Book Review: Classical Quantum Theory

1998 ◽  
Vol 11 (3) ◽  
pp. 477-478
Author(s):  
Peter Marquardt
1986 ◽  
Vol 456 (2) ◽  
pp. 279-297 ◽  
Author(s):  
Onishi Naoki

2017 ◽  
Vol 9 (4) ◽  
pp. 7
Author(s):  
Koshun Suto

It is thought that quantum mechanics is the physical science describing the behavior of the electron in the micro world, e.g., inside a hydrogen atom. However, the author has previously derived the energy-momentum relationship which holds inside a hydrogen atom. This paper uses that relationship to investigate the relationships between physical quantities which hold in a hydrogen atom. In this paper, formulas are derived which hold in the micro world and make more accurate predictions than the classical quantum theory. This paper concludes that quantum mechanics is not the only theory enabling investigation of the micro world.


1997 ◽  
Vol 40 (8) ◽  
pp. 879-896 ◽  
Author(s):  
Junfeng Chen ◽  
Jinsong Deng ◽  
Yi Xu ◽  
Junhan You

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 174
Author(s):  
Koen Thas

In a recent paper, Chang et al. have proposed studying “quantum F u n ”: the q ↦ 1 limit of modal quantum theories over finite fields F q , motivated by the fact that such limit theories can be naturally interpreted in classical quantum theory. In this letter, we first make a number of rectifications of statements made in that paper. For instance, we show that quantum theory over F 1 does have a natural analogon of an inner product, and so orthogonality is a well-defined notion, contrary to what was claimed in Chang et al. Starting from that formalism, we introduce time evolution operators and observables in quantum F u n , and we determine the corresponding unitary group. Next, we obtain a typical no-cloning result in the general realm of quantum F u n . Finally, we obtain a no-deletion result as well. Remarkably, we show that we can perform quantum deletion by almost unitary operators, with a probability tending to 1. Although we develop the construction in quantum F u n , it is also valid in any other quantum theory (and thus also in classical quantum theory in complex Hilbert spaces).


Sign in / Sign up

Export Citation Format

Share Document