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Low-energy spectrum and finite temperature properties of quantum
Low-energy spectrum and finite temperature properties of quantum

... and the internal structure is only seen in correlation functions, which reveal the tendency to antiferromagnetic ordering of the electron spins, in agreement with the results of the Hubbard models. The formation of an antiferromagnetic chain of localized electrons is seen more clearly from the resul ...
Hydrogenic Rydberg atoms in strong magnetic fields: Theoretical
Hydrogenic Rydberg atoms in strong magnetic fields: Theoretical

... a mere inspection of the spect rum does not exhibit any perspicuous differences between thc structure of the spect rum below and above the critical energy. To find such differences it is necessary to look at more basic properties of the spectrum, e.g. the statis- ...
What is Quantum Thermodynamics?
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... The state of a system may change with time either spontaneously due to its internal dynamics or as a result of interactions with other systems, or both. Systems that cannot induce any effects on each other’s state are called isolated. Systems that are not isolated can influence each other in a number ...
A More “Universal” Atomic Model
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... for other nearby particles. This process where each electron receives a de Broglie wavelength from another was the original experimental basis of quantum theory. However, he removed the bare mass of the QED electron, which many felt made it too dependent on source waves to account for electron persi ...
Quantum Entanglement and Information Quantifier for Correlated
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Low-Temperature Phase Diagrams of Quantum Lattice
Low-Temperature Phase Diagrams of Quantum Lattice

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... force will be in a random direction and therefore the magnitude of the deflection will also be random. The pattern observed on the screen will then distinguish between ‘classical’ and ‘quantum ‘ behaviour of the atoms in the magnetic field. ...
What is String Theory?
What is String Theory?

Sourcing semiclassical gravity from spontaneously localized
Sourcing semiclassical gravity from spontaneously localized

... where δϱt ðrÞ is a white-noise in time with a potentially nontrivial space correlator which we will specify later. In CSL or DP, the same quantity ϱt ðrÞ is formally a fundamental stochastic (classical) field of the theory which can be taken as physical.2 In the following section, we will use this f ...
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Order by disorder in a four-flavor Mott insulator on the fcc lattice

... where α,β,μ,ν ∈ {A,B,C,D}. Generators on different sites commute. These 16 generators are the spin operators, which can be represented as dIR × dIR matrices, where dIR is the dimension of the irreducible representation of the SU(4) algebra which spans  theα local Hilbert space. More precisely, sinc ...
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The Discovery of Dirac Equation and its Impact on Present

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... mechanics the linear eigenvalue equations associated with energy and momentum operators are correctly formulated? It is worthy noticing that one of the postulates of quantum mechanics tells us that the eigenvalues of all operators that represent physically measurable quantities are real numbers. On ...
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... Albert Einstein explained the observations as follows: • the kinetic energy of the ejected electron is the difference between the energy of the photon and the energy needed to dislodge the electron from the metal. • if the individual photons do not have sufficient energy to dislodge electrons, no ph ...
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... The solution for the H atom can be generalized to H-like atoms. Hydrogenic (or hydrogen-like) atoms are ions which have a nucleus composed of Z protons (and Z neutrons), and a single electron (e.g. He+ , Li++ , Be 3+ ). The Hamiltonian is changed to account for the increased charge and mass of the n ...
Gibbs' paradox and black-hole entropy
Gibbs' paradox and black-hole entropy

... It is important to emphasize in this connection the important difference between identity and indistinguishability [9]. In classical mechanics, different particles are not identical even if they are indistinguishable; in principle, they can be identified and have therefore to be counted separately.3 ...
Page 1 Lecture: Quantum Optics Derivation of the Master Equation
Page 1 Lecture: Quantum Optics Derivation of the Master Equation

Unscrambling the Quantum Omelette of Epistemic and Ontic
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... The ontic view, in the context of QM, can be related to Albert Einstein’s philosophical position, who confronted Bohr’s epistemic understanding of physics. According to this view, it is the physical representation provided by a theory that which expresses what reality is about independently of human ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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