서지주요정보
비선형계에 나타나는 공명과 혼돈의 상관 관계 연구 = Study of the relation between resonance and chaos in driven nonlivear systems
서명 / 저자 비선형계에 나타나는 공명과 혼돈의 상관 관계 연구 = Study of the relation between resonance and chaos in driven nonlivear systems / 신주용.
저자명 신주용 ; Shin, Ju-Yong
발행사항 [대전 : 한국과학기술원, 1992].
Online Access 원문보기 원문인쇄

소장정보

등록번호

8002574

소장위치/청구기호

학술문화관(문화관) 보존서고

MAP 92018

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초록정보

Nonlinear systems driven by an external field can exhibit chaotic behavior when treated classically. In this work, a quantum-mechanical study of driven nonlinear systems is presented, with a particular attention to the generation and break up of resonance zones and their relation to the chaotic behavior. The systems studied are a particle in a single square-well potential, in a double square-well potential and in the one-dimensional hydrogen atom. Resonance zones are generated in a nonlinear system when it is subjected to a sinusoidal external field. In a classical treatment of a particle in a single square-well potential, a resonance zone is broken and phase-space trajectories become chaotic when the field strength exceeds a critical value. In a quantum treatment, the breaking of resonance zones leads to delocalization of the particle resulting in the spreading of probability amplitudes over a large number of energy levels. For the case of a double square-well potential, the delocalization occurs more easily and the probability amplitudes spread more widely. This can be understood when the difference in the energy level structure between the single and double square-well potentials is considered. The study presented also provides a basic framework in which many aspects of field-induced resonance and delocalization that occur in the hydrogen atom reported in the literature can be understood.

서지기타정보

서지기타정보
청구기호 {MAP 92018
형태사항 ii, 64 p. : 삽도 ; 26 cm
언어 한국어
일반주기 저자명의 영문표기 : Ju-Yong Shin
지도교수의 한글표기 : 이해웅
지도교수의 영문표기 : Hai-Woong Lee
학위논문 학위논문(석사) - 한국과학기술원 : 물리학과,
서지주기 참고문헌 : p. 63-64
주제 Quantum chaos.
Resonance.
Chaotic behavior in systems.
비선형 시스템. --과학기술용어시소러스
공명. --과학기술용어시소러스
Nonlinear theories.
혼돈
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