Phi-dependent Wave Function Calculator

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✖Wave Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Wave Quantum Number [n_e]			+10% -10%
✖The Wave function angle is the space (usually measured in degrees) between two intersecting waves where they meet.ⓘ Wave Function Angle [θ]			+10% -10%

✖Φ Dependent Wave Function is defined as is a complex-valued probability amplitude, and probabilities for possible results of measurements made on system can be derived from it.ⓘ Phi-dependent Wave Function [Φ_m]

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Formula

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Phi-dependent Wave Function

Formula

`"Φ"_{"m"} = (1/sqrt(2*pi))*(exp("n"_{"e"}*"θ"))`

Example

`"6.1E^7"=(1/sqrt(2*pi))*(exp("6"*"180°"))`

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Phi-dependent Wave Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle))
Φ_m = (1/sqrt(2*pi))*(exp(n_e*θ))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Φ Dependent Wave Function - Φ Dependent Wave Function is defined as is a complex-valued probability amplitude, and probabilities for possible results of measurements made on system can be derived from it.
Wave Quantum Number - Wave Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Wave Function Angle - (Measured in Radian) - The Wave function angle is the space (usually measured in degrees) between two intersecting waves where they meet.

STEP 1: Convert Input(s) to Base Unit

Wave Quantum Number: 6 --> No Conversion Required
Wave Function Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_m = (1/sqrt(2*pi))*(exp(n_e*θ)) --> (1/sqrt(2*pi))*(exp(6*3.1415926535892))

Evaluating ... ...

Φ_m = 61258758.2087753

STEP 3: Convert Result to Output's Unit

61258758.2087753 --> No Conversion Required

FINAL ANSWER

61258758.2087753 ≈ 6.1E+7 <-- Φ Dependent Wave Function

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics » Solid State Devices » Electrons & Holes » Phi-dependent Wave Function

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 18 Electrons & Holes Calculators

Phi-dependent Wave Function

Go Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle))

Order of Diffraction

Go Order of Diffraction = (2*Grafting Space*sin(Incident Angle))/Wavelength of Ray

Radius of Nth Orbit of Electron

Go Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)

AC Conductance

Go AC Conductance = ([Charge-e]/([BoltZ]*Temperature))*Electric Current

Quantum State

Go Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2)

Hole Component

Go Hole Component = Electron Component*Emitter Injection Efficiency/(1-Emitter Injection Efficiency)

Electron Flux Density

Go Electron Flux Density = (Mean Free Path Electron/(2*Time))*Difference in Electron Concentration

Mean Free Path

Go Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time

Electron Component

Go Electron Component = ((Hole Component)/Emitter Injection Efficiency)-Hole Component

Difference in Electron Concentration

Go Difference in Electron Concentration = Electron Concentration 1-Electron Concentration 2

Electron Multiplication

Go Electron Multiplication = Number of Electron Out of Region/Number of Electron in Region

Electron Out of Region

Go Number of Electron Out of Region = Electron Multiplication*Number of Electron in Region

Electron in Region

Go Number of Electron in Region = Number of Electron Out of Region/Electron Multiplication

Total Carrier Current Density

Go Total Carrier Current Density = Electron Current Density+Hole Current Density

Electron Current Density

Go Electron Current Density = Total Carrier Current Density-Hole Current Density

Hole Current Density

Go Hole Current Density = Total Carrier Current Density-Electron Current Density

Mean Time Spend by Hole

Go Mean Time Spend by Hole = Optical Generation Rate*Majority Carrier Decay

Wave Function Amplitude

Go Amplitude of Wave Function = sqrt(2/Potential Well Length)

Phi-dependent Wave Function Formula

Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle))
Φ_m = (1/sqrt(2*pi))*(exp(n_e*θ))

What is meant by Quantum tunnelling?

Quantum tunnelling or tunneling is the quantum mechanical phenomenon where a wavefunction can propagate through a potential barrier. The transmission through the barrier can be finite and depends exponentially on the barrier height and barrier width.

How to Calculate Phi-dependent Wave Function?

Phi-dependent Wave Function calculator uses Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle)) to calculate the Φ Dependent Wave Function, The Phi-dependent Wave Function formula is defined as is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it. Φ Dependent Wave Function is denoted by Φ_m symbol.

How to calculate Phi-dependent Wave Function using this online calculator? To use this online calculator for Phi-dependent Wave Function, enter Wave Quantum Number (n_e) & Wave Function Angle (θ) and hit the calculate button. Here is how the Phi-dependent Wave Function calculation can be explained with given input values -> 6.1E+7 = (1/sqrt(2*pi))*(exp(6*3.1415926535892)).

FAQ

What is Phi-dependent Wave Function?

The Phi-dependent Wave Function formula is defined as is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it and is represented as Φ_m = (1/sqrt(2*pi))*(exp(n_e*θ)) or Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle)). Wave Quantum Number describe values of conserved quantities in the dynamics of a quantum system & The Wave function angle is the space (usually measured in degrees) between two intersecting waves where they meet.

How to calculate Phi-dependent Wave Function?

The Phi-dependent Wave Function formula is defined as is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it is calculated using Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle)). To calculate Phi-dependent Wave Function, you need Wave Quantum Number (n_e) & Wave Function Angle (θ). With our tool, you need to enter the respective value for Wave Quantum Number & Wave Function Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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