Wave Theory

Author(s):  
M. Suhail Zubairy

One of the earliest and most important tenets of quantum mechanics is the wave-particle duality: light behaves sometimes like a wave and at other times as particle and similarly an electron can also behave both like a particle and as a wave. When the formal laws of quantum mechanics are formulated, the central quantity that describes the particles is the wave function. This points to the need for a good understanding of the properties of the waves. This chapter introduces the concepts and most essential applications that are required to follow the discussion of quantum mechanical laws and systems. The basic characteristics of the waves, such as the superposition principle are presented, and the interference and the diffraction phenomena are discussed. The Young’s double slit experiment in analysed and the formation of interference pattern is explicitly shown. The Rayleigh criterion for the microscopic resolution is also derived.

2015 ◽  
Vol 7 (3) ◽  
pp. 1916-1922
Author(s):  
Jeffrey H Boyd

Wave particle duality is a mistake. Another option was neither conceived nor debated, which is a better foundation for quantum mechanics. The Theory of Elementary Waves (TEW) is based on the idea that particles follow zero energy waves backwards. A particle cannot be identical with its wave if they travel in opposite directions. TEW is the only form of local realism that is consistent with the results of the experiment by Aspect, Dalibard and Roger (1982). Here we show that 1. although QM teaches that complementarity in a double slit experiment cannot be logically explained, TEW explains it logically, without wave function collapse, and 2. gives an unconventional explanation of the Davisson Germer experiment. 3. There is empirical evidence for countervailing waves and particles and 4. zero energy waves. 5. TEW clarifies our understanding of probability amplitudes and supports quantum math. 6. There is an untested experiment for which TEW and wave particle duality predict different outcomes. If TEW is valid, then wave particle duality is not necessary for quantum math, which is the most accurate and productive science ever. With a more solid foundation, new vistas of science open, such as the study of elementary waves.


2013 ◽  
Vol 11 (08) ◽  
pp. 1330002 ◽  
Author(s):  
JOSEPH M. RENES

Complementarity is one of the central mysteries of quantum mechanics, dramatically illustrated by the wave-particle duality in Young's double-slit experiment, and famously regarded by Feynman as "impossible, absolutely impossible to describe classically, [and] which has in it the heart of quantum mechanics" (emphasis original).1 The overarching goal of this thesis is to demonstrate that complementarity is also at the heart of quantum information theory, that it allows us to make (some) sense of just what information "quantum information" refers to, and that it is useful in understanding and constructing quantum information processing protocols.


2019 ◽  
Vol 34 (18) ◽  
pp. 1950139 ◽  
Author(s):  
Jaume Giné

The double-slit experiment is a demonstration of wave-particle duality and one of the most fundamental experiments that help us understand the nature of quantum mechanics. In this work, we give a new explanation of this experiment in terms of the uncertainty principle and vacuum fluctuations. This explanation allows one to understand why the electron interferes with itself when being shot through the double-slit.


2015 ◽  
Vol 10 (2) ◽  
pp. 2692-2695
Author(s):  
Bhekuzulu Khumalo

Heat has often been described as part of the energy transfer process. Information theory says everything is information. If everything is information then what type of information is heat, this question can be settled by the double slit experiment, but we must know what we are looking for. 


2021 ◽  
Author(s):  
Hui Peng

Abstract Young’s double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and pilot waves. In this article, to study the mystery, we proposed and carried out comprehensive double slit experiments, which demonstrate two postulates related to double slit experiments: (1) before striking at the slide of a double slit, photons emitted by a laser source behave as particles; (2) before striking at the detector, photons behave as particles. Progress in studying the mystery of the double slit experiment is presented.


2021 ◽  
Author(s):  
Hui Peng

Abstract The particle nature of the photons was experimentally confirmed. The static straight line diffraction pattern of the normal grating experiments has been shown experimentally. The phenomenon of the dynamic curved diffraction pattern of the grating experiment have been shown in separate experiments. In this article, the new experiments are proposed and performed, which show that the particle nature of the photons, the static straight line diffraction patterns, and the dynamic curved, expanded and inclined diffraction patterns co-exist in the same grating experiment simultaneously. The novel phenomena make the Feynman’s mystery of the normal double slit experiment more mysterious, violate Bohr’s complementarity principle, and provide comprehensive information/data for studying the wave-particle duality and developing new theoretical model.


1997 ◽  
Vol 52 (5) ◽  
pp. 398-402 ◽  
Author(s):  
D. Sen ◽  
A. N. Basu ◽  
S. Sengupta

Abstract It is argued that two distinct types of complementarity are implied in Bohr's complementarity principle. While in the case of complementary variables it is the quantum mechanical uncertainty relation which is at work, the collapse hypothesis ensures this exclusiveness in the so-called wave-particle complementarity experiments. In particular it is shown that the conventional analysis of the double slit experiment which invokes the uncertainty principle to explain the absence of the simultaneous knowledge of the which-slit information and the interference pattern is incorrect and implies consequences that are quantum mechanically inconsistent.


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