標題: Titlebook: Classical and Quantum Dynamics; from Classical Paths Walter Dittrich,Martin Reuter Textbook 19921st edition Springer-Verlag Berlin Heidelbe [打印本頁] 作者: Grant 時間: 2025-3-21 17:40
書目名稱Classical and Quantum Dynamics影響因子(影響力)
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書目名稱Classical and Quantum Dynamics讀者反饋學科排名
作者: OFF 時間: 2025-3-21 21:29
Jacobi Fields, Conjugate Points,particular, we want to investigate the conditions under which a path is a minimum of the action and those under which it is merely an extremum. For illustrative purposes we consider a particle in two-dimensional real space. If we parametrize the path between points . and . by ?, then Jacobi’s principle states: 作者: 遺傳 時間: 2025-3-22 00:29 作者: 擦掉 時間: 2025-3-22 06:30
The KAM Theorem,ator .(θ., .) converges (according to Newton’s procedure) and thus the invariant tori are not destroyed. The KAM theorem is valid for systems with two and more degrees of freedom. However, in the following, we shall deal exclusively with the case of two degrees of freedom.作者: 自戀 時間: 2025-3-22 12:32
http://image.papertrans.cn/c/image/227162.jpg作者: 熒光 時間: 2025-3-22 15:06 作者: 熒光 時間: 2025-3-22 18:57
A Classification-based Review RecommenderWe begin this chapter by deriving a few laws of nonconservation in mechanics. To this end we first consider the change of the action under rigid space translation δ. = δε. and δ.(.) = 0. Then the noninvariant part of the action, . is given by . and thus it immediately follows for the variation of . that . or 作者: SEEK 時間: 2025-3-23 00:12
A kernel extension to handle missing dataWe already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2. coordinates (., .) to 2. constant values (., .), e.g., to the 2. initial values (., .) at time . = 0. Then the problem would be solved, . = .(., ., .), . = .(.,., .).作者: 凌辱 時間: 2025-3-23 05:20
Max Bramer,Richard Ellis,Miltos PetridisWe shall first use an example to explain the concept of adiabatic invariance. Let us consider a “super ball” of mass ., which bounces back and forth between two walls (distance .) with velocity .. Let gravitation be neglected, and the collisions with the walls be elastic. If . denotes the average force onto each wall, then we have 作者: Neuralgia 時間: 2025-3-23 06:54 作者: Picks-Disease 時間: 2025-3-23 10:53
Max Bramer,Miltos Petridis,Adrian HopgoodHere we are dealing with an especially fast converging perturbation series, which is of particular importance for the proof of the KAM theorem (cf. below).作者: freight 時間: 2025-3-23 15:19 作者: Outwit 時間: 2025-3-23 18:58
Dalila Boughaci,Louiza Slaouti,Kahina AchourWe now want to compute the kernel .(., .) for a few simple Lagrangians. We have already found for the one-dimensional case that . with 作者: debouch 時間: 2025-3-24 01:02
https://doi.org/10.1007/978-1-4471-2318-7Until now we have always used a trick to calculate the path integral in 作者: 遺留之物 時間: 2025-3-24 03:59
Veronica E. Arriola-Rios,Jeremy WyattHere is another important example of a path integral calculation, namely the time-dependent oscillator whose Lagrangian is given by 作者: 眼界 時間: 2025-3-24 09:08 作者: CRUMB 時間: 2025-3-24 14:03
Application of the Action Principles,We begin this chapter by deriving a few laws of nonconservation in mechanics. To this end we first consider the change of the action under rigid space translation δ. = δε. and δ.(.) = 0. Then the noninvariant part of the action, . is given by . and thus it immediately follows for the variation of . that . or 作者: 易達到 時間: 2025-3-24 16:05
The Hamilton-Jacobi Equation,We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2. coordinates (., .) to 2. constant values (., .), e.g., to the 2. initial values (., .) at time . = 0. Then the problem would be solved, . = .(., ., .), . = .(.,., .).作者: squander 時間: 2025-3-24 20:37
The Adiabatic Invariance of the Action Variables,We shall first use an example to explain the concept of adiabatic invariance. Let us consider a “super ball” of mass ., which bounces back and forth between two walls (distance .) with velocity .. Let gravitation be neglected, and the collisions with the walls be elastic. If . denotes the average force onto each wall, then we have 作者: Presbycusis 時間: 2025-3-25 01:30 作者: Heart-Rate 時間: 2025-3-25 03:30
Superconvergent Perturbation Theory, KAM Theorem (Introduction),Here we are dealing with an especially fast converging perturbation series, which is of particular importance for the proof of the KAM theorem (cf. below).作者: 一加就噴出 時間: 2025-3-25 11:12 作者: Supplement 時間: 2025-3-25 13:25 作者: choleretic 時間: 2025-3-25 19:32
Direct Evaluation of Path Integrals,Until now we have always used a trick to calculate the path integral in 作者: BOGUS 時間: 2025-3-26 00:01 作者: 記成螞蟻 時間: 2025-3-26 02:43 作者: Interdict 時間: 2025-3-26 05:57 作者: Anonymous 時間: 2025-3-26 12:23 作者: Ige326 時間: 2025-3-26 14:42 作者: 津貼 時間: 2025-3-26 19:26
PIPSS*: A System based on Temporal Estimates conservative, ?./?. = 0, and periodic in both the unperturbed and perturbed case. In addition to periodicity, we shall require the Hamilton-Jacobi equation to be separable for the unperturbed situation. The unperturbed problem .(.) which is described by the action-angle variables . and . will be as作者: Lipoprotein 時間: 2025-3-26 23:52 作者: Lineage 時間: 2025-3-27 01:25 作者: 進入 時間: 2025-3-27 07:17 作者: Inculcate 時間: 2025-3-27 10:01
Dalila Boughaci,Louiza Slaouti,Kahina Achourator .(θ., .) converges (according to Newton’s procedure) and thus the invariant tori are not destroyed. The KAM theorem is valid for systems with two and more degrees of freedom. However, in the following, we shall deal exclusively with the case of two degrees of freedom.作者: 手工藝品 時間: 2025-3-27 17:29
Thomas R. Roth-Berghofer,Daniel Bahls.. , ., are points in .-dimensional configuration space. Thus .(.) describes the motion of the system, and . determines its velocity along the path in configuration space. The endpoints of the trajectory are given by .(.) = ., and .(.) = ..作者: 駭人 時間: 2025-3-27 21:24 作者: Infusion 時間: 2025-3-27 22:16 作者: 使虛弱 時間: 2025-3-28 05:10 作者: CHAFE 時間: 2025-3-28 07:25 作者: convert 時間: 2025-3-28 14:22
Springer-Verlag Berlin Heidelberg 1992作者: chemical-peel 時間: 2025-3-28 18:20 作者: 抗生素 時間: 2025-3-28 19:40
Coping with Noisy Search Experiencesl systems with the same number of degrees of freedom, e.g., for the two-dimensional oscillator and the two-dimensional Kepler problem. Strictly speaking, for fixed ., the topology of the phase space can still be different, e.g., ?., ?. x (.)., . + . = 2. etc.作者: 周興旺 時間: 2025-3-29 01:55 作者: 觀點 時間: 2025-3-29 03:19
Extending SATPLAN to Multiple Agentsnsforms points of the P.S.S. into other (or the same) points of the P.S.S. In the following we shall limit ourselves to autonomous Hamiltonian systems, ?./?. = 0, so that because of the canonicity (Liouville’s theorem) the mapping is area-preserving (canonical mapping).作者: 欲望 時間: 2025-3-29 08:57 作者: 喚起 時間: 2025-3-29 15:16
Canonical Adiabatic Theory,sociated to . is denoted by .. In order to then calculate the effect of the perturbation ε., we look for a canonical transformation . which makes the new Hamiltonian . independent of the new fast variable ..作者: 使熄滅 時間: 2025-3-29 19:27 作者: Observe 時間: 2025-3-29 20:17
Textbook 19921st editionith itsdetailed treatment of the time-dependent oscillator,classical andquantum Chern-Simons mechanics, the Maslovanomaly and the Berry phase, willacquaint the reader withmodern topological methods that have not as yetfound theirway into the textbook literature.作者: DENT 時間: 2025-3-30 02:07 作者: 消音器 時間: 2025-3-30 05:02
contemplating suchsystems. This book treats classical and quantummechanicsusing an approach as introduced by nonlinearHamiltoniandynamics and path integral methods. It is written forgraduate students who want to become familiar with the moreadvancedcomputational strategies in classical and quantumdy作者: 蛤肉 時間: 2025-3-30 08:15 作者: 放肆的你 時間: 2025-3-30 15:55 作者: obstruct 時間: 2025-3-30 20:34
Action-Angle Variables,necessarily . = α.. But the . are, like the α., constants. On the other hand, . develops linear with time: . with constants . = .(.) and β.. The transformation equations which are associated with the above canonical transformation generated by .(., .) are given by 作者: Isthmus 時間: 2025-3-30 20:58 作者: 其他 時間: 2025-3-31 02:50
The Action Principles in Mechanics,.. , ., are points in .-dimensional configuration space. Thus .(.) describes the motion of the system, and . determines its velocity along the path in configuration space. The endpoints of the trajectory are given by .(.) = ., and .(.) = ..作者: Excitotoxin 時間: 2025-3-31 08:20
Jacobi Fields, Conjugate Points,particular, we want to investigate the conditions under which a path is a minimum of the action and those under which it is merely an extremum. For illustrative purposes we consider a particle in two-dimensional real space. If we parametrize the path between points . and . by ?, then Jacobi’s princi作者: delegate 時間: 2025-3-31 09:57 作者: 關(guān)節(jié)炎 時間: 2025-3-31 14:56
Action-Angle Variables, .) is the generator of a canonical transformation to new constant momenta . (all . are ignorable), and the new Hamiltonian depends only on the .: . = . = .(.). Besides, the following canonical equations are valid: . The . are . independent functions of the . integration constants α., i.e., are not 作者: 走路左晃右晃 時間: 2025-3-31 20:30 作者: 緯線 時間: 2025-4-1 01:36 作者: miscreant 時間: 2025-4-1 04:53 作者: Ferritin 時間: 2025-4-1 07:43
,Poincaré Surface of Sections, Mappings,o-dimensional surface. If we then consider the trajectory in phase space, we are interested primarily in its piercing points through this surface. This piercing can occur repeatedly in the same direction. If the motion of the trajectory is determined by the Hamiltonian equations, then the . + 1-th p作者: 無政府主義者 時間: 2025-4-1 11:54
The KAM Theorem,ator .(θ., .) converges (according to Newton’s procedure) and thus the invariant tori are not destroyed. The KAM theorem is valid for systems with two and more degrees of freedom. However, in the following, we shall deal exclusively with the case of two degrees of freedom.
