Quantum Physics has a New, and Remarkable, Expansion
- URL: http://arxiv.org/abs/2212.12434v2
- Date: Mon, 26 Dec 2022 10:26:56 GMT
- Title: Quantum Physics has a New, and Remarkable, Expansion
- Authors: John R. Klauder
- Abstract summary: Affine quantization is an expansion of canonical quantization.
This paper introduces affine quantization; what it is, and what it can do.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 bounces backwards. This second model cannot be correctly solved
using canonical quantization. Now, there is an expansion of quantization,
called affine quantization, that can correctly solve the half-harmonic
oscillator, and offers correct solutions to a grand collection of other
problems, which even reaches to field theory and gravity.
This paper has been designed to introduce affine quantization; what it is,
and what it can do.
Related papers
- A healthier stochastic semiclassical gravity: world without Schrödinger cats [0.0]
Semiclassical gravity couples classical gravity to the quantized matter in meanfield approximation.
Meanfield coupling is problematic for two reasons. First, it ignores the quantum fluctuation of matter distribution.
Second, it violates the linearity of the quantum dynamics.
arXiv Detail & Related papers (2025-01-30T17:03:38Z) - Super Quantum Mechanics [37.69303106863453]
We introduce Super Quantum Mechanics (SQM) as a theory that considers states in Hilbert space subject to multiple quadratic constraints.
In this case, the stationary SQM problem is a quantum inverse problem with multiple applications in machine learning and artificial intelligence.
arXiv Detail & Related papers (2025-01-25T19:41:04Z) - Simulating electronic structure on bosonic quantum computers [34.84696943963362]
We propose an approach to map the electronic Hamiltonian into a qumode bosonic problem that can be solved on bosonic quantum devices.
This work establishes a new pathway for simulating many-fermion systems, highlighting the potential of hybrid qubit-qumode quantum devices.
arXiv Detail & Related papers (2024-04-16T02:04:11Z) - Linearly coupled quantum harmonic oscillators and their quantum
entanglement [0.0]
It is shown that quantum entanglement depends on only one coefficient $R in (0,1), which includes all the parameters of the system under consideration.
It has been shown that quantum entanglement can be very large at certain values of this coefficient.
arXiv Detail & Related papers (2024-02-01T17:42:17Z) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Canonically consistent quantum master equation [68.8204255655161]
We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit.
Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
arXiv Detail & Related papers (2022-05-25T15:22:52Z) - Affine Quantization of the Harmonic Oscillator on the Semi-bounded
domain $(-b,\infty)$ for $b: 0 \rightarrow \infty$ [0.0]
We study the transformation of a classical system into its quantum counterpart using it affine quantization (AQ) Fantoni and Klauder (arXiv:2109.13447,Phys. Rev. D bf 103, 076013 (2021)
We numerically solve this problem for $b rightarrow infty$, confirming the results of Gouba ( arXiv:2005.08696,J. High Energy Phys., Gravitation Cosmol.
arXiv Detail & Related papers (2021-11-20T22:52:45Z) - Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware.
We present an algorithm that compresses the Trotter steps into a single block of quantum gates.
This results in a fixed depth time evolution for certain classes of Hamiltonians.
arXiv Detail & Related papers (2021-08-06T19:38:01Z) - Let Loop Quantum Gravity and Affine Quantum Gravity Examine Each Other [0.0]
Loop Quantum Gravity is widely developed using canonical quantization in an effort to find the correct quantization for gravity.
We open discussion using canonical and affine quantizations for two simple problems so each procedure can be understood.
arXiv Detail & Related papers (2021-05-23T00:44:28Z) - Affine Quantization on the Half Line [0.0]
Dirac's canonical quantization works reasonably well in the case of conventional quantum mechanics over $mathbbRn$.
Affine quantization is an alternative method, similar to the canonical quantization, that may offer a positive result in situations for which canonical quantization fails.
arXiv Detail & Related papers (2020-05-18T13:20:36Z) - Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices.
We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom.
We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
arXiv Detail & Related papers (2020-02-21T16:00:36Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.