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2-dimensional “particle-in-a-box” problems
2-dimensional “particle-in-a-box” problems

... an expressed need of my colleague Oz Bonfim, who speculates that some of my results may be relevent to his own work in connection with the so-called “Bohm interpretation of quantum mechanics.”3 I have also an ulterior motivation, ...
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... moment, say, the spin of electron has been measured several times by experimenters before. Instead of knowing the measurement outcomes of the experimenters, what we only know is the probability of the state of particles. We can use density matrix, which its trace must be 1 and semi-positive definite ...
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... tool for creating artificial toy realities. For a mathematician, a mathematical model has its own reality in the world of mathematics. The present author already published (on arXiv) a mathematical analysis, Gill (2012), of one of Christian’s shortest papers: the so-called “one page paper”, Christi ...
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... our normal everyday view of the way the world behaves, which immediately poses the problem of determining, and clearly stating, what these fundamental laws are. But there is in fact a second problem that has to be dealt with here. In order to state these basic laws, the question arises as to whether ...
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The UNBELIEVABLE similarities between Sean Carroll`s idea (2016

... 440) But the taxonomies of the special sciences cannot be reduced to physical science. According to this view, we have to reject the unification of science and to return to the “layered picture of reality” and a kind of supervenience in which each layer has specific entities and laws. Under this fra ...
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... Indeed, if we could copy |ψi, then we could violate the uncertainty principle by measuring one observable (such as position) on some copies, and a complementary observable (such as momentum) on other copies. Conversely, if we could measure all the properties of |ψi to unlimited accuracy, then we cou ...
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... which is easier to define (Atiyah 1990). The isomorphism classes of complex vector bundles E on X form an abelian semigroup under fibrewise direct sum. The abelian group of formal differences E − E  of bundles is K 0 (X). Integral cohomology and K-theory resemble each other closely; in fact, they beco ...
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Hidden variable theory

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