory ◽  
Matrix Quantum

Functional Integrals and Quantum Mechanics: Formal Developments

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Path Integral ◽  
Perturbation Expansion ◽  
Scattering Matrix ◽  
Quantum Mechanical ◽  
Functional Integrals

Time-ordered products and connection with the path integral. Applications in quantum mechanical problems. T-products and the scattering matrix. The perturbation expansion. The scalar field.

scholarly journals Quantum mechanics of the scalar field in the new inflationary universe

1985 ◽  
Vol 32 (8) ◽  
pp. 1899-1920 ◽  
Author(s):  
Alan H. Guth ◽  
So-Young Pi
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Inflationary Universe
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