We use cookies to improve your experience on our site. By using our site you consent cookies. Privacy Policy.

Categories

Addiction & Detox
Apollo 11 Lunar Mission
Bacteria
Chakra Balance
Chronic Fatigue
Common Cold
Diseases
Electromagnetic Energy
Epstein-Barr Virus
Fungi
Galen Hieronymus
Hepatitis Virus
Herpes Virus
HIV Virus
Hormonal Imbalance
Influenza Virus
Introductory Articles
Lyme Disease
Malaria
Media
Minerals
Miracles
Neurotransmitters
Nutrition
OM Prakash Network HIV Testimonials
Pathogen Cleanse
PCR Test Results
Pet Health
Photographic Force Field
Programs
Scalar Light Scientists
Shared
Shingles Virus
Superbugs
Testimonials and Case Studies
Uncategorized
Video Testimonials
Viruses
Weight Loss
podcast
pathogenic cleanse
tom paladino
pathogen cleanse
bacteria
pcr test results
scalar light sessions
standard scalar sessions
hiv virus
om prakash
herpes
india
delhi
pathogens
fungi
hieronymus
humanitarian
lyme disease
photograph
standard scalar program
viruses
chakras
divine
divine light
hepatitis
testimonials
autoimmune
chronic fatigue
chronic fatigue syndrome
dental health
epsteinbarr
fungus
psoriasis
addiction
cancer
chakra balance
common cold
diabetes
epsteinbarr virus
gingivitis
natural foods
ngos
nutrient program
phoenix voyage
scalar energy
shingles
testimonial
alzheimers
alzheimers disease
chakra balancing
depression
energetic signature
female hormone program
hormone therapy
hormones
msra
multiple sclerosis
neurological conditions
nikola tesla
parasites
protozoan
scalar light technology
scalar technology
shingles virus
amino acid and protein therapy
amino acids
amoebiasis
angels
antimicrobial resistance
apollo 11
ark of the covenant
atherosclerotic plaque
autism
bonds
borrelia burgdorferi
candida
candida auris
cardiovascular
cataracts
catholic
cellulitis
chemical detox
conventional medicine
crohns disease
dementia
dental caries
detox
earthquakes
electromagnetic energy
entamoeba histolytica
enzymes
epilepsy
essential amino acids
estradiol
fat metabolism
fibromyalgia
fungal infection
gall stones
gastrointestinal
gum disease
high blood pressure
high blood sugar
hormonal imbalance
imelda lambertini
incorruptibility
influenza
irritable bowel
jesus
kidney stones
kozyrev
leaky gut
leukemia
light
limbic kindling
liquefaction
lymphocytic leukemia
lymphotropic virus
malaria
mary of agreda
mold
morgellons
nail fungus
nanobacteria
natural healing
non gmo
nonessential amino acids
nutrients
nutrition
obesity
oral hygiene
pablo maria
papillomavirus
parkinsons
parkinsons disease
patent
periodontitis
photosynthesis
pneumonia
prions
probiotic bacteria
prophecies
proteins
radiant energy
respiratory syncytial virus
rheumatoid arthritis
sarah hieronymus
scalar light instruments
schedule
scientists
scleroderma
sclerosis
spiral
spiritual
spirochetal disease
st john vianney
streptococcus
tanzania
tetanus
thomas henry moray
thyroid
ticks
tuberculosis
urinary tract infection
video
virus

What Is Quantization?

Blog > Uncategorized

The notion of quantization refers to the process that is carried out to develop the construction of a quantum model, starting from a description of classical physics. In this way, it is considered a classical theory and transformed into quantum theory. Therefore, to understand what quantization is, you must first know how to differentiate between classical physics and quantum physics.

Classical physics:

 

  1. The states are all the values of the observables that we can measure. Positions, moments, energies, and any other physical magnitude.
  2. One does not de facto distinguish between observables and states. One can measure all observables without disturbing the state. That is if the system is at position x = 3 at the time of measurement, the state does not change. And we can simultaneously measure any observable.
Quantum physics:

 

  1. The states are all the values of the observables that we can measure. Positions, moments, energies, and any other physical magnitude.
  2. One does not de facto distinguish between observables and states. One can measure all observables without disturbing the state. That is if the system is at position x = 3 at the time of measurement, the state does not change. And we can simultaneously measure any observable.

Quantization Process

Geometric quantization
You have a classical theory with its states and its observables. The states are represented by the values of the functions position, moment, energies, angular momentum, etc.

Quantize is to find a procedure to find the states and the corresponding observables from classical theory. That is, we have to find the appropriate representation of the observables as operators.

We have to comment that the quantization process is not unique. There are several mathematically well-defined ways to find a quantum theory starting from a known classical one. Unfortunately, there is no rule to apply one quantization method or another, although there are cases where clearly some are easier to carry out than others. It depends a bit on the intuition of the physicist to apply one scheme or another. Obviously, if a physicist can quantize a classical theory in various ways, the resulting theories must be consistent and equivalent.

Different Types

Canonical, algebraic, geometric, Weyl, and covariant are some of the quantization procedures that can be performed. We must bear in mind that the theories that result from the quantization of the same classical theory have to be equivalent and consistent, regardless of the method used.

 

  • Canonical: In this branch of physics, canonical quantization is a process by which a theory based on the rules of classical physics can be quantized while preserving, as far as possible, the essential structure taking into account the symmetry of the classical theory.
  • Geometric: Geometric quantization is a mathematical procedure to build a quantum theory corresponding to a specific classical theory from the symplectic formalism. Geometric quantization is a procedure for which there is no general algorithm or exact recipe. The idea of geometric quantization is to make certain analogies manifest between classical theory and quantum theory. 
  • Weyl: In the branch of physics that comprises quantum mechanics, taking into account Schrödinger’s image, there is the inverse and reversible process of transformation or mapping from functions formulated in quantum space and Hilbert space operators to phase space in classical physics, this is the Wigner-Weyl transform or the Weyl-Wigner transform. Very often, the mapping or transformation of systems from phase space to operators is called Weyl quantization. On the other hand, the reverse transformation process, from operators to functions in phase space, is known as Wigner transformation or mapping. It is also important to note the two processes are opposite. This transformation or mapping was first developed by Hermann Weyl in 1927. At that time, the scientist was attempting to map symmetric phase space functions to operators, which ultimately produced what we now call Weyl quantization. It is now known that Weyl quantization does not fulfill all the expected and necessary properties needed for quantization, so it is common that it often produces unphysical results. On the other hand, because Weyl quantization has many interesting and positive qualities that scientists find appealing, when one is researching and searching for the best, simple and consistent quantization method, Weyl quantization performs the process with excellent results.
  • Covariant: There are basically two methods: the oldest (which is the one we will follow here), in which the description is given through the coordinates of the Xµ chord and the Virasoro constrictions impose restrictions on the Fock space; The second and more modern form of quantization has geometric bases, in which Faddeev-Popov ghosts are introduced, and the BRST symmetries and the currents of these symmetries are identified. One can distinguish between first and second quantization procedures. In the first case, models of a particle are built, while in the second, systems of multiple equal particles are analyzed.
Try Our Standard Scalar Sessions Free