The translation operator for a finite spatial displacement is given in several dimensions by TI) — еxp (2) h (a) Evaluate [xi,T(1)) (3) (b) Demonstrate how the expectation value (x) changes under translation.

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: 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: 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: When we say that electrons have particle properties and then continue to say that electrons have…

A:

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: Suppose the velocity of an electron in an atom is known to an accuracy of 2.0 X 103 m/s (reasonably…

A: Given: △v=2×103 m/s mass of an electron, m=9.1 ×10-31 kg

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: What exactly is meant by the term "quantum tunnelling"

A: Subatomic particles can tunnel through a potential barrier with energies below the barrier, due to…

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

A: Wave-particle duality profoundly influences our understanding of both matter and radiation in 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: what is the DeBroglie wavelength of a baseball traveling at a speed of 150 km/hr?

A: Given: Speed of baseball (v) = 150 km/hr = 41.667 m/s. Mass of baseball (m) = 145 gm. (from…

Q: What exactly is meant by the term "quantum tunnelling"?

A: Quantum tunnelling is a phenomenon where a subatomic particle or atom can be present on the opposite…

Q: When you flip a coin, the outcome is uncertain. Does this arise from quantum uncertainty?

A: Coin is too big a system for quantum uncertainty to show up.

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: In quantum mechanics, the importance of commute operators is that We will be able to measure their…

A: Introduction: Commutators are very important in Quantum Mechanics. As well as being how Heisenberg…