Adaptive Perturbation Theory: Quantum Mechanics and Field Theory [PDF]
Nuclear Physics B - Proceedings Supplements, 2005 Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that are widely believed not to be solvable by such methods.
Halliday +5 more
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Adaptive Perturbation Theory I: Quantum Mechanics [PDF]
, 2005 Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that heretofore were not believed to be obtainable by such methods. The novel feature of adaptive perturbation theory is
/SLAC, Weinstein, Marvin
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Perturbation Theory for Singular Potentials in Quantum Mechanics [PDF]
International Journal of Modern Physics A, 1998 We study perturbation theory in certain quantum mechanics problems in which the perturbing potential diverges at some points, even though the energy eigenvalues are smooth functions of the coefficient of the potential.
Bergman O. +4 more
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Alternative analysis to perturbation theory [PDF]
The European Physical Journal D, 2011 We develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function, additionally we ...
B. Simon +11 more
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Further N-Frame networking dynamics of conscious observer-self agents via a functional contextual interface: predictive coding, double-slit quantum mechanical experiment, and decision-making fallacy modeling as applied to the measurement problem in humans and AI [PDF]
Frontiers in Computational NeuroscienceArtificial intelligence (AI) has made some remarkable advances in recent years, particularly within the area of large language models (LLMs) that produce human-like conversational abilities via utilizing transformer-based architecture. These advancements
Darren J. Edwards
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The perturbation theory of matrix mechanics based on its canonical transformations
Results in Physics, 2022 We elucidate that the canonical transformations of matrix mechanics are just the transformations of different representations of the standard quantum mechanics, reproduce the non-degenerate, degenerate and time-dependent perturbation theory in three men ...
Yong-Yi Huang
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Generalized uncertainty principle and burning stars
Frontiers in Astronomy and Space Sciences, 2022 Gamow’s theory of the implications of quantum tunneling for star burning has two cornerstones: quantum mechanics and the equipartition theorem. It has been proposed that both of these foundations are affected by the existence of a non-zero minimum length,
H. Moradpour +3 more
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Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics
Discrete and Continuous Models and Applied Computational Science, 2022 One of the possible versions of quantum mechanics, known as Kuryshkin-Wodkiewicz quantum mechanics, is considered. In this version, the quantum distribution function is positive, but, as a retribution for this, the von Neumann quantization rule is ...
Alexander V. Zorin +2 more
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Spectral Problems for Quasinormal Modes of Black Holes
Universe, 2021 This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems.
Yasuyuki Hatsuda, Masashi Kimura
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Perturbative ground states of the 1+1d double-well
European Physical Journal C: Particles and Fields, 2020 At second order in perturbation theory, we find the ground states of the $$\phi ^4$$ ϕ4 double-well quantum field theory in 1+1 dimensions. The operators which create these ground states from the free vacuum are constructed explicitly at this order, as ...
Hui Liu, Yao Zhou, Jarah Evslin
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