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1.
Quaternionic quantum mechanics is investigated in the light of the great success of complex quantum mechanics. It is shown that to reproduce the results of complex quantum mechanics, quaternionic quantum mechanics must contain complex quantum mechanics. 相似文献
2.
References: 《理论物理通讯》2007,48(8):243-244
By comparison between equations of motion of geometrical optics and that of classical statistical mechanics, this paper finds that there should be an analogy between geometrical optics and classical statistical mechanics instead of geometrical mechanics and classical mechanics. Furthermore, by comparison between the classical limit of quantum mechanics and classical statistical mechanics, it finds that classical limit of quantum mechanics is classical statistical mechanics not classical mechanics, hence it demonstrates that quantum mechanics is a natural generalization of classical statistical mechanics instead of classical mechanics. Thence quantum mechanics in its true appearance is a wave statistical mechanics instead of a wave mechanics. 相似文献
3.
QIAN Shang-Wu XU Lai-Zi 《理论物理通讯》2007,48(2):243-244
By comparison between equations of motion of geometrical optics and that of classical statistical mechanics, this paper finds that there should be an analogy between geometrical optics and classical statistical mechanics instead of geometrical mechanics and classical mechanics. Furthermore, by comparison between the classical limit of quantum mechanics and classical statistical mechanics, it finds that classical limit of quantum mechanics is classical statistical mechanics not classical mechanics, hence it demonstrates that quantum mechanics is a natural generalization of classical statistical mechanics instead of classical mechanics. Thence quantum mechanics in its true appearance is a wave statistical mechanics instead of a wave mechanics. 相似文献
4.
Nicholas Maxwell 《Foundations of Physics》1976,6(3):275-292
This paper investigates the possibility of developing a fully micro realistic version of elementary quantum mechanics. I argue that it is highly desirable to develop such a version of quantum mechanics, and that the failure of all current versions and interpretations of quantum mechanics to constitute micro realistic theories is at the root of many of the interpretative problems associated with quantum mechanics, in particular the problem of measurement. I put forward a propensity micro realistic version of quantum mechanics, and suggest how it might be possible to discriminate, on experimental grounds, between this theory and other versions of quantum mechanics. 相似文献
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6.
Oliver Rudolph 《International Journal of Theoretical Physics》1996,35(8):1581-1636
In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically
review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and give some
general comments about it. We investigate to what extent the consistent histories scheme is compatible with the results of
the operational formulation of quantum mechanics. According to the operational approach, nonrelativistic quantum mechanics
is most generally formulated in terms of effects, states, and operations. We formulate a generalized consistent histories
theory using the concepts and the terminology which have proven useful in the operational formulation of quantum mechanics.
The logical rule of the logical interpretation of quantum mechanics is generalized to the present context. The algebraic structure
of the generalized theory is studied in detail. 相似文献
7.
In contrast to the Copenhagen interpretation we consider quantum mechanics as universally valid and query whether classical
physics is really intuitive and plausible. We discuss these problems within the quantum logic approach to quantum mechanics
where the classical ontology is relaxed by reducing metaphysical hypotheses. On the basis of this weak ontology a formal logic
of quantum physics can be established which is given by an orthomodular lattice. By means of the Solèr condition and Piron's
result one obtains the classical Hilbert spaces. However, this approach is not fully convincing. There is no plausible justification
of Solèr's law and the quantum ontology is partly too weak and partly too strong. We propose to replace this ontology by an
ontology of unsharp properties and conclude that quantum mechanics is more intuitive than classical mechanics and that classical
mechanics is not the macroscopic limit of quantum mechanics. 相似文献
8.
F. Jenč 《Foundations of Physics》1979,9(11-12):897-928
We illustrate the application of the conceptual analysis (CA) method outlined in Part I by the example of quantum mechanics. In the present part the Hilbert space structure of conventional quantum mechanics is deduced as a consequence of postulates specifying further idealized concepts. A critical discussion of the idealizations of quantum mechanics is proposed. Quantum mechanics is characterized as a “statistically complete” theory and a simple and elegant formal recipe for the construction of the fundamental mathematical apparatus of quantum mechanics is formulated. Our analysis may also lead to a criticism of quantum mechanics as a “strongly idealized” theory. A critical analysis of the fundamental structure of quantum mechanics seems an indispensable and natural starting point for the construction of new theories. A major technical problem in a more general application of the CA method is the lack of mathematical representation theorems for more general algebraic structures. 相似文献
9.
一维无限深方势阱中粒子动量概率分布引出的问题 总被引:2,自引:1,他引:1
本文强调泡利关于一维无限深方势阱中粒子动量的结论与标准量子力学的逻辑推论不一致,而标准量子力学是自洽的。指出,当我们在一个量子态上掺入某种直观的经典力学内容时要很谨慎。至于对量子力学本身,至今尚无一种公认的诠释。 相似文献
10.
Arye Friedman 《International Journal of Theoretical Physics》1994,33(2):307-338
An extension of the quantum logical approach to the axiomatization of quantum mechanics usingnonstandard analysis methods is proposed. The physical meaning of a quantum logic as a lattice of propositions is conserved by its nonstandard extension. But not only the usual Hubert space formalism of quantum mechanics can be derived from the nonstandard extended quantum logic. Also the Dirac bra-ket quantum mechanics can be derived as a consequence of such an extended quantum logic. 相似文献
11.
K. B. Wharton 《Foundations of Physics》2007,37(1):159-168
A time-symmetric formulation of nonrelativistic quantum mechanics is developed by applying two consecutive boundary conditions
onto solutions of a time- symmetrized wave equation. From known probabilities in ordinary quantum mechanics, a time-symmetric
parameter P0 is then derived that properly weights the likelihood of any complete sequence of measurement outcomes on a quantum system.
The results appear to match standard quantum mechanics, but do so without requiring a time-asymmetric collapse of the wavefunction
upon measurement, thereby realigning quantum mechanics with an important fundamental symmetry. 相似文献
12.
Ichiro Ohba 《Pramana》2002,59(2):397-404
From the advent of quantum mechanics, various types of stochastic-dynamical approach to quantum mechanics have been tried. We discuss how to utilize Nelson’s stochastic quantum mechanics to analyze the tunneling phenomena, how to derive relativistic field equations via the Poisson process and how to describe a quantum dynamics of open systems by the use of quantum state diffusion, or the stochastic Schrödinger equation. 相似文献
13.
Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics and indicate how Bohmian mechanics solves these problems and clarifies the status and the role of the quantum formalism. 相似文献
14.
《Physics letters. A》1986,114(2):63-64
A recently introduced variational principle for quantum mechanics is compared with some aspects of stochastic mechanics and of the orthodox approach to quantum mechanics. 相似文献
15.
主要从量子力学发展史,量子力学概念,多媒体技术运用,以及针对工科专业的实际应用4个方面,对工科专业的量子力学教学方法进行了探索,激发学生学习量子力学的兴趣,提高教学质量. 相似文献
16.
Allen C. HirshfeldPeter Henselder 《Annals of Physics》2002,302(1):59-77
Deformation quantization, which achieves the passage from classical mechanics to quantum mechanics by the replacement of the pointwise multiplication of functions on phase space by the star product, is a powerful tool for treating systems involving bosonic degrees of freedom, both in quantum mechanics and in quantum field theory. In the present paper we show how these methods may be naturally extended to systems involving fermions. In particular we show how supersymmetric quantum mechanics can be formulated in this approach and consider examples involving both non-relativistic and relativistic systems. 相似文献
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18.
It has been recently pointed out by Caves, Fuchs, and Rungta [1] that real quantum mechanics (that is, quantum mechanics defined over real vector spaces [2–5]) provides an interesting foil theory whose study may shed some light on just which particular aspects of quantum entanglement are unique to standard quantum theory and which are more generic over other physical theories endowed with this phenomenon. Following this work, some entanglement properties of two-rebit systems are discussed and a comparison with the basic properties of two-qubit systems, i.e., the systems described by standard complex quantum mechanics, is made. The use of quaternionic quantum mechanics as applied to the phenomenon of entanglement is also discussed. 相似文献
19.
A. E. F. Djemai 《International Journal of Theoretical Physics》1996,35(10):2029-2056
In previous papers we have described quantum mechanics as a matrix symplectic geometry and showed the existence of a braiding
and Hopf algebra structure behind our lattice quantum phase space. The first aim of this work is to give the defining commutation
relations of the quantum Weyl-Schwinger-Heisenberg group associated with our ℜ-matrix solution. The second aim is to describe
the knot formalism at work behind the matrix quantum mechanics. In this context, the quantum mechanics of a particle-antiparticle
system (pˉp) moving in the quantum phase space is viewed as a quantum double. 相似文献
20.
结合20世纪量子力学发展的特殊历史背景,从早期的量子论到现行量子力学理论体系的形成和完善过程出发,讨论了爱因斯坦在量子力学方面的重要工作,指出他在量子理论发展的不同时期都发挥了重要作用,对量子力学理论的研究产生了重要而又深远的影响,极大地促进了量子力学的发展. 相似文献