Number-Theory Renormalization of Vacuum Energy: Number-theory renormalization of vacuum energy

Authors: Ivanov, M. G., Dudchenko, V. A., Naumov, V. V.

Source: p-Adic Numbers, Ultrametric Analysis and Applications. 15:284-311

Subject Terms: lattice QFT, Mathematics - Number Theory, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, G.2.3, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, renormalization, vacuum energy, number theory, High Energy Physics - Lattice, 81T25 (Primary) 81P05, 11A15, 11P05 (Secondary), FOS: Mathematics, Number Theory (math.NT), Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices

File Description: application/xml

Access URL: http://arxiv.org/abs/2307.11691
https://zbmath.org/7828534
https://doi.org/10.1134/s2070046623040039

A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators: A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators

Authors: Oltman, Izak

Source: Journal of Spectral Theory. 13:727-754

Subject Terms: Probability (math.PR), FOS: Physical sciences, General topics in linear spectral theory for PDEs, spectral theory, Mathematical Physics (math-ph), 01 natural sciences, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, Berezin-Toeplitz operators, Mathematics - Spectral Theory, Geometric quantization, Toeplitz operators, Hankel operators, Wiener-Hopf operators, nonselfadjoint operators, FOS: Mathematics, 0101 mathematics, Geometry and quantization, symplectic methods, Spectral Theory (math.SP), Mathematical Physics, Mathematics - Probability

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Access URL: http://arxiv.org/abs/2207.09599
https://zbmath.org/7761499
https://doi.org/10.4171/jst/459

Many-body excitations in trapped Bose gas: A non-Hermitian approach: Many-body excitations in trapped Bose gas: a non-Hermitian approach

Authors: Grillakis, Manoussos, Margetis, Dionisios, Sorokanich, Stephen

Source: Quarterly of Applied Mathematics. 81:87-126

Subject Terms: variational principle, Applications of operator theory to differential and integral equations, nonlinear integro-partial differential equation, quasiparticle, 01 natural sciences, operator Riccati equation, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, Fock space, non-self-adjoint operators, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Bosonic systems in quantum theory, Spectral theory and eigenvalue problems for partial differential equations, quantum many-body dynamics, PDEs in connection with quantum mechanics

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Sharp spectral asymptotics for nonreversible metastable diffusion processes

Authors: Laurent Michel, Dorian Le Peutrec

Source: Probability and Mathematical Physics. 1:3-53

Subject Terms: FOS: Physical sciences, Estimates of eigenvalues in context of PDEs, spectral theory, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, metastability, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, nonreversible overdamped Langevin dynamics, FOS: Mathematics, Eyring-Kramers formulas, 0101 mathematics, Diffusion processes, Spectral Theory (math.SP), Mathematical Physics, PDEs in connection with statistical mechanics, semiclassical analysis, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: https://msp.org/pmp/2020/1-1/pmp-v1-n1-p02-s.pdf
http://arxiv.org/abs/1907.09166
http://export.arxiv.org/pdf/1907.09166
https://ui.adsabs.harvard.edu/abs/2019arXiv190709166L/abstract
https://arxiv.org/pdf/1907.09166
https://arxiv.org/abs/1907.09166
https://hal.archives-ouvertes.fr/hal-02189630/document
https://msp.org/pmp/2020/1-1/pmp-v1-n1-p02-s.pdf
https://msp.org/pmp/2020/1-1/p02.xhtml
https://hal.archives-ouvertes.fr/hal-02189630

Lewis–Riesenfeld invariants for PT-symmetrically coupled oscillators from two-dimensional point transformations and Lie algebraic expansions: Lewis-Riesenfeld invariants for PT-symmetrically coupled oscillators from two-dimensional point transformations and Lie algebraic expansions

Authors: Andreas Fring, Rebecca Tenney

Source: Journal of Mathematical Physics. 63

Subject Terms: Finite-dimensional groups and algebras motivated by physics and their representations, Quantum Physics, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), 01 natural sciences, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis, Nonselfadjoint operator theory in quantum theory including creation and destruction operators

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Access URL: http://arxiv.org/abs/2206.15191

Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity

Authors: Abdellah Touati, Zaim Slimane

Source: Physics Letters B, Vol 848, Iss, Pp 138335-(2024)
Physics Letters

Subject Terms: Measures of association (correlation, canonical correlation, etc.), Black holes, Physics, QC1-999, correlation fcorreunction, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Orthogonal and unitary groups in metric geometry, Commutation relations and statistics as related to quantum mechanics (general), General Relativity and Quantum Cosmology, Tunneling in quantum theory, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, quantum tunneling process, non-commutative gauge theory, Correlation function, Yang-Mills and other gauge theories in mechanics of particles and systems, Applications of Lie groups to the sciences, explicit representations, Quantum tunneling process, Schwarzschild black hole, Entropy and other invariants, Non-commutative gauge theory

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Access URL: http://arxiv.org/abs/2310.02445
https://zbmath.org/7802247
https://doi.org/10.1016/j.physletb.2023.138335
https://doaj.org/article/14ef89e7b74c4f2ea9e36068ec13d4c9

Search for the signal of vector-like bottom quark at LHeC in the final state with 3 b-jets: Search for the signal of vector-like bottom quark at LHeC in the final state with \(3b\)-jets

Authors: Qing-Guo Zeng, Yu-Si Pan, Jian Zhang

Source: Nuclear Physics B, Vol 995, Iss, Pp 116347-(2023)
Nuclear Physics

Subject Terms: Parametric tolerance and confidence regions, Nuclear and particle physics. Atomic energy. Radioactivity, Unified quantum theories, QC770-798, Waves and radiation in optics and electromagnetic theory, Experimental work for problems pertaining to quantum theory, Hamilton-Jacobi equations in mechanics, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, Signal detection and filtering (aspects of stochastic processes)

File Description: application/xml

Access URL: https://zbmath.org/7747981
https://doi.org/10.1016/j.nuclphysb.2023.116347
https://doaj.org/article/4480eba7a62841e3861dc39826059d57

Eigenfunction Expansions Associated with the Schrödinger Operator with a Complex Potential and the Scattering Theory: Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory

Authors: Kiyoshi Mochizuki

Source: Publications of the Research Institute for Mathematical Sciences. 4:419-466

Subject Terms: Schrödinger operator, Schrödinger equation, Scattering theory for PDEs, quantum theory, Nonselfadjoint operator theory in quantum theory including creation and destruction operators

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=4&iss=2&rank=11
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=4&iss=2&rank=11
http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=4&iss=2&rank=11
http://ci.nii.ac.jp/naid/110001674040
https://www.jstage.jst.go.jp/article/kyotoms1965/4/2/4_2_419/_pdf