$20 Bonus + 25% OFF +
5
%
Cashback
information
Securing Higher Grades Costing Your Pocket? Book Your Assignment at The Lowest Price Now!

Question:

Write an essay on molecule.

 

Answer:

Every molecule is made up of atoms which are in turn composed of nuclei and electrons. When the behavior of nuclei and electrons were first being studied by the scientists the experimental findings were being tried to be interpreted in terms of Newtonian motions which eventually was unsuccessful. It was discovered that small particles of light do not behave in accordance to the Newtonian motions (Baker, 2014). It was observed that electrons as well as other small particles of light exhibit wave-like characteristics. After putting a lot of effort, a new theory was devised in 1924 which came to be known as quantum mechanics and currently is the fundamental framework for a pure understanding of sub-nuclear, nuclear and atomic physics along with condensed matter physics. The laws prior to the quantum mechanics are termed as classical mechanics. Even if the classical mechanics is considered to be an approximation to quantum mechanics, much of the framework of quantum theory has been inherited from the classical theory itself (Ball, 2014).

 

The emergence of quantum mechanics attempted to explain the phenomena stated below:

The quantum state

The idea that objects follow a trajectory path in 3D space should be abandoned especially for microscopic objects for 2 reasons;

  1. If a particle follows a trajectory, it should possess a particular momentum and position at every moment in time. Nonetheless, no experiment has been able to verify this theory.
  2. The assumption that electrons and photons move through a trajectory concludes something which cannot be in alignment with experiments (Bartels, 2011).

In classical theory, the 1D motion is represented by considering a particle which moves to and fro in a thin closed pipe which has a length L. The objection which is raised to this representation is that when a set of N orthogonal vectors are introduced, along with it an N-dimensional space is introduced which is composed of the linear combinations of the mentioned vectors (BaÅŸar, 2010). The motion of electron can be viewed as:

As suggested by Benioff, (2016) in a complex N-dimensional vector space unit vectors represent the physical state of an electron. In the space having N number of dimensions, the motion of the electron correlates with a trajectory which is along the surface of a unit sphere in the space. This signifies that the travel of electron can be smooth as well as continuous. In order to accomplish the new representation of motion, the limit ε → 0 is required to be taken where the number of intervals sent is N → ∞. Thus, the physical states are considered to be the vectors of unit length where the dimensional vector is infinite and is termed as Hilbert Space. Hilbert space can be defined as the vector space has infinite dimensions of all functions that are square-integrable (Tsang, 2013).

 

A set of generalized momentum and coordinates enumerates the physical state of a system in classical mechanics. Through time, a trajectory is traced by the physical state through the phase space. When a single particle has a 3 dimensional movement, the physical state is designated by {~x, p~} whereas the phase space is six dimensional. The trajectory in the 6D phase space is projected on the 3D subspace which is stretched through all the three axes (Hammerer, 2013).

The physical state of a moving point-like particle in 1D, in quantum mechanics, is identified by a wavefunction ψ(x,t) at every moment of time. At any given moment, the wavefunction is considered to be only a function of x and also as a vector in Hilbert space (Louko, 2011). Through time, the path is followed by the vector in Hilbert space. Therefore, if a rough analogy is made to the unit vector’s motion in spaces that have finite dimensions, it can be imagined that a path is traced by the tip of the vector on the unit sphere’s surface given that the space is infinite- dimension in this case (Lu, 2011).

Dynamics of quantum state

A trajectory present in 3D is used to represent the classical motion of a particle whereas; a curve on the surface of a unit sphere represents the quantum mechanical motion of a particle, provided that the space is infinite-dimensional. The question that arises here is how two theories can be so different since the classical theory is regarded as an approximation of quantum theory. The answer to this would be that the physical state of the particle is inconsequential. The thing which matters is the observation of the position of the particle which is in approximation of the classical trajectory ("Non-hermitean quantum mechanics", 2011). Even if the quantum state of a particle is not in alignment with a particular point in 3d space, but a trajectory is traced by the expectation value of a position of the particle through ordinary space in time t given by

< x >≡ Z dx xψ∗ (x,t)ψ(x,t)

The laws of motion < x > can be derived if the equation of motion for quantum state ψ(x,t), is provided and also can be compared to the classical laws of motion x(t). The most probable possibility is that both of the sets might end up looking similar which is termed as “Ehrenfest’s Principle”.

 

The Schrodinger wave equation

The number of dimensions is reliant on the number of particles as well as the number of spatial dimensions that are required in order for the characterization of the motion and position of the particle.

An electron is moving across a 2 dimensional space which has a mass m and charge, e which defines the x, y plane. It is assumed that a constant but not time varying potential is experienced by the electron at every point in the plane (Roser, 2016). The Schrodinger equation is given by       

  • ih (∂ψ/∂t) = −( h2 2 / 2m ∂x2) ψ + V (x)ψ

But ultimately, instead of the Schrodinger equation, the boundary conditions are responsible for the determination of discretion or continuity of the eigenvalues.

 

References

Baker, M. (2014). Lectures on quantum mechanics. Quantum Inf Process, 13(9), 2149-2151. https://dx.doi.org/10.1007/s11128-014-0796-9

Ball, P. (2014). Thermodynamics Confronts Quantum Mechanics. Physics, 7. https://dx.doi.org/10.1103/physics.7.35

Bartels, L. (2011). Visualizing quantum mechanics. Physics, 4. https://dx.doi.org/10.1103/physics.4.64

BaÅŸar, E. (2010). From “Quantum Mechanics to the Quantum Brain”. Neuroquantology, 8(3). https://dx.doi.org/10.14704/nq.2010.8.3.333

Benioff, P. (2016). Effects of a scalar scaling field on quantum mechanics. Quantum Inf Process. https://dx.doi.org/10.1007/s11128-016-1312-1

Hammerer, K. (2013). Quantum Mechanics Tackles Mechanics. Science, 342(6159), 702-703. https://dx.doi.org/10.1126/science.1245797

Louko, J. (2011). Advanced Mechanics and General Relativity. Class. Quantum Grav., 28(8), 089002. https://dx.doi.org/10.1088/0264-9381/28/8/089002

Lu, J. (2011). Transformation of Quantum States in Quantum Computation. AMM, 80-81, 276-278. https://dx.doi.org/10.4028/www.scientific.net/amm.80-81.276

Non-hermitean quantum mechanics. (2011). Int. J. Quantum Chem., 112(15), 2764-2765. https://dx.doi.org/10.1002/qua.23301

Roser, P. (2016). Quantum mechanics on York slices. Class. Quantum Grav., 33(6), 065001. https://dx.doi.org/10.1088/0264-9381/33/6/065001

Tsang, M. (2013). Testing quantum mechanics: a statistical approach. Quantum Measurements And Quantum Metrology, 1. https://dx.doi.org/10.2478/qmetro-2013-0007

OR

MyAssignmenthelp.com has been recognized as the safest dissertation help company in Australia. We conduct a rigorous interview process to select most experienced and talented dissertation experts. This is how, we fulfill students search can someone do my dissertation perfectly or who can write my dissertation plagiarism free and provide them needed academic assistance. Apart from writing help. we also provide dissertation editing services to help students submit perfectly written dissertation.

Most Downloaded Sample Of Physics

Job Design In Context To Dunkin

Download : 0 | Pages : 7

Answer:   Introduction Dunkin’ Donuts is set for expansions in five different locations in the next two years. The learner which is recently being crowned as the district manager for the company has been provided with responsibilities to take care of the related processes. Structuring and staffing are the essential parts of an expansion which the learner will be responsible for. Hence, the study gives a full coverage to recruitmen...

Read More arrow

The Concept Of Beta Decay Unites

Download : 0 | Pages : 14

Question: You are required to formulate a piece of investigative report specializing in the field of nuclear physics (Specifically on the concept of shielding from radioactive decay, magnetic deflection of Beta decay products, energy and velocity calculation of Beta decay products.)     Answer Introduction The concept of beta decay unites kinds of nuclear transformations: electron (β‾) decay, positron (β?) decay ...

Read More arrow

Category Management And Comments

Download : 0 | Pages : 4

Question: Discuss about the Category Management And comments.     Answer: Category Changes and comments Analgesics The given product has a high GP Margin of 49.55%, ST of 7.5 and a LM OF 17%. As the climate is hot, the given product is popular.   Baby The pharmacy should ensure that they stock the given product in high stock. The GP% is at a low of 22.82%. Hence, there could be sepa...

Read More arrow

Role Of Science And Inclusion In Primary Education

Download : 0 | Pages : 11

Question: Discuss about the Role of Science and Inclusion in Primary Education.   Answer: Introduction Science and its importance in today’s world In everyday life, people apply technologies and use products produced scientifically. According to the study by University of Texas Arlington (2017, September 8) public policy for solving life issues are passed on the basis of scientific evidence. Additionally, Lederman & Abell (...

Read More arrow

Humanity Try To Contact Intelligent Aliens

Download : 0 | Pages : 2

Question: Discuss about the Humanity Try To Contact Intelligent Aliens.   Answer: I would like to ask this question as this is one of the major concerns people have with regards to ETI. Also before proceeding to explore the ETI, it is important to ensure that they do not intend to harm us. If they do intend to harm us, then we would need to focus on strengthening our military and space defense rather than have scientific exchanges. Th...

Read More arrow
Next
watch

Save Time & improve Grade

Just share your requirement and get a customized solution.

question
We will use e-mail only for:

arrow Communication regarding your orders

arrow To send you invoices, and other billing info

arrow To provide you with information of offers and other benefits

1,140,679

Orders

4.9/5

Overall Rating

5,047

Experts

Our Amazing Features

delivery

On Time Delivery

Our writers make sure that all orders are submitted, prior to the deadline.

work

Plagiarism Free Work

Using reliable plagiarism detection software, Turnitin.com.We only provide customized 100 percent original papers.

time

24 X 7 Live Help

Feel free to contact our assignment writing services any time via phone, email or live chat.

subject

Services For All Subjects

Our writers can provide you professional writing assistance on any subject at any level.

price

Best Price Guarantee

Our best price guarantee ensures that the features we offer cannot be matched by any of the competitors.

Our Experts

Assignment writing guide
student rating student rating student rating student rating student rating 5/5

2632 Order Completed

100% Response Time

Albert Ambrosio

MSc in Nursing

London, United Kingdom

Hire Me
Assignment writing guide
student rating student rating student rating student rating student rating 5/5

453 Order Completed

98% Response Time

Howard Asuncion

LLM in Criminal Law

London, United Kingdom

Hire Me
Assignment writing guide
student rating student rating student rating student rating student rating 5/5

2279 Order Completed

97% Response Time

Zachary Perez

PhD in Computer Science and Information System

Washington, United States

Hire Me
Assignment writing guide
student rating student rating student rating student rating student rating 5/5

529 Order Completed

95% Response Time

Ivan Blank

PhD in Functional Human Biology

Wellington, New Zealand

Hire Me

FREE Tools

plagiarism

Plagiarism Checker

Get all your documents checked for plagiarism or duplicacy with us.

essay

Essay Typer

Get different kinds of essays typed in minutes with clicks.

edit

GPA Calculator

Calculate your semester grades and cumulative GPa with our GPA Calculator.

referencing

Chemical Equation Balancer

Balance any chemical equation in minutes just by entering the formula.

calculator

Word Counter & Page Calculator

Calculate the number of words and number of pages of all your academic documents.

Refer Just 5 Friends to Earn More than $2000

Check your estimated earning as per your ability

1

1

1

Your Approx Earning

Live Review

Our Mission Client Satisfaction

Great job awesome, I got a good grade for that and I'm sure to refer couple of friends who are not award of it. Thank you

flag

User Id: 341686 - 18 Nov 2019

Australia

student rating student rating student rating student rating student rating

got a 99! The paper was missing out one detail but can\'t complain! it helped my grade tremendously.

flag

User Id: 171706 - 18 Nov 2019

Australia

student rating student rating student rating student rating student rating

this one was the best mark I got. hope I can get a very good price in the future

flag

User Id: 4793 - 18 Nov 2019

Australia

student rating student rating student rating student rating student rating

good job. I expected it to be less than good but I was surprised to see good solutions and answer. Thank you very much and I will come again here in case if I needed a help.

flag

User Id: 343254 - 18 Nov 2019

Australia

student rating student rating student rating student rating student rating
Have any Query?