Zobrazeno 1 - 10
of 424
pro vyhledávání: '"Klauder, John R."'
Autor:
Klauder, John R., Fantoni, Riccardo
Standard quantization using, for example, path integration of field theory models, includes paths of momentum and field reach infinity in the Hamiltonian density, while the Hamiltonian itself remains finite. That fact causes considerable difficulties
Externí odkaz:
http://arxiv.org/abs/2308.13475
Autor:
Klauder, John R., Fantoni, Riccardo
Publikováno v:
Axioms 12, 911 (2023)
Affine quantization is a relatively new procedure, and it can solve many new problems. This essay reviews this new, and novel, procedure for particle problems, as well as those of fields and gravity. New quantization tools, which are extremely close
Externí odkaz:
http://arxiv.org/abs/2303.13792
Autor:
Klauder, John R.
Canonical quantization has taught us great things. A common example is that of the harmonic oscillator, which is like swinging a ball on a string back and forth. However, the half-harmonic oscillator blocks the ball at the bottom and then it quickly
Externí odkaz:
http://arxiv.org/abs/2212.12434
Autor:
Klauder, John R.
Classical mechanics involves position and momentum variables that must be special coordinates chosen to promote to suitable quantum operators. Since classical variables may be broadly chosen, only unique variables should be chosen. We will outline ho
Externí odkaz:
http://arxiv.org/abs/2209.03180
Autor:
Klauder, John R.
The usual particle in a box is turned into a field theory, and its behavior is examined using canonical and affine quantizations. The resulting leads to a valid affine quantization of the particle in a box field theory, which points toward further va
Externí odkaz:
http://arxiv.org/abs/2209.06137
Autor:
Klauder, John R.
The usual full- and half-harmonic oscillators are turned into field theories, and that behavior is examined using canonical and affine quantization. The result leads to a valid affine quantization of the half harmonic oscillator field theory, which p
Externí odkaz:
http://arxiv.org/abs/2206.07653
Autor:
Klauder, John R.
The particle in a box is a simple model that has a classical Hamiltonian $H=p^2$ (using $2m=1$), with a limited coordinate space, $-b
Externí odkaz:
http://arxiv.org/abs/2204.07577
Autor:
Klauder, John R.
Path integration is a respected form of quantization that all theoretical quantum physicists should welcome. This elaboration begins with simple examples of three different versions of path integration. After an important clarification of how gravity
Externí odkaz:
http://arxiv.org/abs/2203.15141
Autor:
Fantoni, Riccardo, Klauder, John R.
Publikováno v:
Eur. Phys. J C 82, 843 (2022)
We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, $\varphi^r_n$, where $r$ denotes the power of the interaction term and $n = s + 1$ where $s$ is the spatial dimension and $1$ adds imaginary time, such that $r =
Externí odkaz:
http://arxiv.org/abs/2203.05988
Autor:
Klauder, John R.
Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with special problems. Vector affine quantization introduces multiple degrees of freedom which find that working together create novel tools suitab
Externí odkaz:
http://arxiv.org/abs/2110.05952