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위키데이터
- ID : Q7190517
말뭉치
- Picard–Lefschetz theory is applied to path integrals of quantum mechanics, in order to compute real-time dynamics directly.[1]
- A robust possibility for treating the quantum tunneling of a spacetime geometry is through a complex path integral and Picard-Lefschetz theory.[2]
- In mathematics, Picard–Lefschetz theory studies the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold.[3]
- It was introduced by Émile Picard for complex surfaces in his book Picard & Simart (1897), and extended to higher dimensions by Solomon Lefschetz (1924).[3]
- The monodromy action of π 1 (P1 – {x 1 , ..., x n }, x) on H k (Y x ) is described as follows by the Picard–Lefschetz formula.[3]
- As for the P-L theory, I do not think there are any textbook-level treatments, "Applied Picard–Lefschetz theory" by V.Vassiliev is probably your best option.[4]
- We demonstrate that complex saddle points have a natural interpretation in terms of the Picard-Lefschetz theory.[5]
- Picard-Lefschetz gives a complementing picture from a path-integral perspective.[6]
- The author also shows how these versions of the Picard-Lefschetz theory are used in studying a variety of problems arising in many areas of mathematics and mathematical physics.[7]
- In this work, we first solve complex Morse flow equations for the simplest case of a bosonic harmonic oscillator to discuss localization in the context of Picard-Lefschetz theory.[8]
- Motivated by Picard-Lefschetz theory, we write down a general formula for the index of N = 4 quantum mechanics with background R -symmetry gauge fields.[8]
- Topics covered include: invariants of complex singularities, topological aspects of complex singularities, the Milnor fibration, vanishing cycles, monodromies, Picard-Lefschetz theory.[9]
- Moreover, from the mirror geometry for the del Pezzos arise certain Diophantine equations which classify all quivers related by Picard-Lefschetz.[10]
- N=2 susy is related to the Picard-Lefschetz theory much in the same way as N=1 susy is related to Morse theory.[11]
소스
- ↑ Real-time Feynman path integral with Picard–Lefschetz theory and its applications to quantum tunneling
- ↑ Complex Quantum Tunneling, Picard-Lefschetz Theory, and the Decay of Black Holes
- ↑ 3.0 3.1 3.2 Picard–Lefschetz theory
- ↑ Reference for Picard-Lefschetz theory
- ↑ Toward Picard-Lefschetz Theory of Path Integrals and the Physics of Complex Saddles
- ↑ YTF 12
- ↑ Applied Picard-Lefschetz Theory: Buy Applied Picard-Lefschetz Theory by unknown at Low Price in India
- ↑ 8.0 8.1 More on homological supersymmetric quantum mechanics
- ↑ Course Catalogue
- ↑ Quiver theories, soliton spectra and Picard-Lefschetz transformations
- ↑ SINGULARITY-THEORY AND N=2 SUPERSYMMETRY
메타데이터
위키데이터
- ID : Q7190517