但是不使用互斥，简单的回答:

System.Diagnostics;    
...
string thisprocessname = Process.GetCurrentProcess().ProcessName;

if (Process.GetProcesses().Count(p => p.ProcessName == thisprocessname) > 1)
                return;

把它放在Program.Main()中。 例子:

using System;
using System.Collections.Generic;
using System.Linq;
using System.Threading.Tasks;
using System.Windows.Forms;
using System.Diagnostics;

namespace Sample
{
    static class Program
    {
        /// <summary>
        /// The main entry point for the application.
        /// </summary>
        [STAThread]
        static void Main()
        {
            //simple add Diagnostics namespace, and these 3 lines below 
            string thisprocessname = Process.GetCurrentProcess().ProcessName;
            if (Process.GetProcesses().Count(p => p.ProcessName == thisprocessname) > 1)
                return;

            Application.EnableVisualStyles();
            Application.SetCompatibleTextRenderingDefault(false);
            Application.Run(new Sample());
        }
    }
}

您可以添加MessageBox。在if语句中显示并输入“应用程序已运行”。 这可能对某些人有帮助。

这段代码应该转到main方法。关于WPF中main方法的更多信息，请参阅这里。

[DllImport("user32.dll")]
private static extern Boolean ShowWindow(IntPtr hWnd, Int32 nCmdShow);

private const int SW_SHOWMAXIMIZED = 3;

static void Main() 
{
    Process currentProcess = Process.GetCurrentProcess();
    var runningProcess = (from process in Process.GetProcesses()
                          where
                            process.Id != currentProcess.Id &&
                            process.ProcessName.Equals(
                              currentProcess.ProcessName,
                              StringComparison.Ordinal)
                          select process).FirstOrDefault();
    if (runningProcess != null)
    {
        ShowWindow(runningProcess.MainWindowHandle, SW_SHOWMAXIMIZED);
       return; 
    }
}

方法2

static void Main()
{
    string procName = Process.GetCurrentProcess().ProcessName;
    // get the list of all processes by that name

    Process[] processes=Process.GetProcessesByName(procName);

    if (processes.Length > 1)
    {
        MessageBox.Show(procName + " already running");  
        return;
    } 
    else
    {
        // Application.Run(...);
    }
}

注意:上述方法假设您的进程/应用程序有唯一的名称。因为它使用进程名来查找是否有现有的处理器。所以，如果你的应用程序有一个非常普通的名字(如:记事本)，上述方法是行不通的。

简单地使用一个StreamWriter，怎么样?

System.IO.File.StreamWriter OpenFlag = null;   //globally

and

try
{
    OpenFlag = new StreamWriter(Path.GetTempPath() + "OpenedIfRunning");
}
catch (System.IO.IOException) //file in use
{
    Environment.Exit(0);
}

请看下面的代码。它是防止一个WPF应用程序有多个实例的一个很好的简单解决方案。

private void Application_Startup(object sender, StartupEventArgs e)
{
    Process thisProc = Process.GetCurrentProcess();
    if (Process.GetProcessesByName(thisProc.ProcessName).Length > 1)
    {
        MessageBox.Show("Application running");
        Application.Current.Shutdown();
        return;
    }

    var wLogin = new LoginWindow();

    if (wLogin.ShowDialog() == true)
    {
        var wMain = new Main();
        wMain.WindowState = WindowState.Maximized;
        wMain.Show();
    }
    else
    {
        Application.Current.Shutdown();
    }
}

一个新的使用互斥和IPC的东西，也传递任何命令行参数到运行的实例，是WPF单实例应用程序。

我在这里找不到一个简单的解决方案，所以我希望有人会喜欢这个:

更新2018-09-20

把这段代码放在Program.cs中:

using System.Diagnostics;

static void Main()
{
    Process thisProcess = Process.GetCurrentProcess();
    Process[] allProcesses = Process.GetProcessesByName(thisProcess.ProcessName);
    if (allProcesses.Length > 1)
    {
        // Don't put a MessageBox in here because the user could spam this MessageBox.
        return;
    }

    // Optional code. If you don't want that someone runs your ".exe" with a different name:

    string exeName = AppDomain.CurrentDomain.FriendlyName;
    // in debug mode, don't forget that you don't use your normal .exe name.
    // Debug uses the .vshost.exe.
    if (exeName != "the name of your executable.exe") 
    {
        // You can add a MessageBox here if you want.
        // To point out to users that the name got changed and maybe what the name should be or something like that^^ 
        MessageBox.Show("The executable name should be \"the name of your executable.exe\"", 
            "Wrong executable name", MessageBoxButtons.OK, MessageBoxIcon.Error);
        return;
    }

    // Following code is default code:
    Application.EnableVisualStyles();
    Application.SetCompatibleTextRenderingDefault(false);
    Application.Run(new MainForm());
}