Quantenmechanik und Objektivierbarkeit/ Quantum Mechanics and Objective Reality

1970 ◽  
Vol 25 (12) ◽  
pp. 1954-1957 ◽  
Author(s):  
K. Baumann
Keyword(s):  
Quantum Mechanics ◽  
Density Matrix ◽  
State Vector ◽  
The State ◽  
Measuring Apparatus ◽  
Measuring Process ◽  
Objective Reality ◽  
Objective Description ◽  
The Universe

Abstract Quantum Mechanics and Objective Reality A Schrödinger function (or a density matrix) can he ascribed only to an object whose isolation time is larger than its time of revolution. This condition can never be satisfied for macroscopic bodies. Consequently, the "cut" between object and observer must not separate a macroscopic body (measuring apparatus) from the rest of the universe. Hence in an analysis of the measuring process, the state vector of the universe must be introduced. An interpretation of this state vector is given which provides an objective description of nature.

scholarly journals Quantum Corrections to the Dynamics of the Gravitational System

2019 ◽  
Vol 64 (12) ◽  
pp. 1143
Author(s):  
V. V. Kuzmichev ◽  
V. E. Kuzmichev
Keyword(s):  
State Vector ◽  
Degrees Of Freedom ◽  
Wave Equations ◽  
The State ◽  
Constrained Systems ◽  
Short Introduction ◽  
Gravitational Systems ◽  
New Type ◽  
The Universe ◽  
Insight Into

A short introduction into the theory of quantum gravitational systems with a finite number of degrees of freedom is given. The theory is based on the method of quantization of constrained systems. The state vector of the system satisfies a set of wave equations which describes the time evolution of the system in the space of quantum fields. The state vector in such an approach can be normalized to unity. The theory permits a generalization to negative values of the scale factor and, being applied to cosmology, leads to the new understanding of the evolution of the universe. It gives an insight into the reasons why the regime of the expansion may change from acceleration to deceleration or vice versa, revealing a new type of quantum forces acting like dark matter and dark energy in the universe.

MEASUREMENT, IRREVERSIBILITY AND DECOHERENCE IN QUANTUM MECHANICS

1994 ◽  
Vol 09 (22) ◽  
pp. 3913-3924
Author(s):  
BELAL E. BAAQUIE
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum System ◽  
Quantum Measurement ◽  
State Vector ◽  
Space Time ◽  
Measuring Apparatus ◽  
Rigged Hilbert Space ◽  
Friedrichs Model ◽  
Time Irreversibility

We review Prigogine's model of quantum measurement. The measuring apparatus is considered to be an unstable quantum system with its state vector belonging to a rigged Hilbert space. Time irreversibility arises due to the dissipative nature of the measuring apparatus (an unstable quantum system) which induces decoherence in the system being measured. Friedrichs' model is used to concretely illustrate these ideas.

Measurement Theory

2019 ◽  
pp. 231-258
Author(s):  
P.J.E. Peebles
Keyword(s):  
Quantum Mechanics ◽  
State Vector ◽  
Measurement Theory ◽  
Albert Einstein ◽  
Experimental Tests ◽  
The State ◽  
Statistical Approximation ◽  
Deterministic Theory ◽  
Eugene Wigner

This chapter reviews measurement theory in quantum mechanics. The measurement prescription in quantum mechanics can be stated in a few lines and has found an enormous range of applications, in all of which it has proved to be consistent with logic and experimental tests. However, the implications seem so bizarre that people such as Albert Einstein and Eugene Wigner have argued that the theory cannot be physically complete as its stands. The chapter then extends the prescription to the case where the state vector is not known. It also discusses some of the “paradoxes” of quantum mechanics. Finally, the chapter presents Bell's theorem, which shows that there cannot be a local underlying deterministic theory for which quantum mechanics plays the role of a statistical approximation.

scholarly journals Some Notes on Counterfactuals in Quantum Mechanics

Entropy ◽  
2020 ◽  
Vol 22 (3) ◽  
pp. 266
Author(s):  
Avshalom Elitzur ◽  
Eliahu Cohen
Keyword(s):  
Quantum Mechanics ◽  
State Vector ◽  
Explanatory Power ◽  
Causal Effects ◽  
Weak Values ◽  
Value Analysis ◽  
Unique Role ◽  
Weak Value ◽  
The Universe

Counterfactuals, i.e., events that could have occurred but eventually did not, play a unique role in quantum mechanics in that they exert causal effects despite their non-occurrence. They are therefore vital for a better understanding of quantum mechanics (QM) and possibly the universe as a whole. In earlier works, we have studied counterfactuals both conceptually and experimentally. A fruitful framework termed quantum oblivion has emerged, referring to situations where one particle seems to "forget" its interaction with other particles despite the latter being visibly affected. This framework proved to have significant explanatory power, which we now extend to tackle additional riddles. The time-symmetric causality employed by the Two State-Vector Formalism (TSVF) reveals a subtle realm ruled by “weak values,” already demonstrated by numerous experiments. They offer a realistic, simple and intuitively appealing explanation to the unique role of quantum non-events, as well as to the foundations of QM. In this spirit, we performed a weak value analysis of quantum oblivion and suggest some new avenues for further research.

Operators and meaning of wave function

2016 ◽  
pp. 4039-4042
Author(s):  
Viliam Malcher
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
State Vector ◽  
The State ◽  
Physical Significance ◽  
Central Problem ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Interpretation Of Quantum Theory

The interpretation problems of quantum theory are considered. In the formalism of quantum theory the possible states of a system are described by a state vector. The state vector, which will be represented as |ψ> in Dirac notation, is the most general form of the quantum mechanical description. The central problem of the interpretation of quantum theory is to explain the physical significance of the |ψ>. In this paper we have shown that one of the best way to make of interpretation of wave function is to take the wave function as an operator.

The analysis is geometrically stable orbits of spacecraft remote sensing of the Еarth

2018 ◽  
Vol 15 (1) ◽  
pp. 12-22
Author(s):  
V. M. Artyushenko ◽  
D. Y. Vinogradov
Keyword(s):  
Remote Sensing ◽  
Gravitational Field ◽  
State Vector ◽  
Semimajor Axis ◽  
The State ◽  
Zonal Harmonics ◽  
The Earth ◽  
Conditions Of Stability

The article reviewed and analyzed the class of geometrically stable orbits (GUO). The conditions of stability in the model of the geopotential, taking into account the zonal harmonics. The sequence of calculation of the state vector of GUO in the osculating value of the argument of the latitude with the famous Ascoli-royski longitude of the ascending node, inclination and semimajor axis. The simulation is obtained the altitude profiles of SEE regarding the all-earth ellipsoid model of the gravitational field of the Earth given 7 and 32 zonal harmonics.

scholarly journals IMPLICATIONS OF A QUANTUM MECHANICAL TREATMENT OF THE UNIVERSE

1998 ◽  
Vol 13 (05) ◽  
pp. 347-351 ◽  
Author(s):  
MURAT ÖZER
Keyword(s):  
Quantum Mechanics ◽  
Wave Packet ◽  
Early Universe ◽  
Mechanical Treatment ◽  
Correspondence Principle ◽  
Scale Factor ◽  
Quantum Mechanical ◽  
Quantum Mechanical Treatment ◽  
The Standard Model ◽  
The Universe

We attempt to treat the very early Universe according to quantum mechanics. Identifying the scale factor of the Universe with the width of the wave packet associated with it, we show that there cannot be an initial singularity and that the Universe expands. Invoking the correspondence principle, we obtain the scale factor of the Universe and demonstrate that the causality problem of the standard model is solved.

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