scholarly journals The field meaning of wave function

2020 ◽  
Author(s):  
Canlun Yuan Yuan
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Electron Emission ◽  
Basic Assumption ◽  
Electron Transition ◽  
Physical Significance ◽  
Quantum Mechanical ◽  
Great Success ◽  
Potential Well ◽  
Transition Electron

Abstract Although this paper is the inheritance and development of Copenhagen quantum mechanics theory, it is a brand-new theory, because although quantum mechanics has achieved great success, its physical significance still needs to be explored. In this paper, the concept of generalized field and generalized quantity is introduced. From the behavior of generalized field in potential well, the conclusion that generalized field exists with energy in the form of standing wave in potential well is obtained. In this paper, only one physical model is used: "the generalized field forms wave, which is wave function". With a basic assumption of mvλ=h , the Einstein de Broglie relation is derived, and the wave function has the meaning of generalized field. Every conclusion given in this paper has clear and obvious physical significance, which makes quantum mechanical problems simple and clear. At the same time, the new atom model is established, and the problems of electron transition, electron spin, electron emission and absorption are discussed.

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.

scholarly journals OBSERVER INVARIANCE OF THE COLLAPSE POSTULATE OF QUANTUM MECHANICS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345013 ◽  
Author(s):  
MILTON A. DA SILVA ◽  
ROBERTO M. SERRA ◽  
LUCAS C. CÉLERI
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Reference Frame ◽  
Relative Motion ◽  
Information Transfer ◽  
Measurement Process ◽  
Quantum Mechanical ◽  
Wave Function Collapse ◽  
Amount Of Information ◽  
Effective Efficiency

We analyze the wave function collapse as seen by two distinct observers (with identical detectors) in relative motion. Imposing that the measurement process demands information transfer from the system to the detectors, we note that although different observers will acquire different amount of information from their measurements due to correlations between spin and momentum variables, all of them will agree about the orthogonality of the outcomes, as defined by their own reference frame. So, in this sense, such a quantum mechanical postulate is observer invariant, however the effective efficiency of the measurement process differs for each observer.

Quantum Interference

2019 ◽  
pp. 66-88
Author(s):  
Jeffrey A. Barrett
Keyword(s):  
Hilbert Space ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Interference ◽  
Standard Theory ◽  
Quantum Decoherence ◽  
Entangled States ◽  
Quantum Mechanical ◽  
Standard Formulation ◽  
Complex Valued

Moving to more subtle experiments, we consider how the standard formulation of quantum mechanics predicts and explains interference phenomena. Tracking the conditions under which one observes interference phenomena leads to the notion of quantum decoherence. We see why one must sharply distinguish between collapse phenomena and decoherence phenomena on the standard formulation of quantum mechanics. While collapses explain determinate measurement records, environmental decoherence just produces more complex, entangled states where the physical systems involved lack ordinary physical properties. We characterize the quantum-mechanical wave function as both an element of a Hilbert space and a complex-valued function over a configuration space. We also discuss how the wave function is interpreted in the standard theory.

scholarly journals Did bohr succeed in defending the completeness of quantum mechanics?

2020 ◽  
Vol 24 (1) ◽  
pp. 51-63
Author(s):  
Kunihisa Morita
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Recent Trend ◽  
Physical Reality ◽  
Current Paper ◽  
Quantum Mechanical ◽  
Mechanical Description ◽  
Quantum Mechanical Description ◽  
Completeness Of Quantum Mechanics

This study posits that Bohr failed to defend the completeness of the quantum mechanical description of physical reality against Einstein–Podolsky–Rosen’s (EPR) paper. Although there are many papers in the literature that focus on Bohr’s argument in his reply to the EPR paper, the purpose of the current paper is not to clarify Bohr’s argument. Instead, I contend that regardless of which interpretation of Bohr’s argument is correct, his defense of the quantum mechanical description of physical reality remained incomplete. For example, a recent trend in studies of Bohr’s work is to suggest he considered the wave-function description to be epistemic. However, such an interpretation cannot be used to defend the completeness of the quantum mechanical description.

Quantum mechanics and quantum information science: The nature of ψ

2016 ◽  
Vol 14 (06) ◽  
pp. 1640030
Author(s):  
Partha Ghose
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Information ◽  
Information Science ◽  
Quantum Mechanical ◽  
Mechanical Wave ◽  
Quantum Information Science

An overview is given of the nature of the quantum mechanical wave function.

Probability relations between separated systems

1936 ◽  
Vol 32 (3) ◽  
pp. 446-452 ◽  
Author(s):  
E. Schrödinger
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Pure State ◽  
Relativistic Quantum ◽  
Present Theory ◽  
Relativistic Quantum Mechanics ◽  
Quantum Mechanical ◽  
Alternative Possibility ◽  
Linearly Independent ◽  
Statistical Operator

The paper first scrutinizes thoroughly the variety of compositions which lead to the same quantum-mechanical mixture (as opposed to state or pure state). With respect to a given mixture every state has a definite probability (or mixing fraction) between 0 and 1 (including the limits), which is calculated from the mixtures Statistical Operator and the wave function of the state in question.A well-known example of mixtures occurs when a system consists of two separated parts. If the wave function of the whole system is known, either part is in the situation of a mixture, which is decomposed into definite constituents by a definite measuring programme to be carried out on the other part. All the conceivable decompositions (into linearly independent constituents) of the first system are just realized by all the possible measuring programmes that can be carried out on the second one. In general every state of the first system can be given a finite chance by a suitable choice of the programme.It is suggested that these conclusions, unavoidable within the present theory but repugnant to some physicists including the author, are caused by applying non-relativistic quantum mechanics beyond its legitimate range. An alternative possibility is indicated.

Localization of a bound particle outside the potential well

2002 ◽  
Vol 80 (7) ◽  
pp. 755-766 ◽  
Author(s):  
R F Holub ◽  
P K Smrz
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Effect ◽  
Energy State ◽  
Potential Well ◽  
Zero Energy ◽  
Standard Quantum ◽  
Simple Effect ◽  
The Common

We describe a simple effect predicted by standard quantum mechanics concerning a particle bound in a potential well brought to the zero-energy state by deformation of the well. When the effect takes place within a crack with impermeable walls the probability of localization of the particle reaches its maximum near the end of the crack. The wave function describing the bound particle may thus decohere far from the potential well. There are numerous instances of experimental data, gathered mostly by geochemists and other scientists over the last several decades, that are anomalous and defy all attempts to explain them by means of classical chemistry and physics. The common attribute of these data is a strange transport of particles over large distances that may be caused by the quantum effect described in the first part of the paper. The motivation for writing this paper is our hope to stimulate interest and critical testing of such an hypothesis. PACS Nos.: 03.65, 82.90, 91.90

scholarly journals On the Quantum Mechanical Wave Function as a Link Between Cognition and the Physical World: A Role for Psychology

2020 ◽  
Author(s):  
Douglas Michael Snyder
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Physical World ◽  
Wave Functions ◽  
Human Cognition ◽  
Quantum Mechanical ◽  
Mechanical Wave ◽  
Empirical Level ◽  
And Behavior ◽  
Empirical Demonstration

A straightforward explanation of fundamental tenets of quantum mechanics concerning the wave function results in the thesis that the quantum mechanical wave function is a link between human cognition and the physical world. The reticence on the part of physicists to adopt this thesis is discussed. A comparison is made to the behaviorists’ consideration of mind, and the historical roots of how the problem concerning the quantum mechanical wave function arose are discussed. The basis for an empirical demonstration that the wave function is a link between human cognition and the physical world is provided through developing an experiment using methodology from psychology and physics. Based on research in psychology and physics that relied on this methodology, it is likely that Einstein, Podolsky, and Rosen’s theoretical result that mutually exclusive wave functions can simultaneously apply to the same concrete physical circumstances can be implemented on an empirical level. Original article in The Journal of Mind and Behavior is on JSTOR at https://www.jstor.org/stable/pdf/43853678.pdf?seq=1 . Preprint on CERN preprint server at https://cds.cern.ch/record/569426 .

The electron

2018 ◽  
Author(s):  
L. Solymar ◽  
D. Walsh ◽  
R. R. A. Syms
Keyword(s):  
Wave Function ◽  
Potential Barrier ◽  
Wave Packets ◽  
Energy Levels ◽  
Quantum Mechanical ◽  
Potential Well ◽  
Mechanical Approach ◽  
Finite Barrier ◽  
The Subject ◽  
Quantum Mechanical Approach

Discusses with some rigour the properties of electrons, based on the Schrodinger equation. Introduces the concepts of wave function, quantum-mechanical operators, and wave packets. Examples cover the electron meeting an infinitely long potential barrier and the passage of electrons through a finite barrier (which leads to the phenomenon of tunnelling).The electron in a potential well is also discussed, solving the problem both for a finite and for an infinite well, and finding the permissible energy levels. The chapter is concluded with the philosophical implications that arise from the quantum-mechanical approach. Two limericks relevant to the subject are quoted.

EXACT WAVE FUNCTIONS OF MULTI-SPECIES ANYON QUANTUM MECHANICS

1993 ◽  
Vol 08 (29) ◽  
pp. 5101-5113 ◽  
Author(s):  
K.H. CHO ◽  
CHAIHO RIM ◽  
D.S. SOH
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Angular Momentum ◽  
Wave Functions ◽  
Quantum Mechanical ◽  
Potential Well ◽  
Quantum Mechanical System ◽  
Ladder Operators ◽  
Free System ◽  
The Many

We investigate the many-anyon quantum-mechanical system of multi-species and obtain algebraically the energy and the angular momentum eigenstates in a harmonic potential well, in a constant magnetic field and of free system using ladder operators. The eigenvalues and their multiplicity of the eigenstates are given.

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