Exact Classical Quantum‐Mechanical Solutions for One‐ through Twenty‐Electron Atoms

2005 ◽  
Vol 18 (3) ◽  
pp. 321-361 ◽  
Author(s):  
Randell L. Mills
Keyword(s):  
Quantum Mechanical ◽  
Classical Quantum

On Quantum Capacity and its Bound

2003 ◽  
Vol 06 (02) ◽  
pp. 301-310 ◽  
Author(s):  
Masanori Ohya ◽  
Igor V. Volovich
Keyword(s):  
Quantum Channel ◽  
Quantum Mechanical ◽  
Quantum Capacity ◽  
Classical Quantum ◽  
Mutual Entropy

The quantum capacity of a pure quantum channel and that of classical-quantum-classical channel are discussed in detail based on the fully quantum mechanical mutual entropy. It is proved that the quantum capacity generalizes the so-called Holevo bound.

scholarly journals Introduction to “Quantum Light Theory” (QLT)

2021 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Electromagnetic Field ◽  
Fundamental Question ◽  
Quantum Mechanical ◽  
Quantum Field ◽  
Fundamental Interaction ◽  
Electromagnetic Equation ◽  
Classical Quantum ◽  
Light Theory

Quantum Light Theory (QLT) is the development in Quantum Field Theory (QFT). In Quantum Field Theory, the fundamental interaction fields are replacing the concept of elementary particles in Classical Quantum Mechanics. In Quantum Light Theory the fundamental interaction fields are being replaced by One Single Field. The Electromagnetic Field, generally well known as Light. To realize this theoretical concept, the fundamental theory has to go back in time 300 years, the time of Isaac Newton to follow a different path in development. Nowadays experiments question more and more the fundamental concepts in Quantum Field Theory and Classical Quantum Mechanics. The publication “Operational Resource Theory of Imaginarity“ in “Physical Review Letters” in 2021 (Ref. [2]) presenting the first experimental evidence for the measurability of “Quantum Mechanical Imaginarity” directly leads to the fundamental question in this experiment: How is it possible to measure the imaginary part of “Quantum Physical Probability Waves”? This publication provides an unambiguously answer to this fundamental question in Physics, based on the fundamental “Gravitational Electromagnetic Interaction” force densities. The “Quantum Light Theory” presents a new “Gravitational-Electromagnetic Equation” describing Electromagnetic Field Configurations which are simultaneously the Mathematical Solutions for the Quantum Mechanical “Schrodinger Wave Equation” and more exactly the Mathematical Solutions for the “Relativistic Quantum Mechanical Dirac Equation”. The Mathematical Solutions for the “Gravitational-Electromagnetic Equation” carry Mass, Electric Charge and Magnetic Spin at discrete values.

NOISE AND CORRELATED TRANSPORT IN ION CHANNELS

2004 ◽  
Vol 04 (01) ◽  
pp. L171-L178 ◽  
Author(s):  
H. HAKEN
Keyword(s):  
Occupation Number ◽  
Rate Equations ◽  
Quantum Mechanical ◽  
Transition Rates ◽  
Operator Equations ◽  
Occupation Numbers ◽  
Classical Quantum ◽  
The Individual ◽  
Quantum Mechanical Operator ◽  
Mechanical Operator

The motion of an ion through a channel is described as a classical/quantum mechanical hopping process between the individual sites of a channel. The transition rates are due to the coupling of an ion to suitable reservoirs. If fluctuating forces are added to the rate equations for the occupation numbers, the equations become quantum mechanical operator equations. Using previous results, the fluctuating forces are uniquely determined by the requirement of quantum mechanical consistency. The resulting equations are solved for several cases and the occupation number fluctuations discussed. Particular emphasis is laid on a model of correlated transport.

scholarly journals The classical-quantum divergence of complexity in modelling spin chains

Quantum ◽  
2017 ◽  
Vol 1 ◽  
pp. 25 ◽  
Author(s):  
Whei Yeap Suen ◽  
Jayne Thompson ◽  
Andrew J. P. Garner ◽  
Vlatko Vedral ◽  
Mile Gu
Keyword(s):  
Stochastic Process ◽  
Quantum Mechanics ◽  
Complexity Science ◽  
Spin Chains ◽  
Quantum Mechanical ◽  
Quantum Model ◽  
Qualitative Behaviour ◽  
Ising Spin ◽  
Statistical Complexity ◽  
Classical Quantum

The minimal memory required to model a given stochastic process - known as the statistical complexity - is a widely adopted quantifier of structure in complexity science. Here, we ask if quantum mechanics can fundamentally change the qualitative behaviour of this measure. We study this question in the context of the classical Ising spin chain. In this system, the statistical complexity is known to grow monotonically with temperature. We evaluate the spin chain's quantum mechanical statistical complexity by explicitly constructing its provably simplest quantum model, and demonstrate that this measure exhibits drastically different behaviour: it rises to a maximum at some finite temperature then tends back towards zero for higher temperatures. This demonstrates how complexity, as captured by the amount of memory required to model a process, can exhibit radically different behaviour when quantum processing is allowed.

Strongly Driven Semiconductor Quantum Wells

1994 ◽  
Vol 116 ◽  
pp. 417-423 ◽  
Author(s):  
Martin Holthaus
Keyword(s):  
Laser Radiation ◽  
Hamiltonian System ◽  
Quantum Wells ◽  
Far Infrared ◽  
Quantum Mechanical ◽  
Driven Systems ◽  
Periodically Driven ◽  
Semiconductor Quantum Wells ◽  
Classical Quantum ◽  
Quantum Correspondence

The influence of resonances in a classical Hamiltonian system on its quantum mechanical counterpart is particularly transparent in periodically driven systems with one degree of freedom. Wide semiconductor quantum wells, subjected to strong far-infrared laser radiation, may be suitable objects to study the classical-quantum correspondence experimentally.

scholarly journals Analysing causal structures in generalised probabilistic theories

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 236 ◽  
Author(s):  
Mirjam Weilenmann ◽  
Roger Colbeck
Keyword(s):  
Classical Theory ◽  
Convex Cone ◽  
Causal Explanation ◽  
Causal Structure ◽  
Quantum Mechanical ◽  
Probabilistic Theory ◽  
Special Cases ◽  
Classical Quantum ◽  
Causal Structures ◽  
Probabilistic Theories

Causal structures give us a way to understand the origin of observed correlations. These were developed for classical scenarios, but quantum mechanical experiments necessitate their generalisation. Here we study causal structures in a broad range of theories, which include both quantum and classical theory as special cases. We propose a method for analysing differences between such theories based on the so-called measurement entropy. We apply this method to several causal structures, deriving new relations that separate classical, quantum and more general theories within these causal structures. The constraints we derive for the most general theories are in a sense minimal requirements of any causal explanation in these scenarios. In addition, we make several technical contributions that give insight for the entropic analysis of quantum causal structures. In particular, we prove that for any causal structure and for any generalised probabilistic theory, the set of achievable entropy vectors form a convex cone.

scholarly journals Inflationary quantum dynamics and backreaction using a classical-quantum correspondence

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Reginald Christian Bernardo
Keyword(s):  
Quantum Dynamics ◽  
Approximate Analytical Solution ◽  
Quantum Mechanical ◽  
Quantum Field ◽  
Semiclassical Gravity ◽  
Klein Gordon ◽  
Classical Quantum ◽  
Hubble Horizon ◽  
Quantum Correspondence ◽  
Classical Background

AbstractWe study inflationary dynamics using a recently introduced classical-quantum correspondence for investigating the backreaction of a quantum mechanical degree of freedom to a classical background. Using specifically a coupled Einstein–Klein–Gordon system, an approximation that holds well during the very early inflationary era when modes are very deep inside the Hubble horizon, we show that the backreaction of a mode of the quantum field will renormalize the Hubble parameter only if the mode’s wavelength is longer than some threshold Planckian length scale. Otherwise, the mode will destabilize the inflationary era. We also present an approximate analytical solution that supports the existence of such short-wavelength threshold and compare the results of the classical-quantum correspondence with the traditional perturbative-iterative method in semiclassical gravity.

scholarly journals Introduction to “Quantum Light Theory” (QLT) (version 2.0)

2021 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Electromagnetic Field ◽  
Fundamental Question ◽  
Quantum Mechanical ◽  
Quantum Field ◽  
Fundamental Interaction ◽  
Electromagnetic Equation ◽  
Classical Quantum ◽  
Light Theory

Quantum Light Theory (QLT) is the development in Quantum Field Theory (QFT). In Quantum Field Theory, the fundamental interaction fields are replacing the concept of elementary particles in Classical Quantum Mechanics. In Quantum Light Theory the fundamental interaction fields are being replaced by One Single Field. The Electromagnetic Field, generally well known as Light. To realize this theoretical concept, the fundamental theory has to go back in time 300 years, the time of Isaac Newton to follow a different path in development. Nowadays experiments question more and more the fundamental concepts in Quantum Field Theory and Classical Quantum Mechanics. The publication “Operational Resource Theory of Imaginarity“ in “Physical Review Letters” in 2021 (Ref. [2]) presenting the first experimental evidence for the measurability of “Quantum Mechanical Imaginarity” directly leads to the fundamental question in this experiment: How is it possible to measure the imaginary part of “Quantum Physical Probability Waves”? This publication provides an unambiguously answer to this fundamental question in Physics, based on the fundamental “Gravitational Electromagnetic Interaction” force densities. The “Quantum Light Theory” presents a new “Gravitational-Electromagnetic Equation” describing Electromagnetic Field Configurations which are simultaneously the Mathematical Solutions for the Quantum Mechanical “Schrodinger Wave Equation” and more exactly the Mathematical Solutions for the “Relativistic Quantum Mechanical Dirac Equation”. The Mathematical Solutions for the “Gravitational-Electromagnetic Equation” carry Mass, Electric Charge and Magnetic Spin at discrete values.

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