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   Heisenberg's Uncertainty Principle

Simply put, Heisenberg's Uncertainty Principle states that it is impossible to know both the exact position and the exact velocity of an object at the same time. However, the effect is tiny and so is only noticeable on a subatomic scale.

HistoryWerner Heisenberg (1901-1976) was a German physicist who helped to formulate quantum mechanics at the beginning of the 20th century. He first presented the Heisenberg Uncertainty Principle in February 1927 in a letter to Wolfgang Pauli, then published it later that year.

The PrincipleLight can be considered as being made up of packets of energy called photons. To measure the position and velocity of any particle, you would first shine a light on it, then detect the reflection. On a macroscopic scale, the effect of photons on an object is insignificant. Unfortunately, on subatomic scales, the photons that hit the subatomic particle will cause it to move significantly, so although the position has been measured accurately, the velocity of the particle will have been altered. By learning the position,UGG pas cher, you have rendered any information you previously had on the velocity useless. In other words, the observer affects the observed.

Detailed ExplanationTo observe any particle, smaller particles must first be reflected off it. To find both the position and the momentum1 of, say, an electron, at least one photon (the smallest possible quantity of light) must be utilised. The photon must bounce off the electron then reflect back to the measuring device. For larger particles, such as sand grains or buses, the percentage uncertainty in the measurements of position and momentum is insignificant. For the far smaller subatomic particles, the percentage uncertainty in these measurements is larger, and finding the location and momentum becomes more of a problem.

As momentum = mass x velocity, an electron has momentum p = mv, where 'p' is momentum,UGG online, 'm' is mass and 'v' is velocity.

'Mass' can be considered as the amount of 'stuff', or fundamental building blocks, an object is made of. 'Velocity' is the component of the particle's speed acting in a specific, defined direction.

The measurement is made with photons of light that have a wavelength2 'λ' (the Greek letter 'lambda'). Wavelength is the distance light travels in one complete wave cycle; frequency is the number of cycles per second (hertz, Hz). Visible light has a frequency of about 1014 hertz.

The equation velocity = frequency x wavelength can be used to determine the wavelength of a wave of known velocity and frequency:

Velocity of a photon in a vacuum = c ≈ 3 x 108 ms-1 ≈ 108 ms-1

Frequency of visible light ≈ 1014 Hz

λ = wavelength = (c / frequency) ≈ (108 ms-1)/(1014 Hz ) ≈ 10-6 m

This is one millionth of a metre, one thousandth of a millimetre.

As the speed of light in a vacuum is constant, to reduce the wavelength of a photon, its frequency of the light must be increased. Using Energy = hf, where h is Planck's constant and f is the photon's frequency, the greater the photon's frequency, the greater the energy it carries, as h is always constant.

The wavelength of a particle is described by the DeBroglie formula as λ = (Planck's constant)/(momentum) = h/mc. Therefore, mc = h/λ

Photons have no rest mass but, when moving, have an apparent mass due to their kinetic energy (energy of motion). Using E=mc2, their apparent mass is E/c2

When one of these photons bounces off the electron, the electron's momentum will, therefore, be changed. This is similar to the way billiard balls change their trajectories when they collide.

The change in the electron's momentum (Δmv) is uncertain and will be of the same order and magnitude as the photon's momentum: Δmv ≈ (h/λ)

Since c in f = c / λ is constant, an increase in the photon's wavelength leads to a decrease in its frequency and, therefore, a decrease in the energy it carries. Therefore, the uncertainty in its momentum is smaller.

The photon of light cannot measure the electron's position (x) with perfect accuracy,UGG Cardy. Considering the photon of light as a wave, to increase the accuracy in position measurement, a photon with a smaller wavelength must be used. However, the smaller the wavelength of light, the higher its frequency and the higher its energy. Therefore, on collision with the electron, it will change its momentum a relatively large amount, meaning the momentum is less accurately determined when the position is more accurately determined. The opposite is also true - if the momentum is more accurately determined, the position must be less accurately determined.

An estimate of the position of the particle is at least one photon wavelength from the original position.

The uncertainty in position, Δx, ≥ one photon wavelength. Therefore, Δx ≥ λ

The smaller the wavelength, the greater the accuracy in the measurement of the position, but, as the wavelength of the photon gets shorter, its frequency increases. According to the equation E = hf, the greater its frequency, the greater its energy and the greater the change in momentum when it collides with a particle. That is, the momentum of the electron has greater uncertainty when using photons with smaller wavelengths.

The opposite is also true - the longer the wavelength, the lower the energy and the lower the change in momentum; however, the uncertainty in the position of the electron will be greater.

Crucially, we cannot know both the exact position and momentum of a particle - we can only find an approximation to each. The better the approximation to one, the worse the approximation to the other becomes.

The equationsSince Δmv ≈ h /λ and Δx ≥ λ the two can be combined:

ΔxΔmv ≥ hλ/λ. Therefore, ΔxΔp ≥ h

1'Position' means the location of the particle and momentum is its mass multiplied by its velocity.2It should be noted that here photons are considered as waves, rather than particles. The wave-particle duality is described in this Entry

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ssvopnfyvnj Newbie Joined: Jan 11 2013 Location: United Kingdom Online Status: Offline Posts: 28	Topic: Heisenberg's Uncertainty Principle Posted: Jan 29 2013 at 12:36am
	Heisenberg's Uncertainty Principle Simply put, Heisenberg's Uncertainty Principle states that it is impossible to know both the exact position and the exact velocity of an object at the same time. However, the effect is tiny and so is only noticeable on a subatomic scale. HistoryWerner Heisenberg (1901-1976) was a German physicist who helped to formulate quantum mechanics at the beginning of the 20th century. He first presented the Heisenberg Uncertainty Principle in February 1927 in a letter to Wolfgang Pauli, then published it later that year. The PrincipleLight can be considered as being made up of packets of energy called photons. To measure the position and velocity of any particle, you would first shine a light on it, then detect the reflection. On a macroscopic scale, the effect of photons on an object is insignificant. Unfortunately, on subatomic scales, the photons that hit the subatomic particle will cause it to move significantly, so although the position has been measured accurately, the velocity of the particle will have been altered. By learning the position,UGG pas cher, you have rendered any information you previously had on the velocity useless. In other words, the observer affects the observed. Detailed ExplanationTo observe any particle, smaller particles must first be reflected off it. To find both the position and the momentum1 of, say, an electron, at least one photon (the smallest possible quantity of light) must be utilised. The photon must bounce off the electron then reflect back to the measuring device. For larger particles, such as sand grains or buses, the percentage uncertainty in the measurements of position and momentum is insignificant. For the far smaller subatomic particles, the percentage uncertainty in these measurements is larger, and finding the location and momentum becomes more of a problem. As momentum = mass x velocity, an electron has momentum p = mv, where 'p' is momentum,UGG online, 'm' is mass and 'v' is velocity. 'Mass' can be considered as the amount of 'stuff', or fundamental building blocks, an object is made of. 'Velocity' is the component of the particle's speed acting in a specific, defined direction. The measurement is made with photons of light that have a wavelength2 'λ' (the Greek letter 'lambda'). Wavelength is the distance light travels in one complete wave cycle; frequency is the number of cycles per second (hertz, Hz). Visible light has a frequency of about 1014 hertz. The equation velocity = frequency x wavelength can be used to determine the wavelength of a wave of known velocity and frequency: Velocity of a photon in a vacuum = c ≈ 3 x 108 ms-1 ≈ 108 ms-1 Frequency of visible light ≈ 1014 Hz λ = wavelength = (c / frequency) ≈ (108 ms-1)/(1014 Hz ) ≈ 10-6 m This is one millionth of a metre, one thousandth of a millimetre. As the speed of light in a vacuum is constant, to reduce the wavelength of a photon, its frequency of the light must be increased. Using Energy = hf, where h is Planck's constant and f is the photon's frequency, the greater the photon's frequency, the greater the energy it carries, as h is always constant. The wavelength of a particle is described by the DeBroglie formula as λ = (Planck's constant)/(momentum) = h/mc. Therefore, mc = h/λ Photons have no rest mass but, when moving, have an apparent mass due to their kinetic energy (energy of motion). Using E=mc2, their apparent mass is E/c2 When one of these photons bounces off the electron, the electron's momentum will, therefore, be changed. This is similar to the way billiard balls change their trajectories when they collide. The change in the electron's momentum (Δmv) is uncertain and will be of the same order and magnitude as the photon's momentum: Δmv ≈ (h/λ) Since c in f = c / λ is constant, an increase in the photon's wavelength leads to a decrease in its frequency and, therefore, a decrease in the energy it carries. Therefore, the uncertainty in its momentum is smaller. The photon of light cannot measure the electron's position (x) with perfect accuracy,UGG Cardy. Considering the photon of light as a wave, to increase the accuracy in position measurement, a photon with a smaller wavelength must be used. However, the smaller the wavelength of light, the higher its frequency and the higher its energy. Therefore, on collision with the electron, it will change its momentum a relatively large amount, meaning the momentum is less accurately determined when the position is more accurately determined. The opposite is also true - if the momentum is more accurately determined, the position must be less accurately determined. An estimate of the position of the particle is at least one photon wavelength from the original position. The uncertainty in position, Δx, ≥ one photon wavelength. Therefore, Δx ≥ λ The smaller the wavelength, the greater the accuracy in the measurement of the position, but, as the wavelength of the photon gets shorter, its frequency increases. According to the equation E = hf, the greater its frequency, the greater its energy and the greater the change in momentum when it collides with a particle. That is, the momentum of the electron has greater uncertainty when using photons with smaller wavelengths. The opposite is also true - the longer the wavelength, the lower the energy and the lower the change in momentum; however, the uncertainty in the position of the electron will be greater. Crucially, we cannot know both the exact position and momentum of a particle - we can only find an approximation to each. The better the approximation to one, the worse the approximation to the other becomes. The equationsSince Δmv ≈ h /λ and Δx ≥ λ the two can be combined: ΔxΔmv ≥ hλ/λ. Therefore, ΔxΔp ≥ h 1'Position' means the location of the particle and momentum is its mass multiplied by its velocity.2It should be noted that here photons are considered as waves, rather than particles. The wave-particle duality is described in this Entry

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bnyjikia21 Senior Member Joined: Feb 27 2013 Location: United Kingdom Online Status: Offline Posts: 1166	Posted: Apr 12 2013 at 12:33am
	? India has to be able to emerge as a leader in providing healthcare services, the role of the government as well as intermediaries like healthcare facilitators and where this market is headed. Patients receive the same type of medical services in a manner that they are accustomed to in their home countries as doctors, nurses and other health professionals are often trained to western standards and practices. Health tourism is a sector where developing countries such as India have great potential due to their advantage based on providing world-class treatment at competitive prices combined with an attractive tourism heritage. Medical tourism is the process of seeking and receiving your medical care abroad instead of using your native services .India's growth rate in tourism is expected to increase which makes India a very desirable tourist destination To download a song. Medical tourism in India provides immediate treatment for low-cost prices at world-class hospitals. The Hospitals provide services like Neurology, Neurosurgery, Oncology, Ophthalmology, Rheumatology, Endocrinology, ENT, Pediatrics, Pediatric michael kors handbags outlet Surgery michael kors handbags outlet, Pediatric Neurology, Urology, Nephrology, Dermatology, Dentistry, Plastic Surgery, Gynecology, Psychiatry, General Medicine and General Surgery. India has always encouraged medical tourism. Ayurveda mostly practiced in southern India is a traditional form of treatment which includes the use of natural herbs as medicines and trained physical exercise. The high rate of investment in medical research in India and its history michael kors handbags outlet of subsidized medical education have created some of the most efficient medical professionals in the world. The Indian government is also extremely supportive of medical tourism. The government has issued special visa for international patients who travel to India for treatment. The government is investing heavily in various projects under medical tourism which will build hospitals for the patients and budget hotels for their relatives which covers numerous kinds of income other than wages. The aim is to provide you cost effective medical treatment, whether michael kors outlet sale you are a sightseer who wants to undergo a quick cosmetic surgery in India or traveling to the country specifically for the purpose of more complicated medical procedures like neuron and spine surgery. Popular indigenous healthcare traditions include Ayurveda, Siddha, Unani, Naturopathy and Yoga. Ayurveda provides a complete system of preventive medicine and healthcare, which has been www.michaelkorsrealbags.com proven as its effectiveness over a long period in India. www.michaelkorsmacys.us The science of Ayurveda is based on the knowledge of the human constitution. Medical tourism is an idea with which a greatly lucrative potential is attached. Medical tourism refers to traveling to other countries to obtain medical, dental and surgical treatment. It is a wonderful way to spend your recovery in a relaxing and www.michaelkorsrealbags.com beautiful environment, free from the hassles www.michael-kors-handbags-sale.com of daily routine. It would be definitely worth your time to figure out if medical tourism could benefit you as well. People do not simply come back to India for fun and frolic however Medical business enterprise in India has currently become one among the most important reasons to knock the doors of this nation. This idea is gaining pace wherever by patients from across the planet visit India for medical, surgical and tending. Medical Tourism in India does not simply lend you certain medical reasons however additionally provide you chance to explore the character of this amazing michael kors outlet sale country at its best. The tourism sector is always a sector of vital importance to a country as it contributes economically as well as socially. Medical tourism is a recent development in this sector and is showing good potential. Patients from developed countries are increasingly visiting to developing countries for availing medical treatments of various kinds and they mostly end up their visit seeing the tourist attractions of the place. There is an increasing use of computers and internet in medical tourism adding to the demand and convenience in this sector.
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