Hyperbolic complex structures in physics
نویسندگان
چکیده
منابع مشابه
Institute for Mathematical Physics on Complex Structures in Physics on Complex Structures in Physics
Complex numbers enter fundamental physics in at least two rather distinct ways. They are needed in quantum theories to make linear diier-ential operators into Hermitian observables. Complex structures appear also, through Hodge duality, in vector and spinor spaces associated with space-time. This paper reviews some of these notions. Charge conjugation in multidimensional geometries and the appe...
متن کاملOn Complex Structures in Physics
Complex numbers enter fundamental physics in at least two rather distinct ways. They are needed in quantum theories to make linear differential operators into Hermitian observables. Complex structures appear also, through Hodge duality, in vector and spinor spaces associated with space-time. This paper reviews some of these notions. Charge conjugation in multidimensional geometries and the appe...
متن کاملStatistical physics for complex cosmic structures
Cosmic structures at large scales represent the earliest and most extended form of matter condensation. In this lecture we review the application of the methods and concepts of modern statistical physics to these structures. This leads to a new perspective in the field which can be tested by the many new data which are appearing in the near future. In particular, galaxy structures show fractal ...
متن کاملComplex Hyperbolic Cone Structures on the Configuration Spaces
The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space in this paper. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne-Mostow and by Thurston. We first confirm that these families are the same. Then in view of the deformation theory for real hyperbolic con...
متن کاملHyperbolic Billiards and Statistical Physics
Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture testing in dynamics, geometry, mathematical physics and spectral theory. This survey is devoted to planar hyperbolic billiards with emphasis on their applications in statistical physics, where they provide many physically interesting and mathematically tractable models.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1993
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530244