Consider a particle of mass m subject to a one-dimensional potential of the form Sika2 for x> 0, V (x) for x0 a. What is the ground state energy? b. What is the expectation value (x2) for the ground state?

Q: Show that it satisfies the following properties: Anticommutativity {f,g} = -{9, f} Bilinearity {af +…

A: Given, f,g=∑i∂xif ∂pig-∂pif ∂xig       ..........1 Anticommutativity: Now by definition,…

Q: What is the wavelength of a microwave whose frequency is 150 MHz? (remember M = (10)6)

A: Considering that the wave travels a distance of one wavelength in one period, is given by, V=fλ

Q: 64 Hydlrogen atom cleetron provides an example bapped be in 3D of Dotential an well.Can treated…

A:

Q: In the context of quantum mechanics, how does wave-particle duality influence our understanding of…

A: Wave-particle duality is a fundamental concept in quantum mechanics that significantly influences…

Q: Why we find out the ‘e/m’ ratio of electron then separately measure ‘e’ and ‘m’?

A: We find out 'e/m' ratio of electron then we separately measure 'e' and 'm' because , it is easy to…

Q: If the system is in a state described by the state vector ウ+ c+ cm where c, cz and ez are complex…

A: Relation between constants if function is normalised to unity  .

Q: In this problem we will be considering an electron in a 3-D cubic box with sides 1.00 nanometers…

A: This is very simple problem problem in quantum mechanics. we can calculate the expectation values…

Q: What is meant by  quantum length ?

A: Quantum length is also known as Planck's length. It is a unit of length and is a base unit in the…

Q: The energy of the quantum mechanical particle in a box decreases by decreasing the box dimension…

A: E=n2h28mL2 n is the quantized energy level m is the mass of particle L is the length of box

Q: 2) Explain the main failures of the classical physics that were beautifully explained by quantum…

A: The objective of the question is to understand the limitations of classical physics and how quantum…

Q: Hurry !!

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Q: 1. The wavelike properties of electrons are useful in O determining the velocity and position of a…

A: Ans:- Particles like electron and protons have both particles like and wave like behaviour. This…

Q: In what ways are matter and energy related that were not known before the development of relativity…

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Q: ** 19. Electrons are accelerated through a potential difference of 100 volts and allowed to impinge…

A: (a). The value of the potential difference is V=100 volts The kinetic energy of the electron is,…

Q: Name the modern uses and applications for quantum entanglement

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Q: 4: (a) Explain quantum confinement and quantum dots.

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Q: What is a photon?  a A positive particle  b A quantum of light  c A wave of energy  d A negative…

A: It is asked in the question that what is the photon

Q: E(z, t) = Eoe'kz-wr)§ is the solution of Maxwell's equations. 1. Show that E Eo Eglc B y,

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Q: Let A and B be two mutually exclusive events, such that P (A) = 0.25 and P (B) = 0.35, determine:…

A: Introduction: Mutually exclusive events are called disjoint events. If two events are considered…

Q: If the energy of a phonon is 0.044 ev, then its frequency in GHz is: A/5547 B/6626 C/4489 D/7754

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Q: As the intensity of the light changes to more intensity, what happened to the number of electrons…

A: When a light consisting of high energetic photons strikes on metal surface, electrons are ejected…

Q: When checking the pressure in tires, some air escapes. Why does Heisenberg’s uncertainty principle…

A: The pressure is the macroscopic study of molecules in gases, not a microscopic. That is to study the…

Q: If the matter has a wave nature, why is this wave-like characteristic not observable in our daily…

A: As per De Broglie's hypothesis, all matter will behave like a wave. The matter-wave thud formed will…

Q: 6- prove that average (a + a*)² equal to (2n + 1) and the average of (a – a*)² is –(2n + 1)

A: Given: To prove that average (a+a+)2 = (2n+1) and the average of (a-a+)2 is -(2n+1)

Q: The matter has wave-like properties. Explain how?

A: Given: The wave like properties of the matter is explained below.

Q: A quantum particle has the following wavefunction: 2 E(r)e¬i(1.8[eV])t/h 1 ¥(x,0)…

A:

Q: How do quantum effects, like quantum tunneling, come into play in super-high frequency transmission…

A: Super-high frequency transmission cables are vital components of modern communication systems,…

Q: If the energy of the phonon is 0.044 eV, then its frequency (in GHz) is – 1. 6626 2. 5547 3. 7754 4.…

A: Given data : Energy of photon=E   To find : Frequency

Q: What did Schrodinger's Cat experiment prove?

A: Schrodinger's Cat experiment is a thought experiment devised by Erwin Schrodinger to explain…

Q: At what temperature half of the particles have 0 energy? Does it make sense?

A: Consider that the system has N weakly interacting identical particles in the two energy levels 0 and…