Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser.
2009, Physics of Atomic Nuclei
…
12 pages
1 file
Some aspects of the interpretation of quantum theory are discussed. It is emphasized that quantum theory is formulated in a Cartesian coordinate system; in other coordinates the result obtained with the help of the Hamiltonian formalism and commutator relations between 'canonically conjugated' coordinate and momentum operators leads to a wrong version of quantum mechanics. In this connection the Feynman integral formalism is also discussed. In this formalism the measure is not well-defined and there is no idea how to distinguish between the true version of quantum mechanics and an incorrect one; it is rather a mnemonic rule to generate perturbation series from an undefined zero order term. The origin of time is analyzed in detail by the example of atomic collisions. It is shown that the time-dependent Schrödinger equation for the closed three-body (two nuclei + electron) system has no physical meaning since in the high impact energy limit it transforms into an equation with two independent time-like variables; the time appears in the stationary Schrödinger equation as a result of extraction of a classical subsystem (two nuclei) from a closed three-body system. Following the Einstein-Rosen-Podolsky experiment and Bell's inequality the wave function is interpreted as an actual field of information in the elementary form. The relation between physics and mathematics is also discussed.
Physics Essays, 2012
Some aspects of the interpretation of quantum theory are discussed. It is emphasized that quantum theory is formulated in a Cartesian coordinate system; in other coordinates the result obtained with the help of the Hamiltonian formalism and commutator relations between 'canonically conjugated' coordinate and momentum operators leads to a wrong version of quantum mechanics. In this connection the Feynman integral formalism is also discussed. In this formalism the measure is not well-defined and there is no idea how to distinguish between the true version of quantum mechanics and an incorrect one; it is rather a mnemonic rule to generate perturbation series from an undefined zero order term. The origin of time is analyzed in detail by the example of atomic collisions. It is shown that the time-dependent Schrödinger equation for the closed three-body (two nuclei + electron) system has no physical meaning since in the high impact energy limit it transforms into an equation with two independent time-like variables; the time appears in the stationary Schrödinger equation as a result of extraction of a classical subsystem (two nuclei) from a closed three-body system. Following the Einstein-Rosen-Podolsky experiment and Bell's inequality the wave function is interpreted as an actual field of information in the elementary form. The relation between physics and mathematics is also discussed.
American Journal of Physics, 1979
We reformulate the problem of the "interpretation of quantum mechanics" as the problem of DERIVING the quantum mechanical formalism from a set of simple physical postulates. We suggest that the common unease with taking quantum mechanics as a fundamental description of nature could derive from the use of an incorrect notion, as the unease with the Lorentz transformations before Einstein derived from the notion of observer independent time. Following an an analysis of the measurement process as seen by different observers, we propose a reformulation of quantum mechanics in terms of INFORMATION THEORY. We propose three different postulates out of which the formalism of the theory can be reconstructed; these are based on the notion of information about each other that systems contain. All systems are assumed to be equivalent: no observer-observed distinction, and information is interpreted as correlation. We then suggest that the incorrect notion that generates the unease with quantum mechanichs is the notion of OBSERVER INDEPENDENT state of a system.
Russian Physics Journal, 2011
Interpretation of quantum physics and its principles is a problem that has yet to be solved to the end in spite of the fact that quantum physics formulated more than 80 years ago successfully explains the microcosm phenomena. Today there are several competing interpretations, including the Copenhagen interpretation in different forms, the Everett many-worlds interpretation, the Gell-Mann and Hartle many-histories interpretation, and the nonlocal hidden variables theory. From the above-listed interpretations, the most advanced quantum theory that does not require changes of the mathematical apparatus is the Copenhagen interpretation. All other interpretations (with possible exception of the many-worlds interpretation) call for changes in the quantum theory formalism.
University of Pittsburgh, 2014
The following two paragraphs rely heavily on Hilgevoord's presentation, (Hilgevoord, 2005, §3.4). 11 In this connection, see Salecker & Wigner (1958). 12 Or its English translation, (Pauli, 1958), later published as a book.
Physics Essays, 2009
In the present paper, in order to explain the phenomenon, transmittance T = finite for particles having energy E Ͻ V 0 , on the basis of particle nature of matter particles, a theory has been proposed searching out such a cause because of which this phenomenon actually takes place. The cause is that the spin motion in any body develops the tendency of linear motion in the direction of its spin angular momentum L s . Consequently, every spinning body possesses direction of its linear motion. In order to verify its truth, solid evidence has been given from the well-established existing knowledge. The spin motion in the body develops spin momentum p s in the direction of its L s , and when the body starts traveling along the direction of its L s , the p s of the body together with its linear momentum p lin conserve its motional momentum p m ͑=p lin + p s ͒. In order to verify its truth, solid evidence has been given from the well-established existing knowledge. When the body starts traveling along the direction of its L s , the velocity v of the body varies with the frequency of its spin motion . An expression has been established describing how these vary. The truth of this expression has been verified for electrons. Applying it to the orbiting electrons, the expression for frequency of spectral lines ͑͒ of the hydrogen atom has been deduced, which agrees exactly with the expression obtained by Bohr's theory. The present deduction is comparatively more sound and convincing The important point with the present concept ͑i.e., searched out cause͒ is that, it gives very clear picture of how ͑i.e., the way͒ the phenomenon T = finite actually behaves, which unfortunately we do not at all find with the concept of the wave nature of the matter particles. Further, the concept of wave nature gives rise to number of very serious such questions of which no explanation can be given, which implies that the concept of wave nature is not true. Pointing out and discussing some such serious questions, it has been tried to prove that the concept of their wave nature is not true. Applying the searched out cause, it has also been tried to explain how and why the spectral lines and their fine structures are obtained, how and why their frequency, intensity and thickness vary. The present explanation gives a very clear and complete picture of almost all the events of the phenomenon such that they can very easily be visualized by us in our imagination as to how they take place in actual practice. With existing theories, we do not find so. There has been deduced an expression for intensity of spectral lines, too, along with the deduction of an expression for their frequency. In the deduction of an expression for frequency of spectral lines applying Bohr's theory, there have been pointed out three very serious flaws. In the last, it has been tried to explain and prove that the velocity of a photon ͑c͒ varies with its frequency of spin motion . An expression to explain how c of a photon varies as varies has also been deduced. The current concept that the photons are the discrete quanta of energy h, which provide mass h / c 2 and momentum h / c to them, is not true. The photon is the radiation energy carrier ͑like an electron which carries charge͒, and the radiation energy contained in the photon gives its mass according to the mass-energy equivalence relation of the theory of relativity. This mass is its rest mass, which has been determined. The existing concept that, after attaining relativistic velocity by the electron when its velocity v starts decreasing, its mass m e starts increasing in order to maintain the conservation of its kinetic energy and linear momentum, is not true. The frequency of spin motion of an electron in fact starts increasing in order to maintain the conservation of its motional energy ͑i.e., kinetic energy+ spin energy͒ and motional momentum ͑i.e., linear momentum+ spin momentum͒, because it actually possesses the motional energy and motional momentum, not only kinetic energy and linear momentum.
viXra, 2017
This paper gives interpretation of Quantum Mechanics (QM) by redefining the theory using 3 new postulates. The first of these postulates specifies the underlying structure that every massive fundamental particle must possess. The mass-Energy equivalence and wave nature of matter emerge as a direct consequence. The second postulate describes the quantum state of particles. Wave function, its conjugate, Born interpretation and the Energy-momentum operators can be derived from these two postulates. The third postulate describes the effect of measurement and interaction on the wave function. The equations of QM starting from Schrodinger’s equation are described. The phenomenon of Quantum entanglement and Schrodinger’s cat thought experiment are described under this interpretation. Finally, the origin of spin resulting from the first postulate is discussed.
Foundations of Science, 2016
Although the present paper looks upon the formal apparatus of quantum mechanics as a calculus of correlations, it goes beyond a purely operationalist interpretation. Having established the consistency of the correlations with the existence of their correlata (measurement outcomes), and having justified the distinction between a domain in which outcome-indicating events occur and a domain whose properties only exist if their existence is indicated by such events, it explains the difference between the two domains as essentially the difference between the manifested world and its manifestation. A single, intrinsically undifferentiated Being manifests the macroworld by entering into reflexive spatial relations. This atemporal process implies a new kind of causality and sheds new light on the mysterious nonlocality of quantum mechanics. Unlike other realist interpretations, which proceed from an evolving-states formulation, the present interpretation proceeds from Feynman's formulation of the theory, and it introduces a new interpretive principle, replacing the collapse postulate and the eigenvalueeigenstate link of evolving-states formulations. Applied to alternatives involving distinctions between regions of space, this principle implies that the spatiotemporal differentiation of the physical world is incomplete. Applied to alternatives involving distinctions between things, it warrants the claim that, intrinsically, all fundamental particles are identical in the strong sense of numerical identical. They are the aforementioned intrinsically undifferentiated Being, which manifests the macroworld by entering into reflexive spatial relations.
This revisionist essay aimed at educated people who have learned physics from pop TV 'science'. It was written to correct the false impression of the historical development of Quantum Theory that has unfortunately become accepted as orthodoxy and has even entered popular culture (TV and book popularizations via the ‘magic’ word “Quantum”). This essay is a highly boiled-down version of a much larger paper aimed at professionals who are quite familiar with the technical outline. The implicit message here (and made explicit in the technical paper) is that both mathematical evolution and new physics experiments both threatened the 2,500-year dominance of the trio of traditional philosophy, physics and mathematics. The mathematical revolution will be omitted here as it is much too technical for a general audience but the ‘hidden’ story of quantum physics should be understandable to anyone with a strong imagination while recognizing the persistence of traditional ‘continuous’ concepts.
2000
If time is substituted in the equation of motion in the Heisenberg picture the results obtained may lead to confusions if the equations are not interpreted correctly. Some examples are given.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.
Rethinking Quantum Mechanics./Journal of Applied Physics (IOSR-JAP)., 2018
Social Science Research Network, 2020
Studies in History and Philosophy of Modern Physics, 2013
European Journal of Physics, 2017
arXiv (Cornell University), 2021
American Journal of Physics, 2018
Advances in Quantum Chemistry, 2008