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The physical nature of information
The physical nature of information

... to supply us with unlimited memory or unlimited Turing machine tapes. Therefore, continuum mathematics is not executable, and physical laws which invoke that can not really be satisfactory. They are references to illusionary procedures. Can we not prove that cos 2 0 + sin 2 0 = I exactly, and not ju ...
Beyond the Cookie Cutter Paradigm
Beyond the Cookie Cutter Paradigm

... contains. Let us now to try to conceive of the spatial aspect of the physical world and of the shapes of material objects in agreement with quantum mechanics and in defiance of the CCP. Space first. Physical space, as distinct from phenomenal space, is a system of spatial relations between material ...
1203.3054v2
1203.3054v2

A quantum mechanical model of adaptive mutation
A quantum mechanical model of adaptive mutation

... only occur in cells that are not dividing or dividing only rarely, (ii) they are time-dependent not replication-dependent, (iii) they appear only after the cell is exposed to the selective pressure. There is, therefore, no entirely satisfactory theory to account for how a cell can selectively mutate ...
quantum brownian motion and the third law of thermodynamics
quantum brownian motion and the third law of thermodynamics

O_4 Theory (III) QUANTUM MECHANICAL STUDY OF THE FLEISCHMANN-PONS EFFECT
O_4 Theory (III) QUANTUM MECHANICAL STUDY OF THE FLEISCHMANN-PONS EFFECT

Security of Quantum Key Distribution Using d
Security of Quantum Key Distribution Using d

... schemes that have been considered use either two bases for a four-level system [9] or four bases for a qutrit [10], but their security was investigated against simple nonoptimal attacks only. In this Letter, we investigate more general quantum cryptosystems where the encoding is made into qudits wit ...
Grand canonical ensemble
Grand canonical ensemble

...  BT = n   for T  TC ...
part 1
part 1

... Searching for Coherences Using the same Fourier transform technique as in the density matrix measurement, we have performed a search of our atomic beam source for any intrinsic momentum coherences (which would appear as amplitude modulation) up to a frequency of 100 kHz. To do this, we simply looked ...
Spin-polarized transport through two quantum dots Interference and Coulomb correlation effects  P.
Spin-polarized transport through two quantum dots Interference and Coulomb correlation effects P.

... calculate the higher order Green functions from the corresponding equations of motion. The average values of the occupation numbers (which enter the expressions for the Green functions) and the Green functions have been calculated self-consistently. In section 2, we briefly describe the model as wel ...
Quantum networking with single ions J¨ urgen Eschner
Quantum networking with single ions J¨ urgen Eschner

Document
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... either wave or particle, but not both can be observed simultaneously. • It’s like a coin with two faces. But one can only see one side of the coin but not the other at any instance • This is the so-called waveparticle duality ...
Non-relativistic quantum theory consistent with
Non-relativistic quantum theory consistent with

... tP and/or slow processes, when absolute value of ∂Ψ is small. In this case, solutions ∂t of classical time dependent Schrödinger equation for multi-particle systems are accurate enough. For a case of constant energy of the quantum system E = const, potential energy U not depending on time, and infi ...
Corrals and Critical Behavior of the Distribution of Fluctuational Paths
Corrals and Critical Behavior of the Distribution of Fluctuational Paths

... Large fluctuations, although infrequent, play a fundamental role in a broad range of processes, from nucleation at phase transitions to failures of electronic devices. In many cases the fluctuating systems of interest are far from thermal equilibrium. Examples include lasers, pattern forming systems ...
Ab initio Quantum and ab initio Molecular Dynamics of the
Ab initio Quantum and ab initio Molecular Dynamics of the

... increasing the kinetic energy helps to overcome the barrier. The second class consists of adsorption systems like H2 25,26,27,28,29,30,31 , O2 32,33,34,35 , and N2 36 on various transition metal surfaces. In particular the well-studied system H2 /Pd(100),5,7,25,37,38,39 which is the subject of our s ...
Chapter 4 The Two Slit Experiment
Chapter 4 The Two Slit Experiment

Microcanonical distributions for quantum systems
Microcanonical distributions for quantum systems

CCR 7: Derivation of the Boltzmann Distribution
CCR 7: Derivation of the Boltzmann Distribution

Theory and simulations of quantum glass forming liquids
Theory and simulations of quantum glass forming liquids

... Understanding the fundamental causes of the dramatic slowdown of dynamics when a liquid transforms into a glass is still a subject of great debate.1–4 Essentially all discussion of the glass transition has focused on the strictly classical regime of liquid state behavior, namely where the de Broglie ...
Scattering with longitudinally coherent matter beams F. Robicheaux
Scattering with longitudinally coherent matter beams F. Robicheaux

Quantum Seeing in the Dark
Quantum Seeing in the Dark

Learn more. - Navillum Nanotechnologies
Learn more. - Navillum Nanotechnologies

... efficiency of these devices. This can be seen in the new 4K UHD TVs and Amazon Kindle Fire HDX devices. In medical applications, the higher photostability of Quantum dots provide better optical probes for cancer imaging. And in solar energy generation, solar cells with Quantum dots as sensitizers ar ...
Web FTP - Visicom Scientific Software
Web FTP - Visicom Scientific Software

Chemical Bonding as a Superposition Phenomenon
Chemical Bonding as a Superposition Phenomenon

... exclusion principle”, “hybridization”, “resonance”, and the like (if not into mathematical details of the Schrödinger equation itself ). It is increasingly clear that such quantal concepts provide the unified framework for satisfactory elucidation of all chemical phenomena. Today, few scientists wou ...
Statistical Mechanics: An overview
Statistical Mechanics: An overview

< 1 ... 108 109 110 111 112 113 114 115 116 ... 305 >

Probability amplitude



In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.
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