| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000435479 |
| 005 | | 20200228095937 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781085629843 |
| 035 | |
▼a (MiAaPQ)AAI13879007 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 530 |
| 100 | 1 |
▼a Chang, Robert. |
| 245 | 10 |
▼a Random and Small-scale Quantum Ergodicity. |
| 260 | |
▼a [S.l.]:
▼b Northwestern University.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 156 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-03, Section: B. |
| 500 | |
▼a Advisor: Zelditch, Steve M. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Northwestern University, 2019. |
| 506 | |
▼a This item must not be sold to any third party vendors. |
| 520 | |
▼a This thesis contains results in mathematical quantum ergodicity in a probabilistic or a complex analytic setting. For the former, we show that a random orthonormal basis of spherical harmonics is almost surely quantum ergodic, in which the randomness is induced by the generalized Wigner ensemble. For the latter, we show that small-scale quantum ergodicity holds on a compact Kahler manifold equipped with a prequantum line bundle, or the Grauert tube of a compact, negatively curved, real analytic manifold. Furthermore, the nodal sets of the eigensections or the complexified eigenfunctions are also equidistributed on small scales. |
| 590 | |
▼a School code: 0163. |
| 650 | 4 |
▼a Mathematics. |
| 650 | 4 |
▼a Quantum physics. |
| 650 | 4 |
▼a Plasma physics. |
| 690 | |
▼a 0405 |
| 690 | |
▼a 0599 |
| 690 | |
▼a 0759 |
| 710 | 20 |
▼a Northwestern University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 81-03B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0163 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491118
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1816162 |
| 991 | |
▼a E-BOOK |