有恶臭 发表于 2025-3-27 00:14:00

Dynamics,The purpose of this chapter is to investigate the existence and a key property – conservation of probability – of solutions of the Schrödinger equation for a particle of mass . in a potential .. The relevant background material on linear operators is reviewed in the Mathematical Supplement Chapter 25.

champaign 发表于 2025-3-27 03:06:21

http://reply.papertrans.cn/63/6261/626050/626050_32.png

CHART 发表于 2025-3-27 08:43:17

http://reply.papertrans.cn/63/6261/626050/626050_33.png

Psa617 发表于 2025-3-27 11:25:34

http://reply.papertrans.cn/63/6261/626050/626050_34.png

Rotator-Cuff 发表于 2025-3-27 15:03:08

Bound States and Variational Principle,In this chapter we develop powerful techniques for proving existence of bound states (eigenfunctions) corresponding to isolated eigenvalues. We also give estimates of their number.

代理人 发表于 2025-3-27 20:38:33

http://reply.papertrans.cn/63/6261/626050/626050_36.png

pulse-pressure 发表于 2025-3-28 00:53:22

Existence of Atoms and Molecules,In this chapter we prove existence of stationary, well localized and stable states of atoms and, in a certain approximation, molecules. These are the lowest energy states, and their existence means that our quantum systems exist as well-localized objects, and do not disintegrate into fragments under sufficiently small perturbations.

使激动 发表于 2025-3-28 05:44:37

,Born–Oppenheimer Approximation and Adiabatic Dynamics,In this chapter, we discuss the Born–Oppenheimer approximation of molecular physics. This approximation lies at the foundation of quantum chemistry. It gave rise to adiabatic theory (see Sect. 12.5) in quantum mechanics and to multiscale analysis in mathematics and physics.

混沌 发表于 2025-3-28 09:39:09

http://reply.papertrans.cn/63/6261/626050/626050_39.png

大沟 发表于 2025-3-28 11:40:04

Open Quantum Systems,In this chapter, we introduce and study the notion of open quantum system, generalizing that of the quantum system we have dealt with so far. This notion lies at the foundation of quantum information theory.
页: 1 2 3 [4] 5 6 7
查看完整版本: Titlebook: Mathematical Concepts of Quantum Mechanics; Stephen J. Gustafson,Israel Michael Sigal Textbook 2020Latest edition Springer-Verlag GmbH Ger