On the Quantum Mechanics of Collision Processes [English Translation]

2021 ◽  
Vol 2021 (08) ◽  
pp. 0828
Author(s):  
Max Born
Keyword(s):  
Quantum Mechanics ◽  
English Translation ◽  
Stationary States ◽  
Quantum Jumps ◽  
Collision Processes

An examination of collision processes indicates that Schrödinger’s quantum mechanics describes not only stationary states, but also quantum jumps.

“QUANTUM JUMPS” AND INDISTINGUISHABILITY

1989 ◽  
Vol 04 (19) ◽  
pp. 1839-1845 ◽  
Author(s):  
ADRIAN KENT
Keyword(s):  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Model Parameters ◽  
Quantum Jumps ◽  
Cover Systems

Ghirardi, Rimini and Weber have presented a statistical modification of non-relativistic quantum mechanics which unifies the description of microscopic and macroscopic systems of distinct particles. We revise their proposal to cover systems of indistinguishable particles. Testable, mathematically precise, realist models of non-relativistic physics result. We give empirically derived bounds on the model parameters.

scholarly journals A CLASS OF QUANTUM STATES WITH CLASSICAL-LIKE EVOLUTION

1994 ◽  
Vol 08 (29) ◽  
pp. 1823-1831 ◽  
Author(s):  
SALVATORE DE MARTINO ◽  
SILVIO DE SIENA ◽  
FABRIZIO ILLUMINATI
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Quantum States ◽  
Time Dependent ◽  
Stationary States ◽  
Oscillator Potential ◽  
Classical Motion ◽  
Stochastic Formulation ◽  
New States

In the framework of the stochastic formulation of quantum mechanics we derive non-stationary states for a class of time-dependent potentials. The wave packets follow a classical motion with constant dispersion. The new states define a possible extension of the harmonic oscillator coherent states. As an explicit application, we study a sestic oscillator potential.

scholarly journals Event-Based Quantum Mechanics: A Context for the Emergence of Classical Information

2019 ◽  
Author(s):  
Ignazio Licata ◽  
Leonardo Chiatti
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Time Scales ◽  
Quantum Jumps ◽  
Classical Information ◽  
Primary Element ◽  
Informational Constraint ◽  
Event Based ◽  
Physical Quantities

This paper explores an event-based version of quantum mechanics which differs from the commonly accepted one, even though the usual elements of quantum formalism, e.g., the Hilbert space, are maintained. This version introduces as primary element the occurrence of micro-events induced by usual physical (mechanical, electromagnetic and so on) interactions. These micro-events correspond to state reductions and are identified with quantum jumps, already introduced by Bohr in his atomic model and experimentally well established today. Macroscopic bodies are defined as clusters of jumps; the emergence of classicality thus becomes understandable and time honoured paradoxes can be solved. In particular, we discuss the cat paradox in this context. Quantum jumps are described as temporal localizations of physical quantities; if the information associated with these localizations has to be finite, two time scales spontaneously appear: an upper cosmological scale and a lower scale of elementary "particles''. This allows the interpretation of the Bekenstein limit like a particular informational constraint on the manifestation of a micro-event in the cosmos it belongs. The topic appears relevant in relation to recent discussions on possible spatiotemporal constraints on quantum computing.

Comment on “Linear and bent triatomic molecules are not qualitatively different!”

2021 ◽  
pp. 1-2
Author(s):  
T. Amano
Keyword(s):  
Quantum Mechanics ◽  
Basic Principle ◽  
Stationary States ◽  
Expectation Values ◽  
Theoretical Justification ◽  
Bending Angle ◽  
Expectation Value ◽  
Triatomic Molecules

Jensen (Can. J. Phys. 98, 506 (2020). doi: 10.1139/cjp-2019-0395 ) presents theoretical justification for the claim that linear triatomic molecules are necessarily observed to be bent. The basis of the assertion is that the expectation value of the supplement of the bending angle, [Formula: see text] used in Jensen’s paper, is calculated to be positive. In this comment, we examine the interpretation of the expectation values of [Formula: see text] in stationary states, and indicate that Jensen’s claim contradicts a basic principle of quantum mechanics that the energy and geometrical variables cannot have definite values at the same time.

Failures

2019 ◽  
pp. 300-382
Author(s):  
Anthony Duncan ◽  
Michel Janssen
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Ground State Energy ◽  
Ground State ◽  
Equations Of Motion ◽  
Zeeman Effect ◽  
Stationary States ◽  
Old Quantum Theory ◽  
History Of ◽  
Anomalous Zeeman Effect

We consider three topics which proved frustratingly resistant to the methods of the old quantum theory up to the point of emergence of the quantum mechanics of Heisenberg and collaborators in late 1925. First, the old theory could not account convincingly for the superfluity of stationary states implied by the existence of the complex multiplets seen in most atomic spectra. Second, the progressively more complicated theories proposed for explaining the splittings of lines in the anomalous Zeeman effect were found to lead inevitably to glaring inconsistencies with the assumed mechanical equations of motion. Finally, there was the problem of the dual spectrum of helium, and even more basically, of the ground state energy of helium, all calculations of which in terms of specified electron orbits gave incorrect results. We relate the tangled history of the efforts to provide a theoretical resolution of these problems within the old quantum theory.

Quantum probing of singularities at event horizons of black holes

2021 ◽  
pp. 2150147
Author(s):  
V. P. Neznamov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Event Horizon ◽  
Stationary States ◽  
Coordinate Transformations ◽  
Event Horizons ◽  
Schwarzschild Metric

It is proved that coordinate transformations of the Schwarzschild metric to new static and stationary metrics do not eliminate the mode of a particle “fall” to the event horizon of a black hole. This mode is unacceptable for the quantum mechanics of stationary states.

scholarly journals THE PROBLEM OF REALITY IN THE TEXTS OF NIELS BOHR

2019 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Point Of View ◽  
Niels Bohr ◽  
Stationary States ◽  
Physical Processes ◽  
Specific Behavior ◽  
Physical Experiments ◽  
Interpretation Of Quantum Theory ◽  
Philosophical Questions

The article discusses a new understanding of the reality in the 20th century. Since the key figure in these changes was the Danish physicist Niels Bohr, we refer to his early and later articles to analyze the use of the term “reality”. Through an analysis of the terms, it is shown that Bohr describes discoveries in earlier articles that are inconsistent with old concepts in physics, and it is these questions that will further lead him to a new understanding of reality. In the article we also indicate how many times and in what contexts the term “reality” is used. Further, we find that the term “reality” is more common in later articles than in his earlier works (Copenhagen’s interpretation of quantum theory had not yet been formulated at the time of writing the early works). Through the analyzing of usage of certain terms, we show how the emphasis in the early and late Bohr’s articles shifts. For many years, the Danish physicist has sought to clarify quantum theory. In some later articles, we note that the problems affect not only physical, but also other areas of knowledge. We also analyze the use of the term in later articles. This analysis shows how Niels Bohr’s discoveries in the nature of the objects of the micro-world lead him to questions about the nature of reality. How discoveries in the microcosm affect the new conception of reality is best traced in controversy with other physicists. As the most striking example, we took the article “Discussion with Einstein on epistemological problems in atomic physics”. In this article, Bohr describes the specific behavior of micro-objects, features of physical experiments and proves the idea that a fundamentally new (including ontological plan) understanding of physical processes is needed. An analysis of the terms shows that, from Bohr’s point of view, reality itself is as described by its quantum mechanics. We strive to show the evolution of Bohr’s views in the context of how they influenced the revision of all physics. We conclude that the discovery of stationary states in an atom is the first step to rethinking philosophical questions of a nature of reality.

scholarly journals Non-Stationary States in Physics and Biophysics

2020 ◽  
pp. 61-67
Author(s):  
Б. Г. Заславский ◽  
М. А. Филатов ◽  
В. В. Еськов ◽  
Е. А. Манина
Keyword(s):  
Quantum Mechanics ◽  
Quantum Entanglement ◽  
Uncertainty Principle ◽  
Stationary States ◽  
Unstable Systems ◽  
Heisenberg Uncertainty Principle ◽  
Human Habitat ◽  
Heisenberg Uncertainty ◽  
Self Organizing

Необходимость изучения неустойчивых систем подчеркивал I. R. Prigogine, но за последние 40 лет эта проблема не рассматривается в науке. Однако за последние 25 лет была доказана статистическая неустойчивость параметров движения в биомеханике в виде эффекта Еськова–Зинченко. Подобные неустойчивые системы имеются и в неживой природе на Земле в виде систем регуляции климата и метеопараметров среды обитания человека. Эти системы в 1948 г. W. Weaver обозначил как системы третьего типа, они обладают особой статистической неустойчивостью, характерной для самоорганизующихся систем. В работе представлены основные свойства таких систем третьего типа и некоторые инварианты для их описания. Существенно, что их моделирование основано на ряде принципов квантовой механики. В частности, принципе неопределенности Гейзенберга и квантовой запутанности. I. R. Prigogine emphasized the need to research unstable systems. However, for the last 40 years, this problem has not been studied well. Still, in the last 25 years, the statistical instability of biomechanical motion properties was proved as the Eskov–Zinchenko effect. Such unstable systems exist in the Earth’s inorganic nature, too, as the human habitat climate/weather regulation systems. In 1948 W. Weather called such systems “3rd kind systems”. They feature a special statistical instability peculiar to self-organizing systems. The study presents the key properties of such 3rd kind systems and some invariants that define these non-stationary systems. Significantly, the simulation is based on some quantum mechanics postulates. Particularly, these are the Heisenberg uncertainty principle, and the quantum entanglement principle.

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