標(biāo)題: Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20013rd edition Springer-Verlag Berlin Heidelbe [打印本頁] 作者: Corticosteroids 時間: 2025-3-21 17:20
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網(wǎng)絡(luò)公開度
書目名稱Classical and Quantum Dynamics網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Classical and Quantum Dynamics被引頻次
書目名稱Classical and Quantum Dynamics被引頻次學(xué)科排名
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書目名稱Classical and Quantum Dynamics讀者反饋
書目名稱Classical and Quantum Dynamics讀者反饋學(xué)科排名
作者: 爭論 時間: 2025-3-21 23:05
https://doi.org/10.1007/978-3-0348-6686-6uation to be separable for the unperturbed situation. The unperturbed problem ..(..) which is described by the action-angle variables .. and .. will be assumed to be solved. Thus we have, for the unperturbed frequency: . and 作者: bioavailability 時間: 2025-3-22 02:48 作者: NOVA 時間: 2025-3-22 05:41
https://doi.org/10.1007/978-3-642-85278-7forms 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: Derogate 時間: 2025-3-22 10:23
,Poincaré Surface of Sections, Mappings,forms 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: adulterant 時間: 2025-3-22 15:42 作者: adulterant 時間: 2025-3-22 19:28 作者: 閑蕩 時間: 2025-3-23 01:00 作者: 巨頭 時間: 2025-3-23 05:15
Functional Derivative Approach, Heisenberg’s equation of motion into a theory formulated solely in terms of .-numbers. This can be achieved either by Schwinger’s action principle or with the aid of a generation functional defined as follows: 作者: concert 時間: 2025-3-23 08:33
1439-2674 xamples throughout the text..This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.978-3-642-56430-7Series ISSN 1439-2674 作者: 休戰(zhàn) 時間: 2025-3-23 11:22 作者: 逢迎春日 時間: 2025-3-23 16:36
Vladimir Estivill-Castrol,Alan T. Murray, ..) 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: 作者: 使高興 時間: 2025-3-23 19:53
https://doi.org/10.1007/978-3-0348-6686-6 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 b作者: 狗舍 時間: 2025-3-23 23:17 作者: Adjourn 時間: 2025-3-24 03:18
https://doi.org/10.1007/978-3-642-85278-7dimensional 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 pie作者: 時代 時間: 2025-3-24 06:47 作者: LIKEN 時間: 2025-3-24 14:01
Outlook in the Field of Deck Bridges,tablish the formal connection between operator and path integral formalism. Our objective is to introduce the generating functional into quantum mechanics. Naturally we want to generate transistion amplitudes. The problem confronting us is how to transcribe operator quantum mechanics as expressed in作者: 生來 時間: 2025-3-24 16:50
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: 擁護(hù)者 時間: 2025-3-24 19:21 作者: 不整齊 時間: 2025-3-24 23:18
Removal of Resonances,rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.作者: PHAG 時間: 2025-3-25 06:59 作者: 發(fā)現(xiàn) 時間: 2025-3-25 11:15 作者: 陰郁 時間: 2025-3-25 13:22 作者: forthy 時間: 2025-3-25 18:14 作者: 怒目而視 時間: 2025-3-25 20:03
Blessing Mbipom,Susan Craw,Stewart MassieWe begin this chapter with the definition of the action functional as time integral over the Lagrangian ..., ... of a dynamical system: 作者: chastise 時間: 2025-3-26 00:58
Yichao Lu,Ruihai Dong,Barry SmythThe main purpose of this chapter is to consider the formulation of a relativistic point particle in classical electrodynamics from the viewpoint of Lagrangian mechanics. Here, the utility of Schwinger’s action principle is illustrated by employing three different kinds of action to derive the equations of motion and the associated surface terms.作者: clarify 時間: 2025-3-26 05:06
D. J. H. Burden,M. Savin-Baden,R. BhaktaWe 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: cognizant 時間: 2025-3-26 12:07 作者: 破裂 時間: 2025-3-26 15:21
Hossein Ghodrati Noushahr,Samad AhmadiWe 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 (q., p.) at time . = 0. Then the problem would be solved, . = .(.., .., .), . = .(.., .., .).作者: 我不明白 時間: 2025-3-26 19:58
Animal Welfare Lessons from Work on Poultry,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: 壁畫 時間: 2025-3-27 00:32
Behavioural Physiology of Farm Mammals,We extend the perturbation theory of the previous chapter by going one order further and permitting several degrees of freedom. So let the unperturbed problem ..(..) be solved. Then we expand the perturbed Hamiltonian in the (.., ..)-“basis” according to 作者: FACT 時間: 2025-3-27 03:18
https://doi.org/10.1007/978-3-642-85278-7In the present chapter we are concerned with systems, the change of which — with the exception of a single degree of freedom — should proceed slowly. (Compare the pertinent remarks about ε as slow parameter in Chap. 7.) Accordingly, the Hamiltonian reads: 作者: reserve 時間: 2025-3-27 07:51 作者: patella 時間: 2025-3-27 12:47 作者: 寡頭政治 時間: 2025-3-27 17:24
https://doi.org/10.1007/978-94-009-1145-1We now want to compute the kernel .) for a few simple Lagrangians. We have already found for the one-dimensional case that . with 作者: Circumscribe 時間: 2025-3-27 19:25
Introduction,The subject of this monograph is classical and quantum dynamics. We are fully aware that this combination is somewhat unusual, for history has taught us convincingly that these two subjects are founded on totally different concepts; a smooth transition between them has so far never been made and probably never will.作者: Coronary 時間: 2025-3-28 01:28
The Action Principles in Mechanics,We begin this chapter with the definition of the action functional as time integral over the Lagrangian ..., ... of a dynamical system: 作者: Allergic 時間: 2025-3-28 04:29 作者: Anticoagulants 時間: 2025-3-28 09:33 作者: Simulate 時間: 2025-3-28 13:09
Canonical Transformations,Let .., ..,..., .., .....,..... be 2. independent canonical variables, which satisfy Hamilton’s equations: 作者: 富饒 時間: 2025-3-28 17:10 作者: invert 時間: 2025-3-28 22:29
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: Lumbar-Spine 時間: 2025-3-29 02:50 作者: 苦惱 時間: 2025-3-29 03:23 作者: 拱形面包 時間: 2025-3-29 09:02
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: indecipherable 時間: 2025-3-29 12:11 作者: 鞭打 時間: 2025-3-29 17:32
Examples for Calculating Path Integrals,We now want to compute the kernel .) for a few simple Lagrangians. We have already found for the one-dimensional case that . with 作者: EWE 時間: 2025-3-29 22:43 作者: 厚臉皮 時間: 2025-3-30 00:45
Yichao Lu,Ruihai Dong,Barry Smythparticular, 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: 和平主義者 時間: 2025-3-30 06:49 作者: 無表情 時間: 2025-3-30 10:47
https://doi.org/10.1007/978-3-642-85278-7rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.作者: UTTER 時間: 2025-3-30 14:19 作者: 欺騙手段 時間: 2025-3-30 20:10 作者: MAOIS 時間: 2025-3-30 22:26 作者: 規(guī)范就好 時間: 2025-3-31 01:09
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: 細(xì)查 時間: 2025-3-31 08:55
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: 作者: 青少年 時間: 2025-3-31 09:40
Time-Independent Canonical Perturbation Theory, 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 b作者: 漫不經(jīng)心 時間: 2025-3-31 17:03
Removal of Resonances,rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.作者: 亞麻制品 時間: 2025-3-31 21:27 作者: 種族被根除 時間: 2025-4-1 01:44
The KAM Theorem,rator .(.,., ..) 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.
