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Spin Geometry and Quantum Diffusion
Spin Geometry and Quantum Diffusion
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103652
- ISBN
- 9798290625935
- DDC
- 500
- 서명/저자
- Spin Geometry and Quantum Diffusion
- 발행사항
- [Sl] : California Institute of Technology, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 115 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
- 주기사항
- Advisor: Marcolli, Matilde.
- 학위논문주기
- Thesis (Ph.D.)--California Institute of Technology, 2025.
- 초록/해제
- 요약This thesis studies diffusion processes on spinor endomorphism algebras. The spinor and connection laplacian generated heat semigroups are shown to quantum dynamical semigroups, and after spectral truncation the existence of Evans-Hudson flows is established. The vacuum state expectation of the process is related to the spectral action principle in noncommutative geometry. Examples where the flow is proven to exist for untruncated laplacians are given. Convergence of finite dimensional approximations, through discretization and truncation, to spectral triples encoding Riemannian geometry and their statespaces as quantum metric spaces is also considered.
- 일반주제명
- Decomposition
- 일반주제명
- Stochastic models
- 일반주제명
- Quantum field theory
- 일반주제명
- Algebra
- 일반주제명
- Vector space
- 일반주제명
- Brownian motion
- 일반주제명
- Hilbert space
- 일반주제명
- Geometry
- 일반주제명
- Lie groups
- 일반주제명
- Quantum physics
- 일반주제명
- Theoretical physics
- 기타저자
- California Institute of Technology Physics Mathematics and Astronomy
- 기본자료저록
- Dissertations Abstracts International. 87-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103652
■006m o d
■007cr#unu||||||||
■020 ▼a9798290625935
■035 ▼a(MiAaPQ)AAI32098756
■035 ▼a(MiAaPQ)Caltech16730
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a500
■1001 ▼aGakkhar, Sitanshu.
■24510▼aSpin Geometry and Quantum Diffusion
■260 ▼a[Sl]▼bCalifornia Institute of Technology▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a115 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-04, Section: B.
■500 ▼aAdvisor: Marcolli, Matilde.
■5021 ▼aThesis (Ph.D.)--California Institute of Technology, 2025.
■520 ▼aThis thesis studies diffusion processes on spinor endomorphism algebras. The spinor and connection laplacian generated heat semigroups are shown to quantum dynamical semigroups, and after spectral truncation the existence of Evans-Hudson flows is established. The vacuum state expectation of the process is related to the spectral action principle in noncommutative geometry. Examples where the flow is proven to exist for untruncated laplacians are given. Convergence of finite dimensional approximations, through discretization and truncation, to spectral triples encoding Riemannian geometry and their statespaces as quantum metric spaces is also considered.
■590 ▼aSchool code: 0037.
■650 4▼aDecomposition
■650 4▼aStochastic models
■650 4▼aQuantum field theory
■650 4▼aAlgebra
■650 4▼aVector space
■650 4▼aBrownian motion
■650 4▼aHilbert space
■650 4▼aGeometry
■650 4▼aLie groups
■650 4▼aQuantum physics
■650 4▼aTheoretical physics
■690 ▼a0599
■690 ▼a0753
■71020▼aCalifornia Institute of Technology▼bPhysics, Mathematics and Astronomy.
■7730 ▼tDissertations Abstracts International▼g87-04B.
■790 ▼a0037
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358160▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
